Referenser:
- https://code.google.com/p/projecteuler-solutions/wiki/ProjectEulerSolutions
- http://eulersolutions.fr.yuku.com
- http://nayuki.eigenstate.org/page/project-euler-solutions
Fuska inte med lösningar!
Problem 1: Multiples of 3 and 5
233168
Problem 2: Even Fibonacci numbers
4613732
Problem 3: Largest prime factor
6857
Problem 4: Largest palindrome product
906609
Problem 5: Smallest multiple
232792560
Problem 6: Sum square difference
25164150
Problem 7: 10001st prime
104743
Problem 8: Largest product in a series
40824
Problem 9: Special Pythagorean triplet
31875000
Problem 10: Summation of primes
142913828922
Problem 11: Largest product in a grid
70600674
Problem 12: Highly divisible triangular number
76576500
Problem 13: Large sum
5537376230
Problem 14: Longest Collatz sequence
837799
Problem 15: Lattice paths
137846528820
Problem 16: Power digit sum
1366
Problem 17: Number letter counts
21124
Problem 18: Maximum path sum I
1074
Problem 19: Counting Sundays
171
Problem 20: Factorial digit sum
648
Problem 21: Amicable numbers
31626
Problem 22: Names scores
871198282
Problem 23: Non-abundant sums
4179871
Problem 24: Lexicographic permutations
2783915460
Problem 25: 1000-digit Fibonacci number
4782
Problem 26: Reciprocal cycles
983
Problem 27: Quadratic primes
-59231
Problem 28: Number spiral diagonals
669171001
Problem 29: Distinct powers
9183
Problem 30: Digit fifth powers
443839
Problem 31: Coin sums
73682
Problem 32: Pandigital products
45228
Problem 33: Digit canceling fractions
100
Problem 34: Digit factorials
40730
Problem 35: Circular primes
55
Problem 36: Double-base palindromes
872187
Problem 37: Truncatable primes
748317
Problem 38: Pandigital multiples
932718654
Problem 39: Integer right triangles
840
Problem 40: Champernowne's constant
210
Problem 41: Pandigital prime
7652413
Problem 42: Coded triangle numbers
162
Problem 43: Sub-string divisibility
16695334890
Problem 44: Pentagon numbers
5482660
Problem 45: Triangular, pentagonal, and hexagonal
1533776805
Problem 46: Goldbach's other conjecture
5777
Problem 47: Distinct primes factors
134043
Problem 48: Self powers
9110846700
Problem 49: Prime permutations
296962999629
Problem 50: Consecutive prime sum
997651
Problem 51: Prime digit replacements
121313
Problem 52: Permuted multiples
142857
Problem 53: Combinatoric selections
4075
Problem 54: Poker hands
376
Problem 55: Lychrel numbers
249
Problem 56: Powerful digit sum
972
Problem 57: Square root convergents
153
Problem 58: Spiral primes
26241
Problem 59: XOR decryption
107359
Problem 60: Prime pair sets
26033
Problem 61: Cyclical figurate numbers
28684
Problem 62: Cubic permutations
127035954683
Problem 63: Powerful digit counts
49
Problem 64: Odd period square roots
1322
Problem 65: Convergents of e
272
Problem 66: Diophantine equation
661
Problem 67: Maximum path sum II
7273
Problem 68: Magic 5-gon ring
6531031914842725
Problem 69: Totient maximum
510510
Problem 70: Totient permutation
8319823
Problem 71: Ordered fractions
428570
Problem 72: Counting fractions
303963552391
Problem 73: Counting fractions in a range
7295372
Problem 74: Digit factorial chains
402
Problem 75: Singular integer right triangles
161667
Problem 76: Counting summations
190569291
Problem 77: Prime summations
71
Problem 78: Coin partitions
55374
Problem 79: Passcode derivation
73162890
Problem 80: Square root digital expansion
40886
Problem 81: Path sum: two ways
427337
Problem 82: Path sum: three ways
260324
Problem 83: Path sum: four ways
425185
Problem 84: Monopoly odds
101524
Problem 85: Counting rectangles
2772
Problem 86: Cuboid route
1818
Problem 87: Prime power triples
1097343
Problem 88: Product-sum numbers
7587457
Problem 89: Roman numerals
743
Problem 90: Cube digit pairs
1217
Problem 91: Right triangles with integer coordinates
14234
Problem 92: Square digit chains
8581146
Problem 93: Arithmetic expressions
1258
Problem 94: Almost equilateral triangles
518408346
Problem 95: Amicable chains
14316
Problem 96: Su Doku
24702
Problem 97: Large non-Mersenne prime
8739992577
Problem 98: Anagramic squares
18769
Problem 99: Largest exponential
709
Problem 100: Arranged probability
756872327473
Problem 101: Optimum polynomial
37076114526
Problem 102: Triangle containment
228
Problem 103: Special subset sums: optimum
20313839404245
Problem 104: Pandigital Fibonacci ends
329468
Problem 105: Special subset sums: testing
73702
Problem 106: Special subset sums: meta-testing
21384
Problem 107: Minimal network
259679
Problem 108: Diophantine reciprocals I
180180
Problem 109: Darts
38182
Problem 110: Diophantine reciprocals II
9350130049860600
Problem 111: Primes with runs
612407567715
Problem 112: Bouncy numbers
1587000
Problem 113: Non-bouncy numbers
51161058134250
Problem 114: Counting block combinations I
16475640049
Problem 115: Counting block combinations II
168
Problem 116: Red, green or blue tiles
20492570929
Problem 117: Red, green, and blue tiles
100808458960497
Problem 118: Pandigital prime sets
44680
Problem 119: Digit power sum
248155780267521
Problem 120: Square remainders
333082500
Problem 121: Disc game prize fund
2269
Problem 122: Efficient exponentiation
1582
Problem 123: Prime square remainders
21035
Problem 124: Ordered radicals
21417
Problem 125: Palindromic sums
2906969179
Problem 126: Cuboid layers
18522
Problem 127: abc-hits
18407904
Problem 128: Hexagonal tile differences
14516824220
Problem 129: Repunit divisibility
1000023
Problem 130: Composites with prime repunit property
149253
Problem 131: Prime cube partnership
173
Problem 132: Large repunit factors
843296
Problem 133: Repunit nonfactors
453647705
Problem 134: Prime pair connection
18613426663617118
Problem 135: Same differences
4989
Problem 136: Singleton difference
2544559
Problem 137: Fibonacci golden nuggets
1120149658760
Problem 138: Special isosceles triangles
1118049290473932
Problem 139: Pythagorean tiles
10057761
Problem 140: Modified Fibonacci golden nuggets
5673835352990
Problem 141: Investigating progressive numbers,
878454337159
Problem 142: Perfect Square Collection
1006193
Problem 143: Investigating the Torricelli point of a triangle
30758397
Problem 144: Investigating multiple reflections of a laser beam.
354
Problem 145: How many reversible numbers are there below one-billion?
608720
Problem 146: Investigating a Prime Pattern
676333270
Problem 147: Rectangles in cross-hatched grids
846910284
Problem 148: Exploring Pascal's triangle.
2129970655314432
Problem 149: Searching for a maximum-sum subsequence.
52852124
Problem 150: Searching a triangular array for a sub-triangle having minimum-sum.
-271248680
Problem 151: Paper sheets of standard sizes: an expected-value problem.
0.464399
Problem 152: Writing 1/2 as a sum of inverse squares
301
Problem 153: Investigating Gaussian Integers
17971254122360635
Problem 154: Exploring Pascal's pyramid.
479742450
Problem 155: Counting Capacitor Circuits.
3857447
Problem 156: Counting Digits
21295121502550
Problem 157: Solving the diophantine equation
53490
Problem 158: Exploring strings for which only one character comes lexicographically after its neighbour to the left.
409511334375
Problem 159: Digital root sums of factorisations.
14489159
Problem 160: Factorial trailing digits
16576
Problem 161: Triominoes
20574308184277971
Problem 162: Hexadecimal numbers
3D58725572C62302
Problem 163: Cross-hatched triangles
343047
Problem 164: Numbers for which no three consecutive digits have a sum greater than a given value.
378158756814587
Problem 165: Intersections
2868868
Problem 166: Criss Cross
7130034
Problem 167: Investigating Ulam sequences
3916160068885
Problem 168: Number Rotations
59206
Problem 169: Exploring the number of different ways a number can be expressed as a sum of powers of 2.
178653872807
Problem 170: Find the largest 0 to 9 pandigital that can be formed by concatenating products.
9857164023
Problem 171: Finding numbers for which the sum of the squares of the digits is a square.
142989277
Problem 172: Investigating numbers with few repeated digits.
227485267000992000
Problem 173: Using up to one million tiles how many different "hollow" square laminae can be formed?
1572729
Problem 174: Counting the number of "hollow" square laminae that can form one, two, three, ... distinct arrangements.
209566
Problem 175: Fractions involving the number of different ways a number can be expressed as a sum of powers of 2.
1,13717420,8
Problem 176: Right-angled triangles that share a cathetus.
96818198400000
Problem 177: Integer angled Quadrilaterals.
129325
Problem 178: Step Numbers
126461847755
Problem 179: Consecutive positive divisors
986262
Problem 180: Rational zeros of a function of three variables.
285196020571078987
Problem 181: Investigating in how many ways objects of two different colours can be grouped.
83735848679360680
Problem 182: RSA encryption
399788195976
Problem 183: Maximum product of parts
48861552
Problem 184: Triangles containing the origin.
1725323624056
Problem 185: Number Mind
4640261571849533
Problem 186: Connectedness of a network.
2325629
Problem 187: Semiprimes
17427258
Problem 188: The hyperexponentiation of a number
95962097
Problem 189: Tri-colouring a triangular grid
10834893628237824
Problem 190: Maximising a weighted product
371048281
Problem 191: Prize Strings
1918080160
Problem 192: Best Approximations
57060635927998347
Problem 193: Squarefree Numbers
684465067343069
Problem 194: Coloured Configurations
61190912
Problem 195: Inscribed circles of triangles with one angle of 60 degrees
75085391
Problem 196: Prime triplets
322303240771079935
Problem 197: Investigating the behaviour of a recursively defined sequence
1.710637717
Problem 198: Ambiguous Numbers
52374425
Problem 199: Iterative Circle Packing
0.00396087
Problem 200: Find the 200th prime-proof sqube containing the contiguous sub-string "200"
229161792008
Problem 201: Subsets with a unique sum
115039000
Problem 202: Laserbeam
1209002624
Problem 203: Squarefree Binomial Coefficients
34029210557338
Problem 204: Generalised Hamming Numbers
2944730
Problem 205: Dice Game
0.5731441
Problem 206: Concealed Square
1389019170
Problem 207: Integer partition equations
44043947822
Problem 208: Robot Walks
331951449665644800
Problem 209: Circular Logic
15964587728784
Problem 210: Obtuse Angled Triangles
1598174770174689458
Problem 211: Divisor Square Sum
1922364685
Problem 212: Combined Volume of Cuboids
328968937309
Problem 213: Flea Circus
330.721154
Problem 214: Totient Chains
1677366278943
Problem 215: Crack-free Walls
806844323190414
Problem 216: Investigating the primality of numbers of the form 2
5437849
Problem 217: Balanced Numbers
6273134
Problem 218: Perfect right-angled triangles
0
Problem 219: Skew-cost coding
64564225042
Problem 220: Heighway Dragon
139776,963904
Problem 221: Alexandrian Integers
1884161251122450
Problem 222: Sphere Packing
1590933
Problem 223: Almost right-angled triangles I
61614848
Problem 224: Almost right-angled triangles II
4137330
Problem 225: Tribonacci non-divisors
2009
Problem 226: A Scoop of Blancmange
0.11316017
Problem 227: The Chase
3780.618622
Problem 228: Minkowski Sums
86226
Problem 229: Four Representations using Squares
11325263
Problem 230: Fibonacci Words
850481152593119296
Problem 231: The prime factorisation of binomial coefficients
7526965179680
Problem 232: The Race
0.83648556
Problem 233: Lattice points on a circle
271204031455541309
Problem 234: Semidivisible numbers
1259187438574927161
Problem 235: An Arithmetic Geometric sequence
1.002322108633
Problem 236: Luxury Hampers
123/59
Problem 237: Tours on a 4 x n playing board
15836928
Problem 238: Infinite string tour
9922545104535661
Problem 239: Twenty-two Foolish Primes
0.001887854841
Problem 240: Top Dice
7448717393364181966
Problem 241: Perfection Quotients
482316491800641154
Problem 242: Odd Triplets
997104142249036713
Problem 243: Resilience
892371480
Problem 244: Sliders
96356848
Problem 245: Coresilience
288084712410001
Problem 246: Tangents to an ellipse
810834388
Problem 247: Squares under a hyperbola
782252
Problem 248: Numbers for which Euler’s totient function equals 13!
23507044290
Problem 249: Prime Subset Sums
9275262564250418
Problem 250: 250250
1425480602091519
Problem 251: Cardano Triplets
18946051
Problem 252: Convex Holes
104924.0
Problem 253: Tidying up
11.492847
Problem 254: Sums of Digit Factorials
8184523820510
Problem 255: Rounded Square Roots
4.4474011180
Problem 256: Tatami-Free Rooms
85765680
Problem 257: Angular Bisectors
139012411
Problem 258: A lagged Fibonacci sequence
12747994
Problem 259: Reachable Numbers
20101196798
Problem 260: Stone Game
167542057
Problem 261: Pivotal Square Sums
238890850232021
Problem 262: Mountain Range.
2531.205
Problem 263: An engineers' dream come true
2039506520
Problem 264: Triangle Centres
2816417.1055
Problem 265: Binary Circles
209110240768
Problem 266: Pseudo Square Root
1096883702440585
Problem 267: Billionaire
0.999992836187
Problem 268: Counting numbers with at least four distinct prime factors less than 100
785478606870985
Problem 269: Polynomials with at least one integer root
1311109198529286
Problem 270: Cutting Squares
82282080
Problem 271: Modular Cubes, part 1
4617456485273129588
Problem 272: Modular Cubes, part 2
8495585919506151122
Problem 273: Sum of Squares
2032447591196869022
Problem 274: Divisibility Multipliers
1601912348822
Problem 275: Balanced Sculptures
15030564
Problem 276: Primitive Triangles
5777137137739632912
Problem 277: A Modified Collatz sequence
1125977393124310
Problem 278: Linear Combinations of Semiprimes
1228215747273908452
Problem 279: Triangles with integral sides and an integral angle
416577688
Problem 280: Ant and seeds
430.088247
Problem 281: Pizza Toppings
1485776387445623
Problem 282: The Ackermann function
1098988351
Problem 283: Integer sided triangles for which the area/perimeter ratio is integral.
28038042525570324
Problem 284: Steady Squares
5a411d7b
Problem 285: Pythagorean odds
157055.80999
Problem 286: Scoring probabilities
52.6494571953
Problem 287: Quadtree encoding (a simple compression algorithm)
313135496
Problem 288: An enormous factorial
605857431263981935
Problem 289: Eulerian Cycles
6567944538
Problem 290: Digital Signature
20444710234716473
Problem 291: Panaitopol Primes
4037526
Problem 292: Pythagorean Polygons
3600060866
Problem 293: Pseudo-Fortunate Numbers
2209
Problem 294: Sum of digits - experience #23
789184709
Problem 295: Lenticular holes
4884650818
Problem 296: Angular Bisector and Tangent
1137208419
Problem 297: Zeckendorf Representation
2252639041804718029
Problem 298: Selective Amnesia
1.76882294
Problem 299: Three similar triangles
549936643
Problem 300: Protein folding
8.0540771484375
Problem 301: Nim
2178309
Problem 302: Strong Achilles Numbers
1170060
Problem 303: Multiples with small digits
1111981904675169
Problem 304: Primonacci
283988410192
Problem 305: Reflexive Position
18174995535140
Problem 306: Paper-strip Game
852938
Problem 307: Chip Defects
0.7311720251
Problem 308: An amazing Prime-generating Automaton
1539669807660924
Problem 309: Integer Ladders
210139
Problem 310: Nim Square
2586528661783
Problem 311: Biclinic Integral Quadrilaterals
2466018557
Problem 312: Cyclic paths on Sierpiński graphs
324681947
Problem 313: Sliding game
2057774861813004
Problem 314: The Mouse on the Moon
132.52756426
Problem 315: Digital root clocks
13625242
Problem 316: Numbers in decimal expansions
542934735751917735
Problem 317: Firecracker
1856532.8455
Problem 318: 2011 nines
709313889
Problem 319: Bounded Sequences
268457129
Problem 320: Factorials divisible by a huge integer
278157919195482643
Problem 321: Swapping Counters
2470433131948040
Problem 322: Binomial coefficients divisible by 10
999998760323313995
Problem 323: Bitwise-OR operations on random integers
6.3551758451
Problem 324: Building a tower
96972774
Problem 325: Stone Game II
54672965
Problem 326: Modulo Summations
1966666166408794329
Problem 327: Rooms of Doom
34315549139516
Problem 328: Lowest-cost Search
260511850222
Problem 329: Prime Frog
199740353/29386561536000
Problem 330: Euler's Number
15955822
Problem 331: Cross flips
467178235146843549
Problem 332: Spherical triangles
2717.751525
Problem 333: Special partitions
3053105
Problem 334: Spilling the beans
150320021261690835
Problem 335: Gathering the beans
5032316
Problem 336: Maximix Arrangements
CAGBIHEFJDK
Problem 337: Totient Stairstep Sequences
85068035
Problem 338: Cutting Rectangular Grid Paper
15614292
Problem 339: Peredur fab Efrawg
19823.542204
Problem 340: Crazy Function
291504964
Problem 341: Golomb's self-describing sequence
56098610614277014
Problem 342: The totient of a square is a cube
5943040885644
Problem 343: Fractional Sequences
269533451410884183
Problem 344: Silver dollar game
65579304332
Problem 345: Matrix Sum
13938
Problem 346: Strong Repunits
336108797689259276
Problem 347: Largest integer divisible by two primes
11109800204052
Problem 348: Sum of a square and a cube
1004195061
Problem 349: Langton's ant
115384615384614952
Problem 350: Constraining the least greatest and the greatest least
84664213
Problem 351: Hexagonal orchards
11762187201804552
Problem 352: Blood tests
378563.260589
Problem 353: Risky moon
1.2759860331
Problem 354: Distances in a bee's honeycomb
58065134
Problem 355: Maximal coprime subset
1726545007
Problem 356: Largest roots of cubic polynomials
28010159
Problem 357: Prime generating integers
1739023853137
Problem 358: Cyclic numbers
3284144505
Problem 359: Hilbert's New Hotel
40632119
Problem 360: Scary Sphere
878825614395267072
Problem 361: Subsequence of Thue-Morse sequence
178476944
Problem 362: Squarefree factors
457895958010
Problem 363: Bézier Curves
0.0000372091
Problem 364: Comfortable distance
44855254
Problem 365: A huge binomial coefficient
162619462356610313
Problem 366: Stone Game III
88351299
Problem 367: bozo sort
48271207
Problem 368: A Kempner-like series
253.6135092068
Problem 369: Badugi
862400558448
Problem 370: Geometric triangles
41791929448408
Problem 371: Licence plates
40.66368097
Problem 372: Pencils of rays
301450082318807027
Problem 373: Circumscribed Circles
727227472448913
Problem 374: Maximum Integer Partition Product
334420941
Problem 375: Minimum of subsequences
7435327983715286168
Problem 376: Nontransitive sets of dice
973059630185670
Problem 377: Sum of digits, experience 13
732385277
Problem 378: Triangle Triples
147534623725724718
Problem 379: Least common multiple count
132314136838185
Problem 380: Amazing Mazes!
6.3202e25093
Problem 381: (prime-k) factorial
139602943319822
Problem 382: Generating polygons
697003956
Problem 383: Divisibility comparison between factorials
22173624649806
Problem 384: Rudin-Shapiro sequence
3354706415856332783
Problem 385: Ellipses inside triangles
3776957309612153700
Problem 386: Maximum length of an antichain
528755790
Problem 387: Harshad Numbers
696067597313468
Problem 388: Distinct Lines
831907372805129931
Problem 389: Platonic Dice
2406376.3623
Problem 390: Triangles with non rational sides and integral area
2919133642971
Problem 391: Hopping Game
61029882288
Problem 392: Enmeshed unit circle
3.1486734435
Problem 393: Migrating ants
112398351350823112
Problem 394: Eating pie
3.2370342194
Problem 395: Pythagorean tree
28.2453753155
Problem 396: Weak Goodstein sequence
173214653
Problem 397: Triangle on parabola
141630459461893728
Problem 398: Cutting rope
2010.59096
Problem 399: Squarefree Fibonacci Numbers
1508395636674243,6.5e27330467
Problem 400: Fibonacci tree game
438505383468410633
Problem 401: Sum of squares of divisors
281632621
Problem 402: Integer-valued polynomials
356019862
Problem 403: Lattice points enclosed by parabola and line
18224771
Problem 404: Crisscross Ellipses
1199215615081353
Problem 405: A rectangular tiling
237696125
Problem 406: Guessing Game
36813.12757207
Problem 407: Idempotents
39782849136421
Problem 408: Admissible paths through a grid
299742733
Problem 409: Nim Extreme
253223948
Problem 410: Circle and tangent line
799999783589946560
Problem 411: Uphill paths
9936352
Problem 412: Gnomon numbering
38788800
Problem 413: One-child Numbers
3079418648040719
Problem 414: Kaprekar constant
552506775824935461
Problem 415: Titanic sets
55859742
Problem 416: A frog's trip
898082747
Problem 417: Reciprocal cycles II
446572970925740
Problem 418: Factorisation triples
1177163565297340320
Problem 419: Look and say sequence
998567458,1046245404,43363922
Problem 420: 2x2 positive integer matrix
145159332
Problem 421: Prime factors of
n/a
Problem 422: Sequence of points on a hyperbola
n/a
Problem 423: Consecutive die throws
n/a
Problem 424: Kakuro
1059760019628
Problem 425: Prime connection
46479497324
Problem 426: Box-ball system
n/a
Problem 427: n-sequences
n/a
Problem 428: Necklace of circles
n/a
Problem 429: Sum of squares of unitary divisors
98792821
Problem 430: Range flips
5000624921.38
Problem 431: Square Space Silo
n/a
Problem 432: Totient sum
n/a
Problem 433: Steps in Euclid's algorithm
326624372659664
Problem 434: Rigid graphs
863253606
Problem 435: Polynomials of Fibonacci numbers
252541322550
Problem 436: Unfair wager
0.5276662759
Problem 437: Fibonacci primitive roots
74204709657207
Problem 438: Integer part of polynomial equation's solutions
n/a
- https://code.google.com/p/projecteuler-solutions/wiki/ProjectEulerSolutions
- http://eulersolutions.fr.yuku.com
- http://nayuki.eigenstate.org/page/project-euler-solutions
Fuska inte med lösningar!
Problem 1: Multiples of 3 and 5
233168
Problem 2: Even Fibonacci numbers
4613732
Problem 3: Largest prime factor
6857
Problem 4: Largest palindrome product
906609
Problem 5: Smallest multiple
232792560
Problem 6: Sum square difference
25164150
Problem 7: 10001st prime
104743
Problem 8: Largest product in a series
40824
Problem 9: Special Pythagorean triplet
31875000
Problem 10: Summation of primes
142913828922
Problem 11: Largest product in a grid
70600674
Problem 12: Highly divisible triangular number
76576500
Problem 13: Large sum
5537376230
Problem 14: Longest Collatz sequence
837799
Problem 15: Lattice paths
137846528820
Problem 16: Power digit sum
1366
Problem 17: Number letter counts
21124
Problem 18: Maximum path sum I
1074
Problem 19: Counting Sundays
171
Problem 20: Factorial digit sum
648
Problem 21: Amicable numbers
31626
Problem 22: Names scores
871198282
Problem 23: Non-abundant sums
4179871
Problem 24: Lexicographic permutations
2783915460
Problem 25: 1000-digit Fibonacci number
4782
Problem 26: Reciprocal cycles
983
Problem 27: Quadratic primes
-59231
Problem 28: Number spiral diagonals
669171001
Problem 29: Distinct powers
9183
Problem 30: Digit fifth powers
443839
Problem 31: Coin sums
73682
Problem 32: Pandigital products
45228
Problem 33: Digit canceling fractions
100
Problem 34: Digit factorials
40730
Problem 35: Circular primes
55
Problem 36: Double-base palindromes
872187
Problem 37: Truncatable primes
748317
Problem 38: Pandigital multiples
932718654
Problem 39: Integer right triangles
840
Problem 40: Champernowne's constant
210
Problem 41: Pandigital prime
7652413
Problem 42: Coded triangle numbers
162
Problem 43: Sub-string divisibility
16695334890
Problem 44: Pentagon numbers
5482660
Problem 45: Triangular, pentagonal, and hexagonal
1533776805
Problem 46: Goldbach's other conjecture
5777
Problem 47: Distinct primes factors
134043
Problem 48: Self powers
9110846700
Problem 49: Prime permutations
296962999629
Problem 50: Consecutive prime sum
997651
Problem 51: Prime digit replacements
121313
Problem 52: Permuted multiples
142857
Problem 53: Combinatoric selections
4075
Problem 54: Poker hands
376
Problem 55: Lychrel numbers
249
Problem 56: Powerful digit sum
972
Problem 57: Square root convergents
153
Problem 58: Spiral primes
26241
Problem 59: XOR decryption
107359
Problem 60: Prime pair sets
26033
Problem 61: Cyclical figurate numbers
28684
Problem 62: Cubic permutations
127035954683
Problem 63: Powerful digit counts
49
Problem 64: Odd period square roots
1322
Problem 65: Convergents of e
272
Problem 66: Diophantine equation
661
Problem 67: Maximum path sum II
7273
Problem 68: Magic 5-gon ring
6531031914842725
Problem 69: Totient maximum
510510
Problem 70: Totient permutation
8319823
Problem 71: Ordered fractions
428570
Problem 72: Counting fractions
303963552391
Problem 73: Counting fractions in a range
7295372
Problem 74: Digit factorial chains
402
Problem 75: Singular integer right triangles
161667
Problem 76: Counting summations
190569291
Problem 77: Prime summations
71
Problem 78: Coin partitions
55374
Problem 79: Passcode derivation
73162890
Problem 80: Square root digital expansion
40886
Problem 81: Path sum: two ways
427337
Problem 82: Path sum: three ways
260324
Problem 83: Path sum: four ways
425185
Problem 84: Monopoly odds
101524
Problem 85: Counting rectangles
2772
Problem 86: Cuboid route
1818
Problem 87: Prime power triples
1097343
Problem 88: Product-sum numbers
7587457
Problem 89: Roman numerals
743
Problem 90: Cube digit pairs
1217
Problem 91: Right triangles with integer coordinates
14234
Problem 92: Square digit chains
8581146
Problem 93: Arithmetic expressions
1258
Problem 94: Almost equilateral triangles
518408346
Problem 95: Amicable chains
14316
Problem 96: Su Doku
24702
Problem 97: Large non-Mersenne prime
8739992577
Problem 98: Anagramic squares
18769
Problem 99: Largest exponential
709
Problem 100: Arranged probability
756872327473
Problem 101: Optimum polynomial
37076114526
Problem 102: Triangle containment
228
Problem 103: Special subset sums: optimum
20313839404245
Problem 104: Pandigital Fibonacci ends
329468
Problem 105: Special subset sums: testing
73702
Problem 106: Special subset sums: meta-testing
21384
Problem 107: Minimal network
259679
Problem 108: Diophantine reciprocals I
180180
Problem 109: Darts
38182
Problem 110: Diophantine reciprocals II
9350130049860600
Problem 111: Primes with runs
612407567715
Problem 112: Bouncy numbers
1587000
Problem 113: Non-bouncy numbers
51161058134250
Problem 114: Counting block combinations I
16475640049
Problem 115: Counting block combinations II
168
Problem 116: Red, green or blue tiles
20492570929
Problem 117: Red, green, and blue tiles
100808458960497
Problem 118: Pandigital prime sets
44680
Problem 119: Digit power sum
248155780267521
Problem 120: Square remainders
333082500
Problem 121: Disc game prize fund
2269
Problem 122: Efficient exponentiation
1582
Problem 123: Prime square remainders
21035
Problem 124: Ordered radicals
21417
Problem 125: Palindromic sums
2906969179
Problem 126: Cuboid layers
18522
Problem 127: abc-hits
18407904
Problem 128: Hexagonal tile differences
14516824220
Problem 129: Repunit divisibility
1000023
Problem 130: Composites with prime repunit property
149253
Problem 131: Prime cube partnership
173
Problem 132: Large repunit factors
843296
Problem 133: Repunit nonfactors
453647705
Problem 134: Prime pair connection
18613426663617118
Problem 135: Same differences
4989
Problem 136: Singleton difference
2544559
Problem 137: Fibonacci golden nuggets
1120149658760
Problem 138: Special isosceles triangles
1118049290473932
Problem 139: Pythagorean tiles
10057761
Problem 140: Modified Fibonacci golden nuggets
5673835352990
Problem 141: Investigating progressive numbers,
878454337159
Problem 142: Perfect Square Collection
1006193
Problem 143: Investigating the Torricelli point of a triangle
30758397
Problem 144: Investigating multiple reflections of a laser beam.
354
Problem 145: How many reversible numbers are there below one-billion?
608720
Problem 146: Investigating a Prime Pattern
676333270
Problem 147: Rectangles in cross-hatched grids
846910284
Problem 148: Exploring Pascal's triangle.
2129970655314432
Problem 149: Searching for a maximum-sum subsequence.
52852124
Problem 150: Searching a triangular array for a sub-triangle having minimum-sum.
-271248680
Problem 151: Paper sheets of standard sizes: an expected-value problem.
0.464399
Problem 152: Writing 1/2 as a sum of inverse squares
301
Problem 153: Investigating Gaussian Integers
17971254122360635
Problem 154: Exploring Pascal's pyramid.
479742450
Problem 155: Counting Capacitor Circuits.
3857447
Problem 156: Counting Digits
21295121502550
Problem 157: Solving the diophantine equation
53490
Problem 158: Exploring strings for which only one character comes lexicographically after its neighbour to the left.
409511334375
Problem 159: Digital root sums of factorisations.
14489159
Problem 160: Factorial trailing digits
16576
Problem 161: Triominoes
20574308184277971
Problem 162: Hexadecimal numbers
3D58725572C62302
Problem 163: Cross-hatched triangles
343047
Problem 164: Numbers for which no three consecutive digits have a sum greater than a given value.
378158756814587
Problem 165: Intersections
2868868
Problem 166: Criss Cross
7130034
Problem 167: Investigating Ulam sequences
3916160068885
Problem 168: Number Rotations
59206
Problem 169: Exploring the number of different ways a number can be expressed as a sum of powers of 2.
178653872807
Problem 170: Find the largest 0 to 9 pandigital that can be formed by concatenating products.
9857164023
Problem 171: Finding numbers for which the sum of the squares of the digits is a square.
142989277
Problem 172: Investigating numbers with few repeated digits.
227485267000992000
Problem 173: Using up to one million tiles how many different "hollow" square laminae can be formed?
1572729
Problem 174: Counting the number of "hollow" square laminae that can form one, two, three, ... distinct arrangements.
209566
Problem 175: Fractions involving the number of different ways a number can be expressed as a sum of powers of 2.
1,13717420,8
Problem 176: Right-angled triangles that share a cathetus.
96818198400000
Problem 177: Integer angled Quadrilaterals.
129325
Problem 178: Step Numbers
126461847755
Problem 179: Consecutive positive divisors
986262
Problem 180: Rational zeros of a function of three variables.
285196020571078987
Problem 181: Investigating in how many ways objects of two different colours can be grouped.
83735848679360680
Problem 182: RSA encryption
399788195976
Problem 183: Maximum product of parts
48861552
Problem 184: Triangles containing the origin.
1725323624056
Problem 185: Number Mind
4640261571849533
Problem 186: Connectedness of a network.
2325629
Problem 187: Semiprimes
17427258
Problem 188: The hyperexponentiation of a number
95962097
Problem 189: Tri-colouring a triangular grid
10834893628237824
Problem 190: Maximising a weighted product
371048281
Problem 191: Prize Strings
1918080160
Problem 192: Best Approximations
57060635927998347
Problem 193: Squarefree Numbers
684465067343069
Problem 194: Coloured Configurations
61190912
Problem 195: Inscribed circles of triangles with one angle of 60 degrees
75085391
Problem 196: Prime triplets
322303240771079935
Problem 197: Investigating the behaviour of a recursively defined sequence
1.710637717
Problem 198: Ambiguous Numbers
52374425
Problem 199: Iterative Circle Packing
0.00396087
Problem 200: Find the 200th prime-proof sqube containing the contiguous sub-string "200"
229161792008
Problem 201: Subsets with a unique sum
115039000
Problem 202: Laserbeam
1209002624
Problem 203: Squarefree Binomial Coefficients
34029210557338
Problem 204: Generalised Hamming Numbers
2944730
Problem 205: Dice Game
0.5731441
Problem 206: Concealed Square
1389019170
Problem 207: Integer partition equations
44043947822
Problem 208: Robot Walks
331951449665644800
Problem 209: Circular Logic
15964587728784
Problem 210: Obtuse Angled Triangles
1598174770174689458
Problem 211: Divisor Square Sum
1922364685
Problem 212: Combined Volume of Cuboids
328968937309
Problem 213: Flea Circus
330.721154
Problem 214: Totient Chains
1677366278943
Problem 215: Crack-free Walls
806844323190414
Problem 216: Investigating the primality of numbers of the form 2
5437849
Problem 217: Balanced Numbers
6273134
Problem 218: Perfect right-angled triangles
0
Problem 219: Skew-cost coding
64564225042
Problem 220: Heighway Dragon
139776,963904
Problem 221: Alexandrian Integers
1884161251122450
Problem 222: Sphere Packing
1590933
Problem 223: Almost right-angled triangles I
61614848
Problem 224: Almost right-angled triangles II
4137330
Problem 225: Tribonacci non-divisors
2009
Problem 226: A Scoop of Blancmange
0.11316017
Problem 227: The Chase
3780.618622
Problem 228: Minkowski Sums
86226
Problem 229: Four Representations using Squares
11325263
Problem 230: Fibonacci Words
850481152593119296
Problem 231: The prime factorisation of binomial coefficients
7526965179680
Problem 232: The Race
0.83648556
Problem 233: Lattice points on a circle
271204031455541309
Problem 234: Semidivisible numbers
1259187438574927161
Problem 235: An Arithmetic Geometric sequence
1.002322108633
Problem 236: Luxury Hampers
123/59
Problem 237: Tours on a 4 x n playing board
15836928
Problem 238: Infinite string tour
9922545104535661
Problem 239: Twenty-two Foolish Primes
0.001887854841
Problem 240: Top Dice
7448717393364181966
Problem 241: Perfection Quotients
482316491800641154
Problem 242: Odd Triplets
997104142249036713
Problem 243: Resilience
892371480
Problem 244: Sliders
96356848
Problem 245: Coresilience
288084712410001
Problem 246: Tangents to an ellipse
810834388
Problem 247: Squares under a hyperbola
782252
Problem 248: Numbers for which Euler’s totient function equals 13!
23507044290
Problem 249: Prime Subset Sums
9275262564250418
Problem 250: 250250
1425480602091519
Problem 251: Cardano Triplets
18946051
Problem 252: Convex Holes
104924.0
Problem 253: Tidying up
11.492847
Problem 254: Sums of Digit Factorials
8184523820510
Problem 255: Rounded Square Roots
4.4474011180
Problem 256: Tatami-Free Rooms
85765680
Problem 257: Angular Bisectors
139012411
Problem 258: A lagged Fibonacci sequence
12747994
Problem 259: Reachable Numbers
20101196798
Problem 260: Stone Game
167542057
Problem 261: Pivotal Square Sums
238890850232021
Problem 262: Mountain Range.
2531.205
Problem 263: An engineers' dream come true
2039506520
Problem 264: Triangle Centres
2816417.1055
Problem 265: Binary Circles
209110240768
Problem 266: Pseudo Square Root
1096883702440585
Problem 267: Billionaire
0.999992836187
Problem 268: Counting numbers with at least four distinct prime factors less than 100
785478606870985
Problem 269: Polynomials with at least one integer root
1311109198529286
Problem 270: Cutting Squares
82282080
Problem 271: Modular Cubes, part 1
4617456485273129588
Problem 272: Modular Cubes, part 2
8495585919506151122
Problem 273: Sum of Squares
2032447591196869022
Problem 274: Divisibility Multipliers
1601912348822
Problem 275: Balanced Sculptures
15030564
Problem 276: Primitive Triangles
5777137137739632912
Problem 277: A Modified Collatz sequence
1125977393124310
Problem 278: Linear Combinations of Semiprimes
1228215747273908452
Problem 279: Triangles with integral sides and an integral angle
416577688
Problem 280: Ant and seeds
430.088247
Problem 281: Pizza Toppings
1485776387445623
Problem 282: The Ackermann function
1098988351
Problem 283: Integer sided triangles for which the area/perimeter ratio is integral.
28038042525570324
Problem 284: Steady Squares
5a411d7b
Problem 285: Pythagorean odds
157055.80999
Problem 286: Scoring probabilities
52.6494571953
Problem 287: Quadtree encoding (a simple compression algorithm)
313135496
Problem 288: An enormous factorial
605857431263981935
Problem 289: Eulerian Cycles
6567944538
Problem 290: Digital Signature
20444710234716473
Problem 291: Panaitopol Primes
4037526
Problem 292: Pythagorean Polygons
3600060866
Problem 293: Pseudo-Fortunate Numbers
2209
Problem 294: Sum of digits - experience #23
789184709
Problem 295: Lenticular holes
4884650818
Problem 296: Angular Bisector and Tangent
1137208419
Problem 297: Zeckendorf Representation
2252639041804718029
Problem 298: Selective Amnesia
1.76882294
Problem 299: Three similar triangles
549936643
Problem 300: Protein folding
8.0540771484375
Problem 301: Nim
2178309
Problem 302: Strong Achilles Numbers
1170060
Problem 303: Multiples with small digits
1111981904675169
Problem 304: Primonacci
283988410192
Problem 305: Reflexive Position
18174995535140
Problem 306: Paper-strip Game
852938
Problem 307: Chip Defects
0.7311720251
Problem 308: An amazing Prime-generating Automaton
1539669807660924
Problem 309: Integer Ladders
210139
Problem 310: Nim Square
2586528661783
Problem 311: Biclinic Integral Quadrilaterals
2466018557
Problem 312: Cyclic paths on Sierpiński graphs
324681947
Problem 313: Sliding game
2057774861813004
Problem 314: The Mouse on the Moon
132.52756426
Problem 315: Digital root clocks
13625242
Problem 316: Numbers in decimal expansions
542934735751917735
Problem 317: Firecracker
1856532.8455
Problem 318: 2011 nines
709313889
Problem 319: Bounded Sequences
268457129
Problem 320: Factorials divisible by a huge integer
278157919195482643
Problem 321: Swapping Counters
2470433131948040
Problem 322: Binomial coefficients divisible by 10
999998760323313995
Problem 323: Bitwise-OR operations on random integers
6.3551758451
Problem 324: Building a tower
96972774
Problem 325: Stone Game II
54672965
Problem 326: Modulo Summations
1966666166408794329
Problem 327: Rooms of Doom
34315549139516
Problem 328: Lowest-cost Search
260511850222
Problem 329: Prime Frog
199740353/29386561536000
Problem 330: Euler's Number
15955822
Problem 331: Cross flips
467178235146843549
Problem 332: Spherical triangles
2717.751525
Problem 333: Special partitions
3053105
Problem 334: Spilling the beans
150320021261690835
Problem 335: Gathering the beans
5032316
Problem 336: Maximix Arrangements
CAGBIHEFJDK
Problem 337: Totient Stairstep Sequences
85068035
Problem 338: Cutting Rectangular Grid Paper
15614292
Problem 339: Peredur fab Efrawg
19823.542204
Problem 340: Crazy Function
291504964
Problem 341: Golomb's self-describing sequence
56098610614277014
Problem 342: The totient of a square is a cube
5943040885644
Problem 343: Fractional Sequences
269533451410884183
Problem 344: Silver dollar game
65579304332
Problem 345: Matrix Sum
13938
Problem 346: Strong Repunits
336108797689259276
Problem 347: Largest integer divisible by two primes
11109800204052
Problem 348: Sum of a square and a cube
1004195061
Problem 349: Langton's ant
115384615384614952
Problem 350: Constraining the least greatest and the greatest least
84664213
Problem 351: Hexagonal orchards
11762187201804552
Problem 352: Blood tests
378563.260589
Problem 353: Risky moon
1.2759860331
Problem 354: Distances in a bee's honeycomb
58065134
Problem 355: Maximal coprime subset
1726545007
Problem 356: Largest roots of cubic polynomials
28010159
Problem 357: Prime generating integers
1739023853137
Problem 358: Cyclic numbers
3284144505
Problem 359: Hilbert's New Hotel
40632119
Problem 360: Scary Sphere
878825614395267072
Problem 361: Subsequence of Thue-Morse sequence
178476944
Problem 362: Squarefree factors
457895958010
Problem 363: Bézier Curves
0.0000372091
Problem 364: Comfortable distance
44855254
Problem 365: A huge binomial coefficient
162619462356610313
Problem 366: Stone Game III
88351299
Problem 367: bozo sort
48271207
Problem 368: A Kempner-like series
253.6135092068
Problem 369: Badugi
862400558448
Problem 370: Geometric triangles
41791929448408
Problem 371: Licence plates
40.66368097
Problem 372: Pencils of rays
301450082318807027
Problem 373: Circumscribed Circles
727227472448913
Problem 374: Maximum Integer Partition Product
334420941
Problem 375: Minimum of subsequences
7435327983715286168
Problem 376: Nontransitive sets of dice
973059630185670
Problem 377: Sum of digits, experience 13
732385277
Problem 378: Triangle Triples
147534623725724718
Problem 379: Least common multiple count
132314136838185
Problem 380: Amazing Mazes!
6.3202e25093
Problem 381: (prime-k) factorial
139602943319822
Problem 382: Generating polygons
697003956
Problem 383: Divisibility comparison between factorials
22173624649806
Problem 384: Rudin-Shapiro sequence
3354706415856332783
Problem 385: Ellipses inside triangles
3776957309612153700
Problem 386: Maximum length of an antichain
528755790
Problem 387: Harshad Numbers
696067597313468
Problem 388: Distinct Lines
831907372805129931
Problem 389: Platonic Dice
2406376.3623
Problem 390: Triangles with non rational sides and integral area
2919133642971
Problem 391: Hopping Game
61029882288
Problem 392: Enmeshed unit circle
3.1486734435
Problem 393: Migrating ants
112398351350823112
Problem 394: Eating pie
3.2370342194
Problem 395: Pythagorean tree
28.2453753155
Problem 396: Weak Goodstein sequence
173214653
Problem 397: Triangle on parabola
141630459461893728
Problem 398: Cutting rope
2010.59096
Problem 399: Squarefree Fibonacci Numbers
1508395636674243,6.5e27330467
Problem 400: Fibonacci tree game
438505383468410633
Problem 401: Sum of squares of divisors
281632621
Problem 402: Integer-valued polynomials
356019862
Problem 403: Lattice points enclosed by parabola and line
18224771
Problem 404: Crisscross Ellipses
1199215615081353
Problem 405: A rectangular tiling
237696125
Problem 406: Guessing Game
36813.12757207
Problem 407: Idempotents
39782849136421
Problem 408: Admissible paths through a grid
299742733
Problem 409: Nim Extreme
253223948
Problem 410: Circle and tangent line
799999783589946560
Problem 411: Uphill paths
9936352
Problem 412: Gnomon numbering
38788800
Problem 413: One-child Numbers
3079418648040719
Problem 414: Kaprekar constant
552506775824935461
Problem 415: Titanic sets
55859742
Problem 416: A frog's trip
898082747
Problem 417: Reciprocal cycles II
446572970925740
Problem 418: Factorisation triples
1177163565297340320
Problem 419: Look and say sequence
998567458,1046245404,43363922
Problem 420: 2x2 positive integer matrix
145159332
Problem 421: Prime factors of
n/a
Problem 422: Sequence of points on a hyperbola
n/a
Problem 423: Consecutive die throws
n/a
Problem 424: Kakuro
1059760019628
Problem 425: Prime connection
46479497324
Problem 426: Box-ball system
n/a
Problem 427: n-sequences
n/a
Problem 428: Necklace of circles
n/a
Problem 429: Sum of squares of unitary divisors
98792821
Problem 430: Range flips
5000624921.38
Problem 431: Square Space Silo
n/a
Problem 432: Totient sum
n/a
Problem 433: Steps in Euclid's algorithm
326624372659664
Problem 434: Rigid graphs
863253606
Problem 435: Polynomials of Fibonacci numbers
252541322550
Problem 436: Unfair wager
0.5276662759
Problem 437: Fibonacci primitive roots
74204709657207
Problem 438: Integer part of polynomial equation's solutions
n/a