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| # 1-70 are HA | |
| [71, 78];{2: 2, 3: 1, 5: 1, 79: 1};{67: 1, 71: 1} | |
| [79, 80];{2: 5, 3: 1, 5: 1, 11: 1};{67: 1, 79: 1} | |
| # 81-96 are HA | |
| [97, 120];{2: 2, 3: 1, 5: 1, 11: 1, 13: 1};{89: 1, 97: 1} | |
| [113, 124];{2: 1, 5: 1, 7: 1, 163: 1};{101: 1, 113: 1} | |
| # 125-148 are HA | |
| [149, 156];{2: 1, 5: 1, 13: 1, 157: 1};{137: 1, 149: 1} | |
| [151, 168];{2: 1, 5: 1, 13: 1, 173: 1};{149: 1, 151: 1} | |
| # 169-172 are HA |
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| # format is a closed interval solved by that line; the prime powers to add; and the prime powers to remove. | |
| # the first 64 entries report a maximal range, but the further entries may not. There is a good chance this list could be narrowed down | |
| # significantly by determining what intervals the later entries actually cover. | |
| [173,242];{2: 2, 3: 1, 7: 1, 17: 1, 19: 1};{157: 1, 173: 1} | |
| [227,255];{2: 1, 5: 1, 17: 1, 263: 1};{197: 1, 227: 1} | |
| [256,256];{3: 2, 5: 1, 7: 1, 17: 1, 19: 1, 257: 1};{2: 1, 227: 1, 239: 1, 241: 1} | |
| [257,306];{2: 1, 3: 1, 5: 1, 7: 1, 307: 1};{251: 1, 257: 1} | |
| [277,330];{2: 1, 3: 1, 5: 1, 7: 1, 331: 1};{251: 1, 277: 1} | |
| [313,360];{2: 1, 5: 1, 19: 1, 397: 1};{241: 1, 313: 1} | |
| [359,382];{2: 2, 3: 1, 23: 1, 383: 1, 397: 1};{337: 1, 347: 1, 359: 1} |
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| [200000, 201600], p:(449, 457, 461), q:(199999, 199967, 199961) | |
| [201600, 208848], p:(457, 461, 463), q:(201599, 201589, 201581) | |
| [208844, 212520], p:(461, 463, 467), q:(208843, 208837, 208807) | |
| [212508, 214368], p:(463, 467, 479), q:(212507, 212501, 212479) | |
| [214364, 218088], p:(467, 479, 487), q:(214363, 214351, 214309) | |
| [218088, 229440], p:(479, 487, 491), q:(218087, 218083, 218081) | |
| [229434, 237168], p:(487, 491, 499), q:(229433, 229423, 229409) | |
| [237164, 241080], p:(491, 499, 503), q:(237163, 237161, 237157) | |
| [241080, 249000], p:(499, 503, 509), q:(241079, 241069, 241067) | |
| [248988, 253008], p:(503, 509, 521), q:(248987, 248981, 248971) |
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| 29789 | |
| 29791 | |
| 29803 | |
| 29819 | |
| 29833 | |
| 29837 | |
| 29851 | |
| 29863 | |
| 29867 | |
| 29873 |
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| 3229381 | |
| 3254791 | |
| 3270961 | |
| 3291751 | |
| 3305611 | |
| 3324091 | |
| 3349501 | |
| 3377221 | |
| 3395701 | |
| 3414181 |
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| import math | |
| import mpmath | |
| from fractions import Fraction | |
| from sympy import lcm, divisor_sigma, isprime | |
| mpmath.mp.dps = 100 | |
| N = 67 # N = 71 can be refuted with a numerator of 2007 and denominator of 2000 | |
| SCORE_NUMERATOR = 251 # original fraction had this 2009, but this works better |
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| # lcg constants. Replace A and B to change indices of targeted call. | |
| import time | |
| A = 25214903917 | |
| B = 11 | |
| M = 1 << 48 | |
| mask = M - 1 | |
| # Can mess with this | |
| argument_to_next_int = 25 # must not be a perfect power of 2 |
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| import itertools | |
| import random | |
| import time | |
| A = 0x5deece66d | |
| B = 11 | |
| LCG_MOD_POW = 48 | |
| M = 2**LCG_MOD_POW | |
| BIG_MASK = M - 1 |
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| import random | |
| import itertools as iter | |
| KING_SQUARE = (0, 0) | |
| KING_THREATENS = {(-1, -1), (-1, 0), (-1, 1), | |
| (0, 1), (0, -1), | |
| (1, -1), (1, 0), (1, 1)} | |
| MATING_SQUARES = {(-1, -1), (-1, 0), (-1, 1), | |
| (0, 1), (0, 0), (0, -1), | |
| (1, -1), (1, 0), (1, 1)} |
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| import math | |
| import sympy | |
| import sympy as sp | |
| import random | |
| class LCG: | |
| def __init__(self, a, b, m): | |
| self.a = a % m |
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