108 lines
24 KiB
PHP
108 lines
24 KiB
PHP
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<?php
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return
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[
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[ 'number' => 1, 'date' => '2014-09-11', 'title' => 'Multiples of 3 and 5', 'abbreviated' => false, 'steps' => 47624, 'time' => 62, 'width' => 30, 'height' => 5, 'value' => 233168 ],
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[ 'number' => 2, 'date' => '2014-09-11', 'title' => 'Even Fibonacci numbers', 'abbreviated' => false, 'steps' => 1669, 'time' => 62, 'width' => 26, 'height' => 5, 'value' => 4613732 ],
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[ 'number' => 3, 'date' => '2014-09-11', 'title' => 'Largest prime factor', 'abbreviated' => false, 'steps' => 31579516, 'time' => 9547, 'width' => 55, 'height' => 4, 'value' => 6857 ],
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[ 'number' => 4, 'date' => '2014-09-11', 'title' => 'Largest palindrome product', 'abbreviated' => false, 'steps' => 230611114, 'time' => 77813, 'width' => 71, 'height' => 6, 'value' => 906609 ],
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[ 'number' => 5, 'date' => '2014-09-11', 'title' => 'Smallest multiple', 'abbreviated' => false, 'steps' => 50166, 'time' => 47, 'width' => 73, 'height' => 6, 'value' => 232792560 ],
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[ 'number' => 6, 'date' => '2014-09-11', 'title' => 'Sum square difference', 'abbreviated' => false, 'steps' => 18897151, 'time' => 7347, 'width' => 72, 'height' => 16, 'value' => 25164150 ],
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[ 'number' => 7, 'date' => '2014-09-11', 'title' => '10001st prime', 'abbreviated' => true, 'steps' => 21915385, 'time' => 7628, 'width' => 1000, 'height' => 156, 'value' => 104743 ],
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[ 'number' => 8, 'date' => '2014-09-11', 'title' => 'Largest product in a series', 'abbreviated' => false, 'steps' => 614295, 'time' => 234, 'width' => 116, 'height' => 29, 'value' => 23514624000 ],
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[ 'number' => 9, 'date' => '2014-09-11', 'title' => 'Special Pythagorean triplet', 'abbreviated' => false, 'steps' => 1397212134, 'time' => 394277, 'width' => 79, 'height' => 7, 'value' => 31875000 ],
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[ 'number' => 10, 'date' => '2014-09-11', 'title' => 'Summation of primes', 'abbreviated' => true, 'steps' => 416776174, 'time' => 67127, 'width' => 2000, 'height' => 1007, 'value' => 142913828922 ],
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[ 'number' => 11, 'date' => '2014-09-11', 'title' => 'Largest product in a grid', 'abbreviated' => false, 'steps' => 323945, 'time' => 78, 'width' => 151, 'height' => 31, 'value' => 70600674 ],
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[ 'number' => 12, 'date' => '2014-09-11', 'title' => 'Highly divisible triangular number', 'abbreviated' => true, 'steps' => 38855123, 'time' => 7566, 'width' => 1000, 'height' => 170, 'value' => 76576500 ],
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[ 'number' => 13, 'date' => '2014-09-11', 'title' => 'Large sum', 'abbreviated' => true, 'steps' => 244792, 'time' => 78, 'width' => 59, 'height' => 113, 'value' => 5537376230 ],
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[ 'number' => 14, 'date' => '2014-09-11', 'title' => 'Longest Collatz sequence', 'abbreviated' => false, 'steps' => 3877209672, 'time' => 717713, 'width' => 51, 'height' => 5, 'value' => 837799 ],
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[ 'number' => 15, 'date' => '2014-09-11', 'title' => 'Lattice paths', 'abbreviated' => false, 'steps' => 61202, 'time' => 47, 'width' => 78, 'height' => 27, 'value' => 137846528820 ],
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[ 'number' => 16, 'date' => '2014-09-11', 'title' => 'Power digit sum', 'abbreviated' => false, 'steps' => 27332672, 'time' => 4228, 'width' => 60, 'height' => 14, 'value' => 1366 ],
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[ 'number' => 17, 'date' => '2014-09-12', 'title' => 'Number letter counts', 'abbreviated' => false, 'steps' => 179076, 'time' => 47, 'width' => 48, 'height' => 15, 'value' => 21124 ],
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[ 'number' => 18, 'date' => '2014-09-13', 'title' => 'Maximum path sum I', 'abbreviated' => false, 'steps' => 15048, 'time' => 16, 'width' => 120, 'height' => 16, 'value' => 1074 ],
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[ 'number' => 19, 'date' => '2014-09-14', 'title' => 'Counting Sundays', 'abbreviated' => false, 'steps' => 3197878, 'time' => 546, 'width' => 72, 'height' => 12, 'value' => 171 ],
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[ 'number' => 20, 'date' => '2014-09-14', 'title' => 'Factorial digit sum', 'abbreviated' => false, 'steps' => 1546679, 'time' => 265, 'width' => 101, 'height' => 6, 'value' => 648 ],
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[ 'number' => 21, 'date' => '2014-09-15', 'title' => 'Amicable numbers', 'abbreviated' => true, 'steps' => 601124986, 'time' => 102399, 'width' => 400, 'height' => 33, 'value' => 31626 ],
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[ 'number' => 22, 'date' => '2014-09-16', 'title' => 'Names scores', 'abbreviated' => true, 'steps' => 4703607994, 'time' => 961793, 'width' => 109, 'height' => 5164, 'value' => 871198282 ],
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[ 'number' => 23, 'date' => '2014-09-16', 'title' => 'Non-abundant sums', 'abbreviated' => true, 'steps' => 10667174483, 'time' => 1967688, 'width' => 400, 'height' => 88, 'value' => 4179871 ],
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[ 'number' => 24, 'date' => '2014-09-16', 'title' => 'Lexicographic permutations', 'abbreviated' => false, 'steps' => 3499, 'time' => 31, 'width' => 61, 'height' => 8, 'value' => 2783915460 ],
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[ 'number' => 25, 'date' => '2014-09-17', 'title' => '1000-digit Fibonacci number', 'abbreviated' => false, 'steps' => 745055403, 'time' => 116938, 'width' => 123, 'height' => 28, 'value' => 4782 ],
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[ 'number' => 26, 'date' => '2014-09-17', 'title' => 'Reciprocal cycles', 'abbreviated' => false, 'steps' => 21266126, 'time' => 4477, 'width' => 100, 'height' => 16, 'value' => 983 ],
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[ 'number' => 27, 'date' => '2014-09-21', 'title' => 'Quadratic primes', 'abbreviated' => true, 'steps' => 37842282, 'time' => 6240, 'width' => 600, 'height' => 162, 'value' => -59231 ],
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[ 'number' => 28, 'date' => '2014-09-18', 'title' => 'Number spiral diagonals', 'abbreviated' => false, 'steps' => 28514, 'time' => 15, 'width' => 54, 'height' => 2, 'value' => 669171001 ],
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[ 'number' => 29, 'date' => '2014-09-20', 'title' => 'Distinct powers', 'abbreviated' => true, 'steps' => 6439429168, 'time' => 1423681, 'width' => 248, 'height' => 59, 'value' => 9183 ],
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[ 'number' => 30, 'date' => '2014-09-18', 'title' => 'Digit fifth powers', 'abbreviated' => false, 'steps' => 51019199, 'time' => 7332, 'width' => 59, 'height' => 8, 'value' => 443839 ],
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[ 'number' => 31, 'date' => '2014-09-18', 'title' => 'Coin sums', 'abbreviated' => false, 'steps' => 310409597, 'time' => 47970, 'width' => 60, 'height' => 11, 'value' => 73682 ],
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[ 'number' => 32, 'date' => '2014-09-22', 'title' => 'Pandigital products', 'abbreviated' => false, 'steps' => 42123428, 'time' => 7191, 'width' => 166, 'height' => 21, 'value' => 45228 ],
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[ 'number' => 33, 'date' => '2014-09-22', 'title' => 'Digit canceling fractions', 'abbreviated' => false, 'steps' => 661502, 'time' => 109, 'width' => 67, 'height' => 18, 'value' => 100 ],
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[ 'number' => 34, 'date' => '2014-09-23', 'title' => 'Digit factorials', 'abbreviated' => false, 'steps' => 493980359, 'time' => 80933, 'width' => 45, 'height' => 7, 'value' => 40730 ],
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[ 'number' => 35, 'date' => '2014-09-23', 'title' => 'Circular primes', 'abbreviated' => true, 'steps' => 176748467, 'time' => 27565, 'width' => 2000, 'height' => 516, 'value' => 55 ],
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[ 'number' => 36, 'date' => '2014-09-23', 'title' => 'Double-base palindromes', 'abbreviated' => false, 'steps' => 969574, 'time' => 172, 'width' => 78, 'height' => 8, 'value' => 872187 ],
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[ 'number' => 37, 'date' => '2014-09-24', 'title' => 'Truncatable primes', 'abbreviated' => true, 'steps' => 128154558, 'time' => 20717, 'width' => 2000, 'height' => 514, 'value' => 748317 ],
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[ 'number' => 38, 'date' => '2014-09-24', 'title' => 'Pandigital multiples', 'abbreviated' => false, 'steps' => 3567967, 'time' => 624, 'width' => 169, 'height' => 6, 'value' => 932718654 ],
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[ 'number' => 39, 'date' => '2014-09-24', 'title' => 'Integer right triangles', 'abbreviated' => false, 'steps' => 3815878, 'time' => 827, 'width' => 72, 'height' => 6, 'value' => 840 ],
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[ 'number' => 40, 'date' => '2014-09-24', 'title' => 'Champernowne\'s constant', 'abbreviated' => false, 'steps' => 1486, 'time' => 16, 'width' => 69, 'height' => 7, 'value' => 210 ],
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[ 'number' => 41, 'date' => '2014-10-12', 'title' => 'Pandigital prime', 'abbreviated' => false, 'steps' => 83726, 'time' => 31, 'width' => 40, 'height' => 17, 'value' => 7652413 ],
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[ 'number' => 42, 'date' => '2014-10-12', 'title' => 'Coded triangle numbers', 'abbreviated' => true, 'steps' => 526637, 'time' => 406, 'width' => 112, 'height' => 1788, 'value' => 162 ],
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[ 'number' => 43, 'date' => '2014-10-14', 'title' => 'Sub-string divisibility', 'abbreviated' => false, 'steps' => 821317, 'time' => 140, 'width' => 68, 'height' => 23, 'value' => 16695334890 ],
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[ 'number' => 44, 'date' => '2014-12-10', 'title' => 'Pentagon numbers', 'abbreviated' => false, 'steps' => 1509045439, 'time' => 258993, 'width' => 60, 'height' => 11, 'value' => 5482660 ],
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[ 'number' => 45, 'date' => '2014-12-11', 'title' => 'Triangular, pentagonal, and hexagonal', 'abbreviated' => false, 'steps' => 25312679, 'time' => 3494, 'width' => 48, 'height' => 6, 'value' => 1533776805 ],
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[ 'number' => 46, 'date' => '2014-12-11', 'title' => 'Goldbach\'s other conjecture', 'abbreviated' => true, 'steps' => 77542913, 'time' => 13899, 'width' => 200, 'height' => 57, 'value' => 5777 ],
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[ 'number' => 47, 'date' => '2015-01-08', 'title' => 'Distinct primes factors', 'abbreviated' => true, 'steps' => 3227917351, 'time' => 537798, 'width' => 400, 'height' => 518, 'value' => 134043 ],
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[ 'number' => 48, 'date' => '2014-12-12', 'title' => 'Self powers', 'abbreviated' => false, 'steps' => 11530541, 'time' => 3728, 'width' => 37, 'height' => 3, 'value' => 9110846700 ],
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[ 'number' => 49, 'date' => '2015-01-09', 'title' => 'Prime permutations', 'abbreviated' => false, 'steps' => 378809, 'time' => 124, 'width' => 66, 'height' => 8, 'value' => 296962999629 ],
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[ 'number' => 50, 'date' => '2015-01-14', 'title' => 'Consecutive prime sum', 'abbreviated' => true, 'steps' => 180368553, 'time' => 30904, 'width' => 2000, 'height' => 512, 'value' => 997651 ],
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[ 'number' => 51, 'date' => '2015-01-17', 'title' => 'Prime digit replacements', 'abbreviated' => false, 'steps' => 802550671, 'time' => 113896, 'width' => 78, 'height' => 20, 'value' => 121313 ],
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[ 'number' => 52, 'date' => '2015-01-17', 'title' => 'Permuted multiples', 'abbreviated' => false, 'steps' => 18887060, 'time' => 2917, 'width' => 45, 'height' => 6, 'value' => 142857 ],
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[ 'number' => 53, 'date' => '2015-01-22', 'title' => 'Combinatoric selections', 'abbreviated' => false, 'steps' => 372790, 'time' => 125, 'width' => 80, 'height' => 7, 'value' => 4075 ],
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[ 'number' => 54, 'date' => '2015-01-28', 'title' => 'Poker hands', 'abbreviated' => true, 'steps' => 5949695, 'time' => 2543, 'width' => 118, 'height' => 1009, 'value' => 376 ],
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[ 'number' => 55, 'date' => '2015-04-28', 'title' => 'Lychrel numbers', 'abbreviated' => false, 'steps' => 10470329, 'time' => 2215, 'width' => 56, 'height' => 5, 'value' => 249 ],
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[ 'number' => 56, 'date' => '2015-04-29', 'title' => 'Powerful digit sum', 'abbreviated' => false, 'steps' => 62461749, 'time' => 13915, 'width' => 75, 'height' => 11, 'value' => 972 ],
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[ 'number' => 57, 'date' => '2015-05-07', 'title' => 'Square root convergents', 'abbreviated' => false, 'steps' => 87464066, 'time' => 15023, 'width' => 80, 'height' => 54, 'value' => 153 ],
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[ 'number' => 58, 'date' => '2015-05-13', 'title' => 'Spiral primes', 'abbreviated' => false, 'steps' => 78283096, 'time' => 12199, 'width' => 50, 'height' => 17, 'value' => 26241 ],
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[ 'number' => 59, 'date' => '2015-05-17', 'title' => 'XOR decryption', 'abbreviated' => true, 'steps' => 37085853, 'time' => 6302, 'width' => 273, 'height' => 128, 'value' => 107359 ],
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[ 'number' => 60, 'date' => '2015-06-06', 'title' => 'Prime pair sets', 'abbreviated' => true, 'steps' => 8609996835, 'time' => 2032350, 'width' => 3323, 'height' => 3360, 'value' => 26033 ],
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[ 'number' => 61, 'date' => '2015-07-04', 'title' => 'Cyclical figurate numbers', 'abbreviated' => false, 'steps' => 50105245, 'time' => 14414, 'width' => 80, 'height' => 25, 'value' => 28684 ],
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[ 'number' => 62, 'date' => '2015-07-07', 'title' => 'Cubic permutations', 'abbreviated' => true, 'steps' => 952323293, 'time' => 363264, 'width' => 505, 'height' => 58, 'value' => 127035954683 ],
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[ 'number' => 63, 'date' => '2015-07-08', 'title' => 'Powerful digit counts', 'abbreviated' => false, 'steps' => 8880369, 'time' => 2762, 'width' => 80, 'height' => 10, 'value' => 49 ],
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[ 'number' => 64, 'date' => '2015-07-03', 'title' => 'Odd period square roots', 'abbreviated' => false, 'steps' => 24936143, 'time' => 5804, 'width' => 51, 'height' => 9, 'value' => 1322 ],
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[ 'number' => 65, 'date' => '2015-07-08', 'title' => 'Convergents of e', 'abbreviated' => false, 'steps' => 477489, 'time' => 124, 'width' => 80, 'height' => 14, 'value' => 272 ],
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[ 'number' => 66, 'date' => '2015-07-14', 'title' => 'Diophantine equation', 'abbreviated' => false, 'steps' => 262481767, 'time' => 55831, 'width' => 80, 'height' => 25, 'value' => 661 ],
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[ 'number' => 67, 'date' => '2014-09-13', 'title' => 'Maximum path sum II', 'abbreviated' => true, 'steps' => 650537, 'time' => 266, 'width' => 299, 'height' => 101, 'value' => 7273 ],
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[ 'number' => 68, 'date' => '2015-07-16', 'title' => 'Magic 5-gon ring', 'abbreviated' => false, 'steps' => 304112, 'time' => 78, 'width' => 39, 'height' => 25, 'value' => 6531031914842725 ],
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[ 'number' => 69, 'date' => '2015-07-20', 'title' => 'Totient maximum', 'abbreviated' => false, 'steps' => 35542, 'time' => 16, 'width' => 80, 'height' => 10, 'value' => 510510 ],
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[ 'number' => 70, 'date' => '2015-08-18', 'title' => 'Totient permutation', 'abbreviated' => false, 'steps' => 29380799, 'time' => 3713, 'width' => 150, 'height' => 47, 'value' => 8319823 ],
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[ 'number' => 71, 'date' => '2015-08-19', 'title' => 'Ordered fractions', 'abbreviated' => false, 'steps' => 77428679, 'time' => 11981, 'width' => 73, 'height' => 8, 'value' => 428570 ],
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[ 'number' => 72, 'date' => '2015-08-21', 'title' => 'Counting fractions', 'abbreviated' => true, 'steps' => 339636085, 'time' => 50606, 'width' => 486, 'height' => 1047, 'value' => 303963552391 ],
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[ 'number' => 73, 'date' => '2015-08-21', 'title' => 'Counting fractions in a range', 'abbreviated' => true, 'steps' => 1281174401, 'time' => 202458, 'width' => 2000, 'height' => 12010, 'value' => 7295372 ],
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[ 'number' => 74, 'date' => '2015-08-25', 'title' => 'Digit factorial chains', 'abbreviated' => true, 'steps' => 376912541, 'time' => 49187, 'width' => 1224, 'height' => 833, 'value' => 402 ],
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[ 'number' => 75, 'date' => '2015-08-26', 'title' => 'Singular integer right triangles', 'abbreviated' => true, 'steps' => 293080647, 'time' => 39951, 'width' => 1000, 'height' => 1515, 'value' => 161667 ],
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[ 'number' => 76, 'date' => '2015-08-26', 'title' => 'Counting summations', 'abbreviated' => false, 'steps' => 296178, 'time' => 32, 'width' => 104, 'height' => 108, 'value' => 190569291 ],
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[ 'number' => 77, 'date' => '2015-08-28', 'title' => 'Prime summations', 'abbreviated' => false, 'steps' => 312139, 'time' => 47, 'width' => 101, 'height' => 39, 'value' => 71 ],
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[ 'number' => 78, 'date' => '2015-09-08', 'title' => 'Coin partitions', 'abbreviated' => true, 'steps' => 1191633332, 'time' => 170946, 'width' => 251, 'height' => 256, 'value' => 55374 ],
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[ 'number' => 79, 'date' => '2015-09-09', 'title' => 'Passcode derivation', 'abbreviated' => false, 'steps' => 12040, 'time' => 0, 'width' => 56, 'height' => 21, 'value' => 73162890 ],
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[ 'number' => 80, 'date' => '2015-09-11', 'title' => 'Square root digital expansion', 'abbreviated' => false, 'steps' => 540417723, 'time' => 116439, 'width' => 69, 'height' => 18, 'value' => 40886 ],
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[ 'number' => 81, 'date' => '2015-09-12', 'title' => 'Path sum: two ways', 'abbreviated' => true, 'steps' => 1697244, 'time' => 234, 'width' => 500, 'height' => 180, 'value' => 427337 ],
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[ 'number' => 82, 'date' => '2015-09-12', 'title' => 'Path sum: three ways', 'abbreviated' => true, 'steps' => 13777233, 'time' => 2106, 'width' => 500, 'height' => 180, 'value' => 260324 ],
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[ 'number' => 83, 'date' => '2015-09-12', 'title' => 'Path sum: four ways', 'abbreviated' => true, 'steps' => 11718762, 'time' => 1748, 'width' => 500, 'height' => 180, 'value' => 425185 ],
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[ 'number' => 84, 'date' => '2015-09-16', 'title' => 'Monopoly odds', 'abbreviated' => false, 'steps' => 146519794, 'time' => 19203, 'width' => 77, 'height' => 20, 'value' => 101524 ],
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[ 'number' => 85, 'date' => '2015-10-03', 'title' => 'Counting rectangles', 'abbreviated' => false, 'steps' => 880151, 'time' => 109, 'width' => 35, 'height' => 8, 'value' => 2772 ],
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[ 'number' => 86, 'date' => '2015-10-30', 'title' => 'Cuboid route', 'abbreviated' => false, 'steps' => 599659030, 'time' => 91822, 'width' => 66, 'height' => 10, 'value' => 1818 ],
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[ 'number' => 87, 'date' => '2015-10-30', 'title' => 'Prime power triples', 'abbreviated' => true, 'steps' => 181436097, 'time' => 27067, 'width' => 1000, 'height' => 1018, 'value' => 1097343 ],
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[ 'number' => 88, 'date' => '2015-12-18', 'title' => 'Product-sum numbers', 'abbreviated' => true, 'steps' => 141097978, 'time' => 23852, 'width' => 1024, 'height' => 50, 'value' => 7587457 ],
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[ 'number' => 89, 'date' => '2015-12-25', 'title' => 'Roman numerals', 'abbreviated' => true, 'steps' => 569231, 'time' => 78, 'width' => 73, 'height' => 1009, 'value' => 743 ],
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[ 'number' => 90, 'date' => '2016-05-21', 'title' => 'Cube digit pairs', 'abbreviated' => false, 'steps' => 335326352, 'time' => 54366, 'width' => 80, 'height' => 45, 'value' => 1217 ],
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[ 'number' => 91, 'date' => '2016-05-26', 'title' => 'Right triangles with integer coordinates', 'abbreviated' => false, 'steps' => 3072923, 'time' => 343, 'width' => 36, 'height' => 5, 'value' => 14234 ],
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[ 'number' => 92, 'date' => '2016-08-25', 'title' => 'Square digit chains', 'abbreviated' => false, 'steps' => 2959813630, 'time' => 379925, 'width' => 80, 'height' => 16, 'value' => 8581146 ],
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[ 'number' => 93, 'date' => '2016-08-26', 'title' => 'Arithmetic expressions', 'abbreviated' => false, 'steps' => 305514916, 'time' => 42167, 'width' => 111, 'height' => 211, 'value' => 1258 ],
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[ 'number' => 94, 'date' => '2016-09-01', 'title' => 'Almost equilateral triangles', 'abbreviated' => false, 'steps' => 2009, 'time' => 0, 'width' => 40, 'height' => 5, 'value' => 518408346 ],
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[ 'number' => 95, 'date' => '2016-09-18', 'title' => 'Amicable chains', 'abbreviated' => true, 'steps' => 1053466251, 'time' => 242737, 'width' => 2017, 'height' => 1035, 'value' => 14316 ],
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[ 'number' => 96, 'date' => '2016-10-25', 'title' => 'Su Doku', 'abbreviated' => false, 'steps' => 583893708, 'time' => 90918, 'width' => 218, 'height' => 50, 'value' => 24702 ],
|
||
|
|
[ 'number' => 97, 'date' => '2016-10-28', 'title' => 'Large non-Mersenne prime', 'abbreviated' => false, 'steps' => 164439636, 'time' => 21091, 'width' => 13, 'height' => 5, 'value' => 8739992577 ],
|
||
|
|
[ 'number' => 98, 'date' => '2016-12-11', 'title' => 'Anagramic squares', 'abbreviated' => true, 'steps' => 145592567, 'time' => 22714, 'width' => 258, 'height' => 199, 'value' => 18769 ],
|
||
|
|
[ 'number' => 99, 'date' => '2017-01-13', 'title' => 'Largest exponential', 'abbreviated' => true, 'steps' => 5072021, 'time' => 1107, 'width' => 63, 'height' => 1000, 'value' => 709 ],
|
||
|
|
[ 'number' => 100, 'date' => '2017-05-03', 'title' => 'Arranged probability', 'abbreviated' => false, 'steps' => 1649, 'time' => 0, 'width' => 56, 'height' => 3, 'value' => 756872327473 ],
|
||
|
|
[ 'number' => 101, 'date' => '2017-11-19', 'title' => 'Optimum polynomial', 'abbreviated' => false, 'steps' => 1825656, 'time' => 250, 'width' => 83, 'height' => 37, 'value' => 37076114526 ],
|
||
|
|
[ 'number' => 102, 'date' => '2017-11-20', 'title' => 'Triangle containment', 'abbreviated' => true, 'steps' => 1995449, 'time' => 281, 'width' => 80, 'height' => 1009, 'value' => 228 ],
|
||
|
|
];
|