571, 380, 162, 369, 034, 457, 766, 110, 527, 319, 616, 478, 013, 746, 057, 946, 324, 441, 616, 912, 697, 331, 334, 021, 864, 273, 600, 122, 371, 758, 761, 150, 597, 142, 767, 103, 916, 206, 716, 438, 715, 528, 661, 861, 696, 434, 793, 102, 487, 082, 132, 609, 982, 702, 075, 646, 690, 506, 839, 919, 464, 558, 206, 623, 485, 285, 763, 372, 399, 323, 591, 415, 023, 257, 128, 077, 695, 964, 146, 388, 753, 183, 351, 472, 080, 049, 210, 206, 896, 090, 684, 582, 904, 585, 680, 445, 943, 222, 741, 744, 944, 279, 259, 238, 783, 143, 230, 070, 977, 434, 905, 330, 838, 864, 192, 447, 090, 388, 743, 891, 966, 103, 639, 085, 564, 941, 689, 739, 634, 658, 010, 239, 354, 920, 461, 781, 849, 548, 942, 255, 128, 550, 713, 990, 102, 942, 502, 752, 795, 326, 476, 169, 495, 718, 267, 573, 139, 361, 957, 530, 142, 615, 245, 519, 440, 263, 306, 863, 458, 129, 191, 977, 982, 844, 143, 078, 466, 961, 479, 919, 829, 174, 422, 968, 488, 162, 304, 260, 979, 352, 818, 986, 837, 360, 911, 712, 939, 424, 006, 501, 182, 124, 187, 144, 194, 359, 066, 803, 414, 878, 995, 159, 204, 553, 110, 631, 184, 662, 788, 134, 981, 294, 433, 971, 979, 805, 469, 955, 431, 496, 637, 470, 012, 493, 442, 881, 035, 502, 692, 779, 906, 128, 216, 231, 963, 024, 654, 728, 110, 644, 688, 160, 269, 233, 937, 283, 344, 022, 810, 075, 707, 822, 476, 246, 642, 184, 828, 765, 367, 682, 989, 286, 533, 984, 498, 734, 920, 175, 246, 140, 303, 368, 611, 111, 560, 593, 537, 850, 116, 435, 529, 850, 341, 899, 185, 441, 144, 861, 440, 625, 988, 261
Yup, it's a big number - 906 digits, to be precise. And it is demonstrably not a prime number. (Quick refresher - a prime number can only be divided evenly by itself and one. The numbers 5, 7, and 13 are examples of prime numbers. A composite number is the product of two or more primes. The numbers 4, 15, 33, and the gigantic number above are examples of composite numbers)
Factoring a large composite number (that is, breaking it into the product of primes) is a difficult problem in mathematics. I'm reasonably sure that the largest arbitrary number that has been factored has only about 150 digits. The above number has, as far as I know, exactly two factors. You might say that it is so large, only God could factor it.
Which is exactly my intention.
I generated this product algorithmically. No one, including me, has ever seen the factors of this number, and in all likelihood, no one ever will. I was originally going to boast that the "suns would grow cold" before the factors of this number could be extracted, but the advent of quantum computing within the coming decades may change that. However, there is evidence that even with quantum computers, this number will be difficult to factor.
I think of this as my "god" test. Just provide me with one of the factors for this number, and you'll have a believer on your hands. I don't care how you do it - flaming numbers in the sky, speaking in tongues, channeling, whatever - just have someone or something provide the factors for this number. The nice thing about this test is that it is easily stated, and easily verified: if the divinely supplied number evenly divides the 906 digit number above, the test succeeds, yielding the other factor in the process. It should be easy for an omniscient being, and at least possible for an advanced non-omniscient being.
Of course, I'd probably just come up with an even bigger number after that.
You can respond to my ranting here.
Just give me that old time rant.