Andzhig
Jr. Member
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Activity: 184
Merit: 3
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January 18, 2019, 08:54:36 PM |
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If left to right go, they should have already found (if the speed did not fall).
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A little thought ...
On the example of the number of 12 characters 100251560595. We divide it into 2 parts of 6 characters. 100251 560595. Looking for a big number 2^... when both parts are in it. this 2^19445 [5, 3889.0] length 5854 characters. Means all previous 2 ^... it can be used to find all degrees with the first 6 digits 100251, from 2^2 to 2^19445, their
100251 286 [2, 11, 13.0] < 2^ fac search | num length > 87 100251 3276 [2, 2, 3, 3, 7, 13.0] < 2^ fac search | num length > 987 100251 4966 [2, 13, 191.0] < 2^ fac search | num length > 1495 100251 5391 [3, 3, 599.0] < 2^ fac search | num length > 1623 100251 5691 [3, 7, 271.0] < 2^ fac search | num length > 1714 100251 5875 [5, 5, 5, 47.0] < 2^ fac search | num length > 1769 100251 6504 [2, 2, 2, 3, 271.0] < 2^ fac search | num length > 1958 100251 7389 [3, 3, 821.0] < 2^ fac search | num length > 2225 100251 7426 [2, 47, 79.0] < 2^ fac search | num length > 2236 100251 8168 [2, 2, 2, 1021.0] < 2^ fac search | num length > 2459 100251 9202 [2, 43, 107.0] < 2^ fac search | num length > 2771 100251 9307 [41, 227.0] < 2^ fac search | num length > 2802 100251 9422 [2, 7, 673.0] < 2^ fac search | num length > 2837 100251 9788 [2, 2, 2447.0] < 2^ fac search | num length > 2947 100251 9892 [2, 2, 2473.0] < 2^ fac search | num length > 2978 100251 9965 [5, 1993.0] < 2^ fac search | num length > 3000 100251 10025 [5, 5, 401.0] < 2^ fac search | num length > 3018 100251 10469 [19, 19, 29.0] < 2^ fac search | num length > 3152 100251 10852 [2, 2, 2713.0] < 2^ fac search | num length > 3267 100251 11071 [11071] < 2^ fac search | num length > 3333 100251 11591 [67, 173.0] < 2^ fac search | num length > 3490 100251 11803 [11, 29, 37.0] < 2^ fac search | num length > 3554 100251 11906 [2, 5953.0] < 2^ fac search | num length > 3585 100251 11925 [3, 3, 5, 5, 53.0] < 2^ fac search | num length > 3590 100251 11981 [11981] < 2^ fac search | num length > 3607 100251 12056 [2, 2, 2, 11, 137.0] < 2^ fac search | num length > 3630 100251 12365 [5, 2473.0] < 2^ fac search | num length > 3723 100251 12384 [2, 2, 2, 2, 2, 3, 3, 43.0] < 2^ fac search | num length > 3728 100251 13007 [13007] < 2^ fac search | num length > 3916 100251 13017 [3, 4339.0] < 2^ fac search | num length > 3919 100251 13174 [2, 7, 941.0] < 2^ fac search | num length > 3966 100251 13202 [2, 7, 23, 41.0] < 2^ fac search | num length > 3975 100251 13232 [2, 2, 2, 2, 827.0] < 2^ fac search | num length > 3984 100251 13320 [2, 2, 2, 3, 3, 5, 37.0] < 2^ fac search | num length > 4010 100251 13334 [2, 59, 113.0] < 2^ fac search | num length > 4014 100251 13354 [2, 11, 607.0] < 2^ fac search | num length > 4020 100251 13410 [2, 3, 3, 5, 149.0] < 2^ fac search | num length > 4037 100251 13507 [13, 1039.0] < 2^ fac search | num length > 4067 100251 13648 [2, 2, 2, 2, 853.0] < 2^ fac search | num length > 4109 100251 13772 [2, 2, 11, 313.0] < 2^ fac search | num length > 4146 100251 13845 [3, 5, 13, 71.0] < 2^ fac search | num length > 4168 100251 14005 [5, 2801.0] < 2^ fac search | num length > 4216 100251 14354 [2, 7177.0] < 2^ fac search | num length > 4321 100251 14573 [13, 19, 59.0] < 2^ fac search | num length > 4387 100251 14617 [47, 311.0] < 2^ fac search | num length > 4401 100251 14996 [2, 2, 23, 163.0] < 2^ fac search | num length > 4515 100251 15196 [2, 2, 29, 131.0] < 2^ fac search | num length > 4575 100251 15686 [2, 11, 23, 31.0] < 2^ fac search | num length > 4722 100251 15689 [29, 541.0] < 2^ fac search | num length > 4723 100251 15985 [5, 23, 139.0] < 2^ fac search | num length > 4812 100251 16530 [2, 3, 5, 19, 29.0] < 2^ fac search | num length > 4977 100251 16647 [3, 31, 179.0] < 2^ fac search | num length > 5012 100251 17112 [2, 2, 2, 3, 23, 31.0] < 2^ fac search | num length > 5152 100251 17324 [2, 2, 61, 71.0] < 2^ fac search | num length > 5216 100251 17495 [5, 3499.0] < 2^ fac search | num length > 5267 100251 17525 [5, 5, 701.0] < 2^ fac search | num length > 5276 100251 17687 [23, 769.0] < 2^ fac search | num length > 5325 100251 18309 [3, 17, 359.0] < 2^ fac search | num length > 5512 100251 18320 [2, 2, 2, 2, 5, 229.0] < 2^ fac search | num length > 5515 100251 18739 [7, 2677.0] < 2^ fac search | num length > 5642 100251 18774 [2, 3, 3, 7, 149.0] < 2^ fac search | num length > 5652 100251 18971 [61, 311.0] < 2^ fac search | num length > 5711 100251 19312 [2, 2, 2, 2, 17, 71.0] < 2^ fac search | num length > 5814 100251 19445 [5, 3889.0] < 2^ fac search | num length > 5854
and we can exclude all, 6 digit numbers from these numbers, there definitely will not be the second part of our number 560595.
what is the problem with this method, we do not know the first part of our number (and where there will be a match with both of them from 2^2 to 2^... , approximately 2 to 6 matches start with 2 ^ 5000) and we will have 3 parts of 6 digits (18:6=3).
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