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 2005-12-16, 08:24 #45 fatphil     May 2003 3×7×11 Posts Backfilling 15k=25935 I noticed that 25935 had a criminally small low hole, so decided to fill it last night: 11476, 12448, 13205, 16282, 19583, 22209, 26443, 28532, 29326, 32689, 34226, 42832, 44325, 46144 already known, 47396 already known, 54956, ... (67364) No point leaving a hole, so I'll finish this one off too.
 2005-12-16, 20:46 #46 ValerieVonck     Mar 2004 Belgium 15058 Posts 1 more prime to 100k: Code: 3250995*2^97731-1 is prime! 29427 digits
 2005-12-20, 11:42 #47 fatphil     May 2003 3×7×11 Posts 15k=25935 backfilled completely 11476, 12448, 13205, 16282, 19583, 22209, 26443, 28532, 29326, 32689, 34226, 42832, 44325, (46144 already known, 47396 already known,) 54956, 67599, 69182, 69625, 75563, 81684, 83898, 84676, 91943, 92016, 101560 This brings the total known list to: 1, 3, 4, 9, 10, 11, 12, 16, 19, 21, 23, 25, 29, 32, 33, 35, 44, 48, 64, 80, 82, 99, 100, 101, 128, 132, 141, 155, 170, 201, 213, 339, 570, 573, 623, 698, 721, 811, 826, 964, 1120, 1173, 1185, 1225, 1324, 1329, 1392, 1775, 2056, 2576, 2631, 3045, 3488, 3609, 3803, 4653, 4902, 5064, 5210, 5931, 6013, 6978, 7429, 8163, 8316, 9460, 11476, 12448, 13205, 16282, 19583, 22209, 26443, 28532, 29326, 32689, 34226, 42832, 44325, 46144, 47396, 54956, 67599, 69182, 69625, 75563, 81684, 83898, 84676, 91943, 92016, 101560 117344, 121855, 139225, 152803, 173518, 219995 (220000) Bugger, that's 98. Really stopping this time - factorial prime sieving is my next job... Good luck all.
 2005-12-20, 14:51 #48 Kosmaj     Nov 2003 2×1,811 Posts The stats page updated with small primes found by Phil and Amphoria. Will add those found by Cedric later (cannot locate primes for n<10k for his k...). BTW a historic remark on two k's included above. k=25935 > (46144 already known, 47396 already known,) These two primes were found in Engelsma (g174) in summer 2000. k=869688105 Primes for 27102 <= n <= 48078 were found by Herranen (g78) in November-December 1998.
 2005-12-23, 18:37 #49 lsoule     Nov 2004 California 23×3×71 Posts Last year I posted the first hundred primes for k=860541825 (The 100th is at n=54696). I have filled in the gaps and taken this k up to 260k so far. Here are the new primes for a total of 113 primes so far: 860541825 66286 860541825 67056 860541825 78227 860541825 86092 860541825 95583 860541825 100597 860541825 101104 860541825 102606 860541825 105210 860541825 153367 860541825 170189 860541825 187934 860541825 242559 -Larry
2005-12-23, 19:30   #50
Cruelty

May 2005

65216 Posts

I have started working on k=151515, just for fun So far 73 primes have been discovered for n<210000, continuing sieving and testing for 210000<n<400000.
Attached Files
 PRIMES_k=151515_n-210000.txt (1.2 KB, 171 views)

 2005-12-29, 02:45 #51 grobie     Sep 2005 Raleigh, North Carolina 337 Posts k=850612425 From Choose your own K, k=850612425 sieved to 312G 10K to 300K, currently at n=244600, Total 100 Primes Will continue to 300k Primes from n=1 to 10k =77 850612425 10649 850612425 11025 850612425 12050 850612425 12636 850612425 12654 850612425 13294 850612425 23950 850612425 25304 850612425 35537 850612425 46316 850612425 48793 850612425 64345 850612425 78208 850612425 91844 850612425 98819 850612425 107606 850612425 135696 850612425 143231 850612425 153594 850612425 167265 850612425 179716 850612425 219429 850612425 239205 (100th Prime)
 2005-12-30, 19:03 #52 ValerieVonck     Mar 2004 Belgium 33×31 Posts k=234686595 From choose your own K 234686595*2^11442 - 1 is prime! 3453 digits 234686595*2^18824 - 1 is prime! 5675 digits 234686595*2^23205 - 1 is prime! 6994 digits 234686595*2^26353 - 1 is prime! 7942 digits 234686595*2^27268 - 1 is prime! 8217 digits 234686595*2^27600 - 1 is prime! 8317 digits 234686595*2^27607 - 1 is prime! 8319 digits 234686595*2^29745 - 1 is prime! 8963 digits 234686595*2^32882 - 1 is prime! 9907 digits 234686595*2^33072 - 1 is prime! 9965 digits Makes 84 primes! Up to ??
 2005-12-31, 11:12 #53 ValerieVonck     Mar 2004 Belgium 11010001012 Posts k=234686595 234686595*2^35503 - 1 is prime! 10696 digits 234686595*2^36492 - 1 is prime! 10994 digits 234686595*2^36752 - 1 is prime! 11072 digits 234686595*2^37128 - 1 is prime! 11186 digits 234686595*2^37376 - 1 is prime! 11260 digits 234686595*2^37694 - 1 is prime! 11356 digits 234686595*2^39137 - 1 is prime! 11790 digits 234686595*2^43606 - 1 is prime! 13136 digits 234686595*2^48861 - 1 is prime! 14717 digits 234686595*2^49489 - 1 is prime! 14907 digits Makes 94 primes! Last fiddled with by ValerieVonck on 2005-12-31 at 11:13 Reason: small update
 2006-01-01, 20:35 #54 ValerieVonck     Mar 2004 Belgium 33·31 Posts 234686595*2^50913 - 1 is prime! 15335 digits 234686595*2^62127 - 1 is prime! 18711 digits Makes 96
 2006-01-03, 00:31 #55 grobie     Sep 2005 Raleigh, North Carolina 337 Posts From choose you own k=1222853775 Primes from n=1 to 10k = 81 1222853775 12582 1222853775 15111 1222853775 15562 1222853775 17039 1222853775 20909 1222853775 25721 1222853775 27435 1222853775 29005 1222853775 29499 1222853775 29511 1222853775 30871 1222853775 32373 1222853775 32798 1222853775 36441 1222853775 37700 1222853775 45789 1222853775 46062 1222853775 48302 1222853775 52094 (100th Prime) 1222853775 53967 1222853775 54089 1222853775 55766

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