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 Showing results 1 to 25 of 1000 Search took 0.28 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2022-12-04, 23:27 Replies: 0 Views: 43 Posted By sweety439 True, False, Open problem Related to prime numbers in given integer sequences: (reference: http://www.prothsearch.com/sierp.html, http://www.prothsearch.com/rieselprob.html, http://www.prothsearch.com/riesel1.html,...
 Forum: sweety439 2022-12-01, 15:39 Replies: 385 Views: 61,181 Posted By sweety439 The smallest prime of the form {1}2 in base b... The smallest prime of the form {1}2 in base b (let the length of this prime be n) is minimal prime (start with b+1) in base b if and only if the length of the smallest prime of the form {1} in base b...
 2022-11-28, 19:11 Replies: 202 Views: 44,518 Posted By sweety439 OK, also you can see https://oeis.org/A092559,... OK, also you can see https://oeis.org/A092559, current the larger prime factor of 2^A092559(n)+1 have been proven prime for all a(n) up to a(52) = 117239, why you skip a(53) = 120788 and prove a(54)...
 2022-11-28, 19:04 Replies: 202 Views: 44,518 Posted By sweety439 Primo seems to have a limit of 160000 bits Primo seems to have a limit of 160000 bits
 Forum: Cunningham Tables 2022-11-27, 17:31 Replies: 69 Views: 24,440 Posted By sweety439 Do you mean 2,2222L? Do you mean 2,2222L?
 Forum: sweety439 2022-11-27, 14:03 Replies: 21 Views: 1,674 Posted By sweety439 this number... this number (http://factordb.com/index.php?id=1100000003974114544) is the 133549th minimal prime (https://primes.utm.edu/glossary/xpage/MinimalPrime.html) in base 25 if we only consider the primes >...
 2022-11-27, 13:12 Replies: 84 Sticky: new prime k-tuplet page Views: 12,254 Posted By sweety439 I have an idea for a sequence for prime k-tuples,... I have an idea for a sequence for prime k-tuples, see https://pzktupel.de/smarchive.php, this sequence seems not to be in OEIS Smallest k such that there exists all kinds of prime n-tuples <= k ...
 Forum: Lounge 2022-11-24, 07:01 Replies: 54 Views: 2,252 Posted By sweety439 Now, I have a prediction .... the game that... Now, I have a prediction .... the game that South Korea v.s Uruguay on 2022/11/24 16:00 South Korea = 5128*22^n+1 Uruguay = 3656*22^n-1 Which team wins = Which form requires smaller n to be...
 Forum: Lounge 2022-11-24, 06:40 Replies: 54 Views: 2,252 Posted By sweety439 Argentina = 55459*2^n+1 (higher weight) Saudi... Argentina = 55459*2^n+1 (higher weight) Saudi Arabia = 10223*2^n+1 (lower weight) Everyone guess that Argentina should win (55459*2^n+1 should require smaller n to be prime), but the fact is that...
 Forum: sweety439 2022-11-24, 06:33 Replies: 21 Views: 1,674 Posted By sweety439 Since 2,1091+ is C307, and it has been sieved... Since 2,1091+ is C307, and it has been sieved many days with no result (as long as 7,889M), I think that it may be the worst case (i.e. P154*P154), and if so, then it will broke 7,889M's P151 record...
 Forum: Cunningham Tables 2022-11-22, 10:26 Replies: 42 Views: 4,500 Posted By sweety439 Are there any numbers with > 229 digits ever been... Are there any numbers with > 229 digits ever been factored with GNFS (a challenge, factor the 230-digit composite cofactor of R383 with GNFS)? If not, then this 221-digit cofactor of 2,2246M...
 Forum: Cunningham Tables 2022-11-22, 10:22 Replies: 42 Views: 4,500 Posted By sweety439 See... See https://homes.cerias.purdue.edu/~ssw/cun/appc722.txt, you can consider 3,715-, 2,2874M, 10,710M, 7,419- (just a suggestion)
 Forum: sweety439 2022-11-22, 04:40 Replies: 385 Views: 61,181 Posted By sweety439 See... See https://github.com/xayahrainie4793/minimal-elements-of-the-prime-numbers/blob/main/README.md for more information of this project, including the condensed table (currently the condensed table is...
 Forum: sweety439 2022-11-21, 12:31 Replies: 385 Views: 61,181 Posted By sweety439 Records for number of minimal primes (starting... Records for number of minimal primes (starting with b+1) base b: 2 (1), 3 (3), 4 (5), 5 (22), 7 (71), 8 (75), 9 (151), 11 (1068), 13 (3196 or 3197, 3197 assuming the heuristic argument that all...
 Forum: sweety439 2022-11-20, 04:06 Replies: 21 Views: 1,674 Posted By sweety439 This number is very important, since this is the... This number is very important, since this is the last number 2^n+-1 with n <= the smallest Wieferich prime (1093), thus when this number is fully factored, all 2^n+-1 with n <= the smallest Wieferich...
 Forum: Msieve 2022-11-20, 03:57 Replies: 6 Views: 486 Posted By sweety439 This number has as long as 261 digits (and is a... This number has as long as 261 digits (and is a cofactor of 2^1274-958, which may have SNFS polynomial, but I am not sure), if this number can be factored, then 2^1217-1 (with a composite of 248...
 Forum: FactorDB 2022-11-18, 10:15 Replies: 37 Views: 3,673 Posted By sweety439 Well, see... Well, see https://github.com/xayahrainie4793/minimal-elements-of-the-prime-numbers/tree/main/primality-certificates, these are the primality certificate of these primes, for the unproven PRP see...
 Forum: Software 2022-11-18, 10:13 Replies: 818 Views: 127,067 Posted By sweety439 @rogue: Why when click "download" in the... @rogue: Why when click "download" in the page https://sourceforge.net/projects/mtsieve/, it only has "srsieve2cl.exe"? It seems that we should click...
 Forum: sweety439 2022-11-16, 11:17 Replies: 385 Views: 61,181 Posted By sweety439 https://mersenneforum.org/showpost.php?p=452132&po... https://mersenneforum.org/showpost.php?p=452132&postcount=66 The numbers in x{y}z (where x and z are strings (may be empty) of digits in base b, y is a digit in base b) families are of the form...
 Forum: sweety439 2022-11-16, 10:56 Replies: 385 Views: 61,181 Posted By sweety439 For the numbers < 10^25000, I require them to be... For the numbers < 10^25000, I require them to be definitely primes (i.e. not merely probable primes), N-1 proving (https://primes.utm.edu/prove/prove3_1.html) or N+1 proving...
 Forum: FactorDB 2022-11-14, 00:39 Replies: 37 Views: 3,673 Posted By sweety439 Well .... I hope that there is a "Minimal primes:... Well .... I hope that there is a "Minimal primes: ECPP proofs" thread, like the "Leyland Primes: ECPP proofs" thread (https://mersenneforum.org/showthread.php?t=19348), for both of them (the large...
 Forum: sweety439 2022-11-14, 00:19 Replies: 385 Views: 61,181 Posted By sweety439 New link for GitHub:... New link for GitHub: https://github.com/xayahrainie4793/minimal-elements-of-the-prime-numbers (I renamed it, I think that this name is better)
 Forum: Riesel Prime Search 2022-11-13, 05:15 Replies: 103 Views: 48,618 Posted By sweety439 Why k must be > 4? I know that for even k the... Why k must be > 4? I know that for even k the form can be reduced to k' = k/2, but what about k = 1 and k = 3? Also, are there sieve files for k*2^n+1 as well as k*2^n-1?
 Forum: sweety439 2022-11-12, 00:25 Replies: 3 Views: 488 Posted By sweety439 Also, outside number theory, 24 is also very... Also, outside number theory, 24 is also very important because .... * 24 is the largest n such that 1^2+2^2+3^2+4^2+...+n^2 is square. * 24 is the Euler characteristic of a K3 surface. * The...
 Forum: sweety439 2022-11-10, 19:19 Replies: 1 Views: 337 Posted By sweety439 Extend many classic problems to bases 2 <= b <= 36 1. Lychrel number (https://en.wikipedia.org/wiki/Lychrel_number) (function "N + reverse of N" until reach a palindrome, e.g. 78 + 87 = 165, 165 + 561 = 726, 726 + 627 = 1353, 1353 + 3531 = 4884 and...
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