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 Showing results 1 to 25 of 175 Search took 0.03 seconds. Search: Posts Made By: JeppeSN
 Forum: Miscellaneous Math 2021-11-22, 23:20 Replies: 13 Views: 782 Posted By JeppeSN You forgot 228 in your first list/table. /JeppeSN You forgot 228 in your first list/table. /JeppeSN
 Forum: Miscellaneous Math 2021-11-22, 22:39 Replies: 13 Views: 782 Posted By JeppeSN For what it's worth, an attempt to format the... For what it's worth, an attempt to format the tables. ----------------------- Table I: Tally Composite C d_s [C] C-(d_s [C]+1) C-1 C+1 C+(d_s [C]+1) 1 12 4 ...
 Forum: Factoring 2021-11-09, 22:40 Replies: 17 Views: 985 Posted By JeppeSN Thanks. Note that a lot of ECM (elliptic-curve... Thanks. Note that a lot of ECM (elliptic-curve factorization) had already been attempted on these two numbers even before their values were disclosed. For that reason I expect it to be quite...
 Forum: Factoring 2021-11-09, 22:24 Replies: 17 Views: 985 Posted By JeppeSN The b such that b^2048+1 is prime, are 1, 150,... The b such that b^2048+1 is prime, are 1, 150, 2558, 4650, 4772, 11272, 13236, ... (https://oeis.org/A088361). The game here is to skip forward in this sequence to the first values b such that...
 Forum: Factoring 2021-11-09, 12:56 Replies: 17 Views: 985 Posted By JeppeSN It is not "my page". The page is on a BOINC... It is not "my page". The page is on a BOINC server (https://primes.utm.edu/bios/page.php?id=5191) set up by user stream (https://mersenneforum.org/member.php?u=14491) who runs this project. /JeppeSN
 Forum: Factoring 2021-11-08, 23:56 Replies: 17 Views: 985 Posted By JeppeSN Thank you for providing some insightful numbers. ... Thank you for providing some insightful numbers. Clearly, I am not saying this is the cheapest way to find a megaprime (for that, you can join PrimeGrid's Proth Prime Mega subproject, or their...
 Forum: Factoring 2021-11-08, 22:02 Replies: 17 Views: 985 Posted By JeppeSN Help factor some b such that b^4096+1 are mega(PR)primes While Mersenne primes can be thought of as primes that precede a perfect power, a so-called generalized Fermat prime is defined (here) as a prime following a perfect power, so a prime of form b^N+1...
 2021-04-21, 07:16 Replies: 71 Views: 8,842 Posted By JeppeSN Good one! Maybe it will be clear when the... Good one! Maybe it will be clear when the PRP Top entry becomes visible, but what types of PRP tests has this one "passed", as of now? /JeppeSN
 Forum: Miscellaneous Math 2021-04-20, 14:03 Replies: 12 Views: 1,511 Posted By JeppeSN I guess it is true that every odd factor of... I guess it is true that every odd factor of Phi(n,b)/gcd(Phi(n,b),n) (with b≥2) (where Phi is the cyclotomic polynomial, and gcd is greatest common divisor) is of the form kn+1. /JeppeSN
 Forum: Riesel Prime Search 2021-02-19, 08:48 Replies: 290 Views: 51,984 Posted By JeppeSN This beats an idea of simply doing 10^999999 +... This beats an idea of simply doing 10^999999 + k*10^(333333-m) ± 1 with m very small. Such a prime would be simpler to test than Serge Batalov's, but not quite as close to 10^999999. /JeppeSN
 Forum: FermatSearch 2021-02-16, 12:31 Replies: 12 Sticky: gfn results Views: 10,151 Posted By JeppeSN I added the information to... I added the information to https://primes.utm.edu/primes/page.php?id=131760#comments It had already appeared on http://www.prothsearch.com/GFNfacs.html /JeppeSN
 Forum: Math 2021-01-18, 15:43 Replies: 8 Views: 1,667 Posted By JeppeSN The official policy of OEIS disagrees. On... The official policy of OEIS disagrees. On https://oeis.org/SubmitB.html you can read: So just because it is faster to calculate a sequence than to fetch it over the internet, does not mean...
 Forum: FermatSearch 2021-01-17, 23:57 Replies: 345 Sticky: New Fermat factors Views: 83,328 Posted By JeppeSN You may be aware that PrimeGrid found:... You may be aware that PrimeGrid found: https://primes.utm.edu/primes/page.php?id=131583 27*2^7963247 + 1 divides Fermat F(7963245) /JeppeSN
 Forum: FermatSearch 2020-11-19, 10:33 Replies: 65 Views: 11,931 Posted By JeppeSN And the difference between F0 and pi is negative.... And the difference between F0 and pi is negative. /JeppeSN
 Forum: FermatSearch 2020-11-19, 00:41 Replies: 65 Views: 11,931 Posted By JeppeSN MM82589933 = 2^(2^82589933-1) - 1 is a prime. ... MM82589933 = 2^(2^82589933-1) - 1 is a prime. Now please prove me wrong - any prime factor of that number would be the largest prime ever found. /JeppeSN
 Forum: FermatSearch 2020-10-12, 22:20 Replies: 345 Sticky: New Fermat factors Views: 83,328 Posted By JeppeSN But before that, Ravi Fernando showed me: ... But before that, Ravi Fernando showed me: Let p = k * 2^n + 1 be a prime that divides a Fermat number. From the formula, we can write k = -1/2^n (mod p). But the order of 2 (mod p) is a power of...
 Forum: FermatSearch 2020-10-12, 20:10 Replies: 345 Sticky: New Fermat factors Views: 83,328 Posted By JeppeSN Cool. It should be added as a User comment on... Cool. It should be added as a User comment on https://primes.utm.edu/primes/page.php?id=131289. If you have at least one prime on primes.utm.edu, you can do it. Ask me if you do not know how to do...
 Forum: FermatSearch 2020-10-11, 12:18 Replies: 345 Sticky: New Fermat factors Views: 83,328 Posted By JeppeSN Very good. Thank you. So in this case the number... Very good. Thank you. So in this case the number will be carefully checked and double checked. But I also wrote to Ryan P. to make sure future primes are not forgotten. /JeppeSN
 Forum: FermatSearch 2020-10-10, 20:49 Replies: 345 Sticky: New Fermat factors Views: 83,328 Posted By JeppeSN Dear rynp, Congratulations with this... Dear rynp, Congratulations with this remarkable discovery! Has the above PFGW run completed by now? I see no User comment mentioning the GF(-, 7) divisor on...
 Forum: Math 2020-10-06, 20:28 Replies: 5 Views: 2,132 Posted By JeppeSN This part is explained in... This part is explained in https://en.wikipedia.org/wiki/Second_Hardy%E2%80%93Littlewood_conjecture – if the First Hardy–Littlewood conjecture is true, then this implies that the second...
 Forum: Miscellaneous Math 2020-09-21, 07:11 Replies: 9 Views: 3,112 Posted By JeppeSN I see an easy factorization of 2^n - 1 by... I see an easy factorization of 2^n - 1 by induction: Suppose 2^(n-1) - 1 is factored. Then the factorization of 2^n - 2 is trivial. If we could somehow get the factorization from 2^n - 1 from that,...
 Forum: Miscellaneous Math 2020-09-13, 09:34 Replies: 8 Views: 3,305 Posted By JeppeSN How? For example, 7 divides 70, but s(7) = 2*7^2... How? For example, 7 divides 70, but s(7) = 2*7^2 - 1 = 97 does not divide s(70) = 2*70^2 - 1 = 9799. Clearly enough, 97 divides 9797, hence 97 leaves a remainder of 2 when dividing into 9799? It...
 Forum: Information & Answers 2020-09-08, 08:09 Replies: 4 Views: 2,642 Posted By JeppeSN 16777216 = 2^24. Note that 2^16777216 + 1 =... 16777216 = 2^24. Note that 2^16777216 + 1 = F(24) is the 24th Fermat number. No factors are known. You are probably searching for one. However M(16777216) = 2^16777216 - 1 =...
 Forum: Math 2020-09-02, 10:40 Replies: 3 Views: 5,495 Posted By JeppeSN I wrote that OEIS entry. Did you ever complete... I wrote that OEIS entry. Did you ever complete that ABC file to 2976221 or beyond? /JeppeSN
 Forum: FactorDB 2020-09-01, 11:43 Replies: 3 Views: 4,916 Posted By JeppeSN There must be or have been some inconsistence on... There must be or have been some inconsistence on how the precedence is when the parentheses are not explicit. If you type (10^79-181)%((10^79-1)/9) you come to the fully factored 79-digit...
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