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 Showing results 1 to 25 of 180 Search took 0.04 seconds. Search: Posts Made By: JeppeSN
 2022-08-10, 21:49 Replies: 5 Views: 184 Posted By JeppeSN You will be interested in the thread Integers n... You will be interested in the thread Integers n for which the digit sum of n exceeds the digit sum of n^5 (https://math.stackexchange.com/questions/1401871/) in which I once wrote comments. /JeppeSN
 2022-08-10, 19:49 Replies: 7 Views: 569 Posted By JeppeSN For these, the exponent must be a power of two,... For these, the exponent must be a power of two, so you would check: 62^64+1; 126^128+1; 254^256+1; 510^512+1; ... The first many of them are already proven composite by Generalized Fermat prime...
 2022-08-06, 20:23 Replies: 76 Sticky: new prime k-tuplet page Views: 10,092 Posted By JeppeSN For people who know and love some mathematics,... For people who know and love some mathematics, but are not specialists, there is an easy-to-read paper from 1974 about how they discovered this: Ian Richards, On the incompatibility of two...
 Forum: Math 2022-08-02, 15:30 Replies: 115 Views: 21,392 Posted By JeppeSN Kellen Shenton found the PRP 1196^131072 +... Kellen Shenton found the PRP 1196^131072 + 595^131072, to appear on PRP Top. As soon as it is verified that 1196 is minimal for this exponent, OEIS will be updated. /JeppeSN
 2021-12-15, 17:30 Replies: 151 Sticky: Smarandache prime(s?) Views: 38,634 Posted By JeppeSN There is a Numberphile video out today where Neil... There is a Numberphile video out today where Neil Sloane describes these efforts: https://www.youtube.com/watch?v=vKlVNFOHJ9I /JeppeSN
 Forum: Charles Kusniec 2021-11-22, 23:20 Replies: 16 Views: 2,108 Posted By JeppeSN You forgot 228 in your first list/table. /JeppeSN You forgot 228 in your first list/table. /JeppeSN
 Forum: Charles Kusniec 2021-11-22, 22:39 Replies: 16 Views: 2,108 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: 2,218 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: 2,218 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: 2,218 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: 2,218 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: 2,218 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: 72 Views: 13,454 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: 1,873 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: 307 Views: 62,386 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: 11,120 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: 2,188 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: 95,506 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: 14,386 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: 14,386 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: 95,506 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: 95,506 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: 95,506 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: 95,506 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: 2,466 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...
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