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 Showing results 1 to 25 of 166 Search took 0.03 seconds. Search: Posts Made By: JeppeSN
 Forum: Riesel Prime Search 2021-02-19, 08:48 Replies: 241 Views: 40,756 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: 6,775 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: 1,037 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: 335 Sticky: New Fermat factors Views: 60,821 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: 7,875 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: 7,875 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: 335 Sticky: New Fermat factors Views: 60,821 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: 335 Sticky: New Fermat factors Views: 60,821 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: 335 Sticky: New Fermat factors Views: 60,821 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: 335 Sticky: New Fermat factors Views: 60,821 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: 1,356 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: 1,891 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: 2,161 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: 2,345 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: 4,286 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: 3,354 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...
 Forum: Proth Prime Search 2020-09-01, 08:44 Replies: 27 Views: 14,506 Posted By JeppeSN One reason for doing very tiny k is that they are... One reason for doing very tiny k is that they are aesthetically more pleasing. Another reason is that the probability that each prime you find, will divide a Fermat number or a generalized Fermat...
 Forum: Information & Answers 2020-08-17, 21:32 Replies: 38 Views: 16,499 Posted By JeppeSN There are infinitely many primes of the form 4*x... There are infinitely many primes of the form 4*x + 1. (https://math.stackexchange.com/questions/244915/) (This is more elementary than the more general Dirichlet theorem on arithmetic progressions...
 2020-08-17, 20:49 Replies: 9 Views: 12,768 Posted By JeppeSN Oops, that is right. It should have been 2^n-2... Oops, that is right. It should have been 2^n-2 for n prime (http://factordb.com/index.php?query=2%5En-2&use=n&n=2&VP=on&EV=on&OD=on&PR=on&FF=on&PRP=on&CF=on&U=on&C=on&perpage=200&format=1&sent=Show),...
 Forum: XYYXF Project 2020-08-17, 09:26 Replies: 2 Views: 3,076 Posted By JeppeSN Thanks, that sounds like the explanation! So... Thanks, that sounds like the explanation! So it is n^k + k^n where either 1 < k ≤ n or 1 = k = n-1. It is not really important if we include that exceptional case, or not. There are similar...
 Forum: Math 2020-08-17, 09:00 Replies: 8 Views: 4,024 Posted By JeppeSN If I understand correctly, this PARI method... If I understand correctly, this PARI method implements it: LLFermat(m) = v=Mod(5,2^(2^m)+1);for(i=1,2^m-2,v=v^2-2);v==0 The way I understand Pépin's test, is: Pepin(m) =...
 Forum: XYYXF Project 2020-08-16, 11:58 Replies: 2 Views: 3,076 Posted By JeppeSN 3 as Leyland prime? Sorry if this has been asked before. OEIS has the following two sequences: (A076980) Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n =...
 Forum: PARI/GP 2020-08-16, 11:02 Replies: 13 Views: 7,453 Posted By JeppeSN I thought the problem would go away if you... I thought the problem would go away if you shifted away from zero (where the floating point number representation can shift almost arbitrarily), but it still cannot do any of: solve(x=-1, 2, x^3)...
 2020-08-16, 10:34 Replies: 9 Views: 12,768 Posted By JeppeSN Agree with Batalov; for proving primality of M_p,... Agree with Batalov; for proving primality of M_p, since the full factorization of M_p + 1 is trivial, we do not gain anything from the factorization of M_p - 1. Of course, it may be fun to find...
 Forum: Conjectures 'R Us 2020-08-05, 17:17 Replies: 83 Views: 32,322 Posted By JeppeSN Thank you for all the work you did on these two... Thank you for all the work you did on these two k! I will write a post in this forum if a prime is ever located in one of these two series. /JeppeSN
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