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 Showing results 1 to 25 of 29 Search took 0.01 seconds. Search: Posts Made By: a nicol
 Forum: Miscellaneous Math 2021-03-04, 19:46 Replies: 4 Views: 1,031 Posted By a nicol I couldn't get the midi file to make any noise,... I couldn't get the midi file to make any noise, but the graph is interesting. http://oeis.org/A000004/graph
 Forum: Miscellaneous Math 2021-03-03, 14:19 Replies: 7 Views: 1,421 Posted By a nicol Line graphs of A037153 in order and ascending... Line graphs of A037153 in order and ascending numerical order: https://oeis.org/A037153/a037153_1.png
 Forum: Miscellaneous Math 2021-03-02, 17:27 Replies: 7 Views: 1,421 Posted By a nicol There are no primes in the range [n!+2, n!+n] ? There are no primes in the range [n!+2, n!+n] ?
 Forum: Miscellaneous Math 2021-03-02, 13:40 Replies: 7 Views: 1,421 Posted By a nicol First prime before & after a factorial is a prime distance away? Excluding a gap of one, it seems that the first prime before and after a factorial is always a prime distance away. For instance: 5! = 120, the next prime after is 127, this is 7 away, which is...
 Forum: Miscellaneous Math 2020-10-20, 14:05 Replies: 0 Views: 1,936 Posted By a nicol Visualising the Sieve of Eratosthenes There is an interesting javascript app here: http://www.divisorplot.com/ This can be used to gain a unique visualisation of how divisors are distributed. I have compiled some screen grabs of...
 Forum: Miscellaneous Math 2020-10-14, 19:32 Replies: 1 Views: 1,736 Posted By a nicol Factors for the differences between Mersenne numbers It seems the differences between all Mersenne numbers have factors via: a1 = Mersenne exponent a2 = next Mersenne exponent b = (a2-a1)/2 (2^a1 * 3) * ((4^b - 1)/3) For example:
 Forum: Miscellaneous Math 2019-04-30, 13:25 Replies: 7 Views: 1,697 Posted By a nicol I think : 2^n-1 % 3 = [0, 1, 0, 1, 0, 1, 0,... I think : 2^n-1 % 3 = [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1...] 2^n-1 % 4 = [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3...] 2^n-1 % 5 = [0, 1, 3, 2, 0, 1, 3, 2, 0, 1, 3, 2, 0, 1...] 2^n-1 %...
 Forum: Miscellaneous Math 2019-04-30, 12:47 Replies: 7 Views: 1,697 Posted By a nicol 2^n-1 mod 7 = 0,1,3,0,1,3,0...? I posted 2^n-1 % 7 was cyclical first, and the sequence wasn't on the oeis or the forum, but have now noticed the Mersenne numbers mod anything seem to be cyclical. 2^n-1 % 3 = [0, 1, 0, 1, 0, 1,...
 Forum: Miscellaneous Math 2017-12-19, 09:53 Replies: 21 Views: 3,683 Posted By a nicol Thank you, I wasn't aware that table existed... Thank you, I wasn't aware that table existed (hard to search for). If S[0]=4 is 14,194,37634.. What is the sequence for S[0]=2/3?
 Forum: Miscellaneous Math 2017-12-19, 00:42 Replies: 21 Views: 3,683 Posted By a nicol Cataloguing novel sequences and coincidental... Cataloguing novel sequences and coincidental connections is a valid research approach period imo. That is the whole premise of the OEIS.
 Forum: Miscellaneous Math 2017-12-19, 00:28 Replies: 21 Views: 3,683 Posted By a nicol Maybe the answer will become apparent to someone... Maybe the answer will become apparent to someone in some small part via referencing integer sequences. Certainly the many thousands of published papers that reference the OEIS as a data point think...
 Forum: Miscellaneous Math 2017-12-19, 00:20 Replies: 21 Views: 3,683 Posted By a nicol There's only one method? There's only one method?
 Forum: Miscellaneous Math 2017-12-18, 23:58 Replies: 21 Views: 3,683 Posted By a nicol Why, mathematically speaking, do these signs vary... Why, mathematically speaking, do these signs vary depending on the start value? Seems like there's a very large dense class theoretical answer to that. Maybe someone could help simplify the answer...
 Forum: Miscellaneous Math 2017-12-18, 19:31 Replies: 21 Views: 3,683 Posted By a nicol How do you tell if the Lehmer symbol of a LL test... How do you tell if the Lehmer symbol of a LL test is going to be + or -? Could you mention some of the methods you know for establishing this?
 Forum: Miscellaneous Math 2017-12-18, 18:39 Replies: 21 Views: 3,683 Posted By a nicol Trivial, but not previously explicitly associated... Trivial, but not previously explicitly associated with the LL test in any material I was able to search out. So worth pointing out, I thought. There is also the fact that the Lucas Lehmer...
 Forum: Miscellaneous Math 2017-12-18, 13:25 Replies: 21 Views: 3,683 Posted By a nicol Hi, which part were you thinking of checking to... Hi, which part were you thinking of checking to completion? I don't have the cpu time to run larger LL tests atm unfortunately. I think these triples exist for all Mersenne numbers, I just...
 Forum: Miscellaneous Math 2017-12-17, 18:15 Replies: 21 Views: 3,683 Posted By a nicol Final Lucas Lehmer residuals and Pythagorean triples Bas Jansen's phd paper has a table of Lehmer symbols: https://www.math.leidenuniv.nl/scripties/PhDJansen.pdf (4,q) [5(+),7(-),13(+),17(-),19(-),31(+),61(+),89(-),107(-),127(+),521(-)] (10,q)...
 Forum: Math 2017-11-15, 19:11 Replies: 3 Views: 4,834 Posted By a nicol Thank you for your reply CRGreathouse - I tried... Thank you for your reply CRGreathouse - I tried out the code and it works well. I'm still stuck on how to get from: 49/4 mod 2^13-1 to 49*2048 mod 2^13-1 I'd be grateful if you could...
 Forum: Math 2017-11-13, 16:22 Replies: 3 Views: 4,834 Posted By a nicol Testing Mersenne Primes with Elliptic Curves In reference to the paper by Song Y. Yan and Glyn James: ...
 Forum: Math 2017-07-22, 11:26 Replies: 2 Views: 2,894 Posted By a nicol Thank you! Thank you!
 Forum: Math 2017-07-22, 09:08 Replies: 2 Views: 2,894 Posted By a nicol Do 2^p-1 numbers ever have the same first prime factor? Looking at the small sample from http://oeis.org/A136030 - Smallest prime factor of composite Mersenne numbers: [23, 47, 233, 223, 13367, 431, 2351, 6361, 179951, 193707721, 228479, 439, 2687,...
 Forum: Math 2017-04-05, 20:16 Replies: 2 Views: 2,081 Posted By a nicol I did feel that my post looks a little... I did feel that my post looks a little hyperbolic/crankish when that is all that is happening here. However, I haven't found any other direct references to this sequence on google, google books,...
 Forum: Math 2017-04-04, 18:21 Replies: 2 Views: 2,081 Posted By a nicol Geodesic spheres and Mersenne numbers ending in 1 and 7 I thought this was a fun coincidence and I couldn't see it mentioned elsewhere: Taking the first differences of the sequence of Mersenne numbers ending only in 7: [127, 2047, 32767, 524287...] and...
 Forum: Math 2017-04-01, 16:26 Replies: 4 Views: 2,487 Posted By a nicol Interesting! Thank you for the info Nick, I... Interesting! Thank you for the info Nick, I couldn't work out why there were no other apparent references to it. "These are being accompanied by propositions ('stellingen'). Such propositions...
 Forum: Math 2017-04-01, 09:46 Replies: 4 Views: 2,487 Posted By a nicol Proposition 8 in the summary of Bas Jansen's... Proposition 8 in the summary of Bas Jansen's paper features a triangle constructed inside another triangle. The summary is in Dutch but this seems to be saying that the outer triangle has twice the...
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