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 Showing results 1 to 25 of 344 Search took 0.05 seconds. Search: Posts Made By: Dobri
 Forum: Dobri 2022-08-17, 03:21 Replies: 52 Views: 4,833 Posted By Dobri For k = 12, all possible pairs of two factors for... For k = 12, all possible pairs of two factors for a given Mersenne number are observed with Δk = 1, 3, 4, 5, 7, 8, 9, and 11, where Δk = k2 - k1 with k2 = 12 and k2 > k1. No cases of three factors...
 Forum: Dobri 2022-08-14, 07:59 Replies: 52 Views: 4,833 Posted By Dobri Thanks, this flawlessly eliminates the cases for... Thanks, this flawlessly eliminates the cases for k = 12m + 8 and 12m + 11 indeed. Also, divisibility by 3 is observed for k = 12m + 5 since 2(12m + 5)(6n + 5) + 1 gives the coefficient 2×5×5 + 1 =...
 Forum: Dobri 2022-08-13, 10:15 Replies: 52 Views: 4,833 Posted By Dobri Thanks, this nicely eliminates the cases for k =... Thanks, this nicely eliminates the cases for k = 12m + 1, 12m + 5, and 12m + 9 indeed. However, the cases for k = 12m + 8 and 12m + 11 still need a theoretical interpretation. I do not have a...
 Forum: Dobri 2022-08-11, 11:10 Replies: 52 Views: 4,833 Posted By Dobri A repetitive pattern in observed after k = 12 for... A repetitive pattern in observed after k = 12 for the primes p and the values of k for which primes 2kp + 1 can be found that divide the Mersenne numbers 2p - 1, see the previous posts #29 and #30...
 Forum: Dobri 2022-08-07, 19:25 Replies: 19 Views: 2,400 Posted By Dobri I am using Prime 95 version P95v30.8b15 for P-1... I am using Prime 95 version P95v30.8b15 for P-1 tests while waiting in anticipation for a stable version of P95v30.9 to run ECM more efficiently. That is correct, the Ghz-Days statistics for...
 Forum: Dobri 2022-08-07, 17:25 Replies: 19 Views: 2,400 Posted By Dobri My submitted P-1 tests on M1277 and M1619 were... My submitted P-1 tests on M1277 and M1619 were performed with Intel Core i7-7700 @ 3.60GHz and just 16GB RAM. Let's assume that many users have much better computers and more RAM.
 Forum: Dobri 2022-08-07, 06:51 Replies: 19 Views: 2,400 Posted By Dobri Perhaps more P-1 tests could factor at least one... Perhaps more P-1 tests could factor at least one of the remaining unfactored Mersenne numbers for small exponents: M1277, M1619, M1753, M2267, M2273, M2423, M2521, M2713, M2719, M2851, M3049,...
 Forum: Lounge 2022-07-28, 07:53 Replies: 13 Views: 313 Posted By Dobri "Living 'dead' man gets long delayed new ID card"... "Living 'dead' man gets long delayed new ID card" https://www.bangkokpost.com/thailand/general/2354522/living-dead-man-gets-long-delayed-new-id-card
 2022-07-26, 17:42 Replies: 29 Views: 3,450 Posted By Dobri I was able to construct the distinct words only... I was able to construct the distinct words only after listening to the voice of a female singer from Venezuela, see https://soundcloud.com/gustavocolina/14-tata-quillacas-folclore. The higher...
 2022-07-25, 20:21 Replies: 29 Views: 3,450 Posted By Dobri This is more likely "Bendición-inta quwasun ... This is more likely "Bendición-inta quwasun Qucha nincha qespichispa Kuti-y ninchista saqespa".
 2022-07-24, 07:04 Replies: 29 Views: 3,450 Posted By Dobri The following single paragraph is translated from... The following single paragraph is translated from Spanish language and provided below for scholarly purposes: “2. The miracle in the cult of the Lord of Quillacas Legend has it that at some point...
 2022-07-23, 21:55 Replies: 29 Views: 3,450 Posted By Dobri Indeed, the OP provides a link to a traditional... Indeed, the OP provides a link to a traditional version of the song performed by the Peruvian band Inkari where an "s" sound for "Quillacas" can be heard. However, Bolivian performers tend to...
 2022-07-23, 20:33 Replies: 29 Views: 3,450 Posted By Dobri Quillaka is the name of one of the Aymara tribes.... Quillaka is the name of one of the Aymara tribes. Perhaps the "s" in Quillacas is a Spanish suffix and the use of "c" instead of "k" is also of Spanish origin. One could listen to a shortened...
 2022-07-23, 18:13 Replies: 29 Views: 3,450 Posted By Dobri This is more likely "Chaya-y-ta-wan... This is more likely "Chaya-y-ta-wan k’ancha-ku-sun Qunqur chaki maña-ku-sun", where "qunqur" means knee. Note: The phrase "qunqur chaki" is found twice in the national anthem of Bolivia...
 2022-07-23, 16:15 Replies: 29 Views: 3,450 Posted By Dobri In Colombia, ñaña means a sister of a woman, thus... In Colombia, ñaña means a sister of a woman, thus a woman can call her sister ñaña, but a man could call ñaña only a sister of his wife.
 2022-07-23, 08:14 Replies: 29 Views: 3,450 Posted By Dobri The first four lines could be written as follows:... The first four lines could be written as follows: "Chaya-y-ta chaya-sun-pu-ni Tata Quillakas-man-pu-ni Ñañita-y qanwan kusqa Kusi-y kawsa-y-ta kutin-pu-sun", where "-ta" is a...
 2022-07-23, 06:27 Replies: 29 Views: 3,450 Posted By Dobri It seems that "-sun-pu-ni" and "-man-pu-ni" are... It seems that "-sun-pu-ni" and "-man-pu-ni" are not distinct words bur rather consecutive suffixes to the preceding words.
 2022-07-18, 11:31 Replies: 29 Views: 3,450 Posted By Dobri There is some limited inclusion of Spanish... There is some limited inclusion of Spanish elements indeed. For example, ñaña means sister-in-law, then the Spanish suffix -ita is added to have ñañita, and then the Quechua suffix -y is added to...
 2022-07-17, 13:49 Replies: 29 Views: 3,450 Posted By Dobri A more precise written version is "Ñañitay... A more precise written version is "Ñañitay qanwan kusqa" where "kusqa" means 'together'. Actually, the word "kutin" without additional suffixes means 'again'.
 2022-07-15, 22:58 Replies: 29 Views: 3,450 Posted By Dobri The last line of the last couplet seems to be ... The last line of the last couplet seems to be "Kusi-y kawsa-y-ta kutin-pu-sun", where "kusi-y" means 'happiness' ('gaiety' or 'merrily'), "kawsa-y" means 'life', and "kutin" means 'return'....
 2022-07-07, 05:27 Replies: 29 Views: 3,450 Posted By Dobri The third line seems to be "Ña ñi tay k'a huan... The third line seems to be "Ña ñi tay k'a huan cus ca" (Mi' Mi' Sol' Mi' Re' Do' La).
 Forum: Dobri 2022-06-09, 10:15 Replies: 52 Views: 4,833 Posted By Dobri This is a continuation of the previous post #29... This is a continuation of the previous post #29 at https://www.mersenneforum.org/showpost.php?p=606844&postcount=29. … Number of 2kp+1 primes for p within the range 2 ≤ p ≤ 999,999,937 which...
 Forum: Dobri 2022-05-30, 22:54 Replies: 52 Views: 4,833 Posted By Dobri Number of 2kp+1 primes for p within tne range 2 ≤... Number of 2kp+1 primes for p within tne range 2 ≤ p ≤ 999,999,937 which divide the composite Mersenne numbers Mp = 2p-1 so that Mp mod (2kp+1) = 0: k=1: 1655600 (for which p mod 4 = 3 and p mod 6...
 Forum: Homework Help 2022-05-30, 22:52 Replies: 4 Views: 1,300 Posted By Dobri See also the web page on "Euler and Lagrange on... See also the web page on "Euler and Lagrange on Mersenne Divisors" by Chris K. Caldwell at .
 Forum: Homework Help 2022-05-25, 09:17 Replies: 4 Views: 1,300 Posted By Dobri For the first known proof, see the following... For the first known proof, see the following manuscript: Joseph Louis de Lagrange, Recherches d'arithmétique (1775), pp. 695-795 (in French). Available:...
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