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 Showing results 1 to 25 of 1000 Search took 0.20 seconds. Search: Posts Made By: sweety439
 Forum: Wagstaff PRP Search 2021-06-29, 17:02 Replies: 16 Views: 1,286 Posted By sweety439 Only run Fermat test is dangerous, as there are... Only run Fermat test is dangerous, as there are many Carmichael numbers, see https://en.wikipedia.org/wiki/Baillie%E2%80%93PSW_primality_test#The%20danger%20of%20relying%20only%20on%20Fermat%20tests,...
 Forum: Wagstaff PRP Search 2021-06-29, 16:59 Replies: 16 Views: 1,286 Posted By sweety439 Can you test all Wagstaff exponents below it?... Can you test all Wagstaff exponents below it? Currently only the Wagstaff exponents below 10 million are tested, see https://mersenneforum.org/showthread.php?t=24185
 Forum: sweety439 2021-06-29, 16:29 Replies: 154 Views: 14,212 Posted By sweety439 README for the file... README for the file https://docs.google.com/spreadsheets/d/e/2PACX-1vTKkSNKGVQkUINlp1B3cXe90FWPwiegdA07EE7-U7sqXntKAEQrynoI1sbFvvKriieda3LfkqRwmKME/pubhtml: * 12{3}45 means family {1245, 12345,...
 Forum: FactorDB 2021-06-29, 08:37 Replies: 14 Views: 1,529 Posted By sweety439 I typed "B10... I typed "B10 (http://factordb.com/index.php?query=B10)" in factordb, and the result number is still 10 instead of Bell (https://oeis.org/A000110)(10) = 115975
 Forum: sweety439 2021-06-28, 09:24 Replies: 12 Views: 6,573 Posted By sweety439 this... this (https://raw.githubusercontent.com/xayahrainie4793/text-file-stored/main/k%3E%3D2%20such%20that%20Phi(n%2Ck)%20is%20prime) is a list for all 2<=k<=4096 such that Phi(n,k) is prime. We noticed...
 Forum: sweety439 2021-06-27, 13:19 Replies: 154 Views: 14,212 Posted By sweety439 We can use the sense of... We can use the sense of http://www.iakovlev.org/zip/riesel2.pdf to conclude that the unsolved families (unsolved families are families which are neither primes (>base) found nor can be proven to...
 Forum: sweety439 2021-06-27, 12:47 Replies: 1,244 Views: 75,444 Posted By sweety439 Riesel problems... Riesel problems (https://docs.google.com/document/d/e/2PACX-1vReofbA92gRRhzqjKA3TKOqsukineM59WpM56LuRnbhB7bBFSYL6w-aTJ2IpJPWpiyCmPLOSE6gqDrR/pub) and Sierpinski problems...
 Forum: Sierpinski/Riesel Base 5 2021-06-27, 09:05 Replies: 4 Sticky: Project Description Views: 12,608 Posted By sweety439 Now there are: 30 Sierpinski k's remain (at... Now there are: 30 Sierpinski k's remain (at n=3.3M): {6436, 7528, 10918, 26798, 29914, 31712, 36412, 41738, 44348, 44738, 45748, 51208, 58642, 60394, 62698, 64258, 67612, 67748, 71492, 74632,...
 Forum: sweety439 2021-06-26, 13:44 Replies: 0 Views: 94 Posted By sweety439 A curious of generalized repunit primes For given base b and given prime p: (b^p-1)/(b-1) (http://www.fermatquotient.com/PrimSerien/GenRepu.txt) is divisible by p if and only if p divides b-1 (b^p+1)/(b+1)...
 Forum: sweety439 2021-06-25, 07:29 Replies: 373 Views: 24,343 Posted By sweety439 If I only research a problem in dozenal (base... If I only research a problem in dozenal (base 12), or if I only research a problem in bases <= 12, then I use X for ten and E for eleven, however, if I research a problem in bases including those >...
 Forum: FactorDB 2021-06-25, 07:09 Replies: 14 Views: 1,529 Posted By sweety439 I want to add the first n digits for many... I want to add the first n digits for many mathematical constants (pi, e, gamma, sqrt(2), ln(2), golden ratio, ...) in all bases 2<=b<=36, also the Smarandache numbers (https://oeis.org/A007908) and...
 Forum: FactorDB 2021-06-25, 07:07 Replies: 14 Views: 1,529 Posted By sweety439 I suggest that factordb can add all these... I suggest that factordb can add all these functions (https://mersenneforum.org/showpost.php?p=579527&postcount=12)
 Forum: Math 2021-06-24, 07:56 Replies: 26 Views: 4,123 Posted By sweety439 I suggest: * Test all Wagstaff numbers with... I suggest: * Test all Wagstaff numbers with exponent below 15 million (at least prove or disprove that 13347311 and 13372531 are the next two Wagstaff exponents after 4031399), W13347311 and...
 Forum: FactorDB 2021-06-24, 07:15 Replies: 15 Views: 8,683 Posted By sweety439 Silvester/Euclid sequence (and the sequences... Silvester/Euclid sequence (and the sequences which I suggest in the previous post) should not stop when the number is not fully factored (e.g. n=20...
 Forum: sweety439 2021-06-24, 06:57 Replies: 373 Views: 24,343 Posted By sweety439 The number of Mersenne exponents end with E... The number of Mersenne exponents end with E should be less than that of Mersenne exponents end with 1, 5, or 7, this is because for all Sophie Germain primes p == 3 mod 4 (all such primes end with...
 2021-06-24, 06:49 Replies: 47 Views: 19,434 Posted By sweety439 A new interest for "Divides Phi" 3*2^n+1 divides Phi(3*2^(n-1),2) for n = 5, 6, 8, 12, and the cofactor of them are all primes (this is the cofactor for n=12 (http://factordb.com/index.php?id=1100000000017315254)), are there any...
 Forum: sweety439 2021-06-24, 02:29 Replies: 0 Views: 87 Posted By sweety439 Interesting properties about Mersenne(-related) exponents and Wagstaff(-related) exponents Mersenne number (Mp, 2^p-1) and Wagstaff number (Wp, (2^p+1)/3): 3 (2^2-1, both Mp and Wp primes) 5 (2^2+1, both Mp and Wp primes) 7 (2^3-1 or 4^1+3, both Mp and Wp primes) 11 (a Sophie Germain...
 Forum: Math 2021-06-24, 02:01 Replies: 26 Views: 4,123 Posted By sweety439 You can extended the table to include more terms... You can extended the table to include more terms in A122834 (https://oeis.org/A122834), now this table includes all known Mersenne exponents (A000043 (https://oeis.org/A000043)) and all known...
 Forum: sweety439 2021-06-24, 01:52 Replies: 154 Views: 14,212 Posted By sweety439 There are many conjectures related to this... There are many conjectures related to this project (find all minimal primes (start with b+1) in bases 2<=b<=1024): * Are there infinitely many Mersenne primes...
 Forum: sweety439 2021-06-23, 04:57 Replies: 154 Views: 14,212 Posted By sweety439 all b^n+-2 and b^n+-(b-1) for 2<=b<=1024 tested... all b^n+-2 and b^n+-(b-1) for 2<=b<=1024 tested to n=5000 status files attached (z means b-1, y means b-2) b^n+2 = (1000...0002) base b = 10002 b^n-2 = (zzz...zzzy) base b = zzzzy...
 Forum: FactorDB 2021-06-23, 00:38 Replies: 15 Views: 8,683 Posted By sweety439 Silvester/Euclid sequence in factordb is... Silvester/Euclid sequence in factordb is repeatedly x^2-x+1 until reaching a prime, I think the polynomial "x^2-x+1" can be generalized to any irreducible polynomial with positive leading coefficient...
 Forum: sweety439 2021-06-22, 06:35 Replies: 1,244 Views: 75,444 Posted By sweety439 S40 completed to n=5000 344,1436 ... S40 completed to n=5000 344,1436 1098,1910 1169,0 1229,0 1415,0 1600,0 2012,1299
 Forum: sweety439 2021-06-21, 00:15 Replies: 154 Views: 14,212 Posted By sweety439 Records of length in these families for various... Records of length in these families for various bases: (format: base (length)) (bases with "NB" or "RC" for given family are not counted) 1{0}1: 2 (2) 14 (3) 34 (5) 38 (>8388608) 1{0}2:
 Forum: sweety439 2021-06-20, 04:21 Replies: 154 Views: 14,212 Posted By sweety439 Searched 1{0}2 (b^n+2) and {z}y (b^n-2) (for... Searched 1{0}2 (b^n+2) and {z}y (b^n-2) (for bases 2<=b<=1024) up to n=5000 and found the (probable) primes 485^3164-2 and 487^3775-2 b^n+2 for all remain bases b<=711 and b^n-2 for all remain...
 Forum: sweety439 2021-06-20, 03:31 Replies: 1,244 Views: 75,444 Posted By sweety439 All remain k for R40 are searched to n=5000: ... All remain k for R40 are searched to n=5000: 157,0 490,2238 520,1329 534,0 618,0 709,0 739,0
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