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 Showing results 1 to 25 of 1000 Search took 0.21 seconds. Search: Posts Made By: sweety439
 Forum: sweety439 2020-09-28, 14:45 Replies: 1,003 Views: 32,281 Posted By sweety439 Also, there are many reservations for bases > 128... Also, there are many reservations for bases > 128 (except 256, 512, 1024) or k's > CK: Primes 78557
 Forum: sweety439 2020-09-28, 14:27 Replies: 1,003 Views: 32,281 Posted By sweety439 Reservations for the Sierpinski/Riesel problems: ... Reservations for the Sierpinski/Riesel problems: S2, all k except 65536: PrimeGrid's Seventeen or Bust (http://www.primegrid.com/forum_thread.php?id=1647) (status...
 Forum: sweety439 2020-09-28, 14:07 Replies: 1,003 Views: 32,281 Posted By sweety439 The CK for S66 is known to be 21314443 (I have... The CK for S66 is known to be 21314443 (I have checked it, no k<21314443 have covering set) The CK for S120, R66, R120 are still running ....
 Forum: sweety439 2020-09-28, 02:40 Replies: 1,003 Views: 32,281 Posted By sweety439 For k = 4, 64, 324, 1024, 2500, 5184, 9604,... For k = 4, 64, 324, 1024, 2500, 5184, 9604, 16384, 26244, 40000, 58564, 82944, 114244, 153664, 202500, 262144, ... (i.e. k is of the form 4*m^4): * All n for all 4th-power bases have algebra...
 Forum: sweety439 2020-09-28, 02:16 Replies: 1,003 Views: 32,281 Posted By sweety439 Update newest file for Sierpinski problems... Update newest file for Sierpinski problems (https://docs.google.com/document/d/e/2PACX-1vQVukcERAlTzkaLL-22PTrOWY0PHGu6EH0KApDxL4gi-8CWia-e2Wa3MKHrpj3dDCkUCYQivzG5VkVm/pub) to include the newest test...
 Forum: sweety439 2020-09-28, 01:55 Replies: 1,003 Views: 32,281 Posted By sweety439 The test limit of GFN's and half GFN's: base... The test limit of GFN's and half GFN's: base 2: According to http://www.prothsearch.com/fermat.html, the first numbers n>=5 such that 2^(2^n)+1 might be primes are 33, 34, 35, 40, 41, 44, 45,...
 Forum: sweety439 2020-09-25, 10:27 Replies: 1,003 Views: 32,281 Posted By sweety439 Status for 2<=b<=128 and 1<=k<=128: ... Status for 2<=b<=128 and 1<=k<=128: Sierpinski (https://en.wikipedia.org/w/index.php?title=Wikipedia:Sandbox&oldid=980224043) Riesel...
 Forum: sweety439 2020-09-24, 07:23 Replies: 1,003 Views: 32,281 Posted By sweety439 Sierpinski conjectures and proofs... Sierpinski conjectures and proofs (https://docs.google.com/document/d/e/2PACX-1vQPjYgjFaa0W5koDtgCNeP6y9GerLvxD1L79zfDv4U1-ah4eLG9KWg5yR5nPa3MK3F4yfMpCV9458Wi/pub) Riesel conjectures and proofs...
 Forum: sweety439 2020-09-24, 01:02 Replies: 1,003 Views: 32,281 Posted By sweety439 Conjectured smallest Sierpinski k for bases... Conjectured smallest Sierpinski k for bases 2<=b<=2500: (NA if >5000000) b,CK 2,78557 3,11047 4,419 5,7 6,174308 7,209
 Forum: sweety439 2020-09-24, 01:01 Replies: 1,003 Views: 32,281 Posted By sweety439 Conjectured smallest Riesel k for bases... Conjectured smallest Riesel k for bases 2<=b<=2500: (NA if >5000000) b,CK 2,509203 3,12119 4,361 5,13 6,84687 7,457
 Forum: sweety439 2020-09-24, 00:32 Replies: 1,003 Views: 32,281 Posted By sweety439 Sierpinski k=8: b = 128 has no possible prime Sierpinski k=8: b = 128 has no possible prime
 Forum: sweety439 2020-09-24, 00:32 Replies: 1,003 Views: 32,281 Posted By sweety439 proven to be composite for all n by partial... proven to be composite for all n by partial algebraic factors: Riesel k=1: (none) Riesel k=2: (none) Riesel k=3: (none) Riesel k=4: b == 4 mod 5 Riesel k=5: (none) Riesel k=6: b = 6*m^2 with...
 Forum: sweety439 2020-09-24, 00:27 Replies: 1,003 Views: 32,281 Posted By sweety439 proven to be composite for all n (or only be... proven to be composite for all n (or only be prime for very small n) by all algebraic factors: Riesel k=1: b = m^r with r>1 Riesel k=2: (none) Riesel k=3: (none) Riesel k=4: b = m^2 Riesel...
 Forum: sweety439 2020-09-23, 23:38 Replies: 1,003 Views: 32,281 Posted By sweety439 proven to be composite by covering set: ... proven to be composite by covering set: Riesel k=1: (none) Riesel k=2: (none) Riesel k=3: (none) Riesel k=4: b == 14 mod 15 Riesel k=5: b == 11 mod 12 Riesel k=6: b == 34 mod 35 Riesel k=7:...
 Forum: sweety439 2020-09-23, 23:13 Replies: 1,003 Views: 32,281 Posted By sweety439 Riesel k=9: {107, 207, 237, 325, 347, 378, 438,... Riesel k=9: {107, 207, 237, 325, 347, 378, 438, 483, 536, 566, 570, 592, 636, 688, 705, 711, 718, 823, 830, 835, 852, 893, 907, 926, 927, 995, 1010} (totally 27 bases) Riesel k=10: {80, 233, 262,...
 Forum: sweety439 2020-09-23, 21:16 Replies: 1,003 Views: 32,281 Posted By sweety439 Riesel k=5: {31, 117, 181, 338, 411, 429, 489,... Riesel k=5: {31, 117, 181, 338, 411, 429, 489, 499, 535, 581, 583, 631, 717, 757, 998} (totally 15 bases) Riesel k=6: {234, 412, 549, 553, 573, 619, 750, 878, 894, 954, 986} (totally 11 bases)...
 Forum: sweety439 2020-09-23, 20:02 Replies: 1,003 Views: 32,281 Posted By sweety439 See... See https://github.com/xayahrainie4793/Sierpinski-Riesel-for-fixed-k-and-variable-base for the status of 1<=k<=12 and 2<=b<=1024, all searched to n>=6000 (n>=100000 for gcd(k+-1,b-1) (+ for...
 Forum: sweety439 2020-09-23, 01:42 Replies: 11 Views: 1,588 Posted By sweety439 Problem: For given integer triple (k,b,c), k>=1,... Problem: For given integer triple (k,b,c), k>=1, b>=2, c != 0, gcd(k,c)=1, gcd(b,c)=1, find the smallest possible value for bigomega((k*b^n+c)/gcd(k+c,b-1)), where n is integer >=1
 Forum: sweety439 2020-09-22, 22:56 Replies: 1,003 Views: 32,281 Posted By sweety439 Conjecture: For integer triple (k,b,c), k>=1,... Conjecture: For integer triple (k,b,c), k>=1, b>=2, c != 0, gcd(k,c)=1, gcd(b,c)=1, there is a prime of the form (k*b^n+c)/gcd(k+c,b-1) with integer n>=1 if and only if (k*b^n+c)/gcd(k+c,b-1) has no...
 Forum: Cunningham Tables 2020-09-22, 22:48 Replies: 12 Views: 1,987 Posted By sweety439 10, 323- still not be started to factor (see... 10, 323- still not be started to factor (see https://homes.cerias.purdue.edu/~ssw/cun/who.txt), however, 10, 323- is the third most wanted number in...
 Forum: sweety439 2020-09-22, 22:42 Replies: 1,003 Views: 32,281 Posted By sweety439 R88 have more such examples, see post... R88 have more such examples, see post https://mersenneforum.org/showpost.php?p=196598&postcount=486
 Forum: sweety439 2020-09-22, 20:52 Replies: 1,003 Views: 32,281 Posted By sweety439 Riesel case: (k*b^n-1)/gcd(k-1,b-1) Sierpinski... Riesel case: (k*b^n-1)/gcd(k-1,b-1) Sierpinski case: (k*b^n+1)/gcd(k+1,b-1) If k is not rational power of b, then: * In Riesel case, (k*b^n-1)/gcd(k-1,b-1) has algebra factors if and only if...
 Forum: sweety439 2020-09-20, 22:12 Replies: 1,003 Views: 32,281 Posted By sweety439 For Riesel base b, a k-value has algebra factors... For Riesel base b, a k-value has algebra factors if and only if there exists n such that k*b^n is perfect power For Sierpinski base b, a k-value has algebra factors if and only if there exists n...
 Forum: sweety439 2020-09-20, 22:11 Replies: 1,003 Views: 32,281 Posted By sweety439 For R40, these remain k's have algebra factors: ... For R40, these remain k's have algebra factors: * k=490 (=square*base/4), all odd n are algebraic * k=11560 (=289*base, 289 itself was eliminated at n=1), all odd n are algebraic * k=12250...
 Forum: sweety439 2020-09-18, 20:38 Replies: 1,003 Views: 32,281 Posted By sweety439 k = 676: since 676 is square, all even n... k = 676: since 676 is square, all even n have algebra factors, and we only want to know whether it has a covering set of primes for all odd n, if so, then this k makes a full covering set with...
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