20201223, 21:46  #1179 
Nov 2016
2,819 Posts 
We can use the sense of http://www.iakovlev.org/zip/riesel2.pdf to conclude that (k*b^n+c)/gcd(k+c,b1) (k>=1, b>=2, c != 0, gcd(k,c) = 1, gcd(b,c) = 1) eventually should yield a prime, when it does not have primes for small n>=1
We should find the n's such that (k*b^n+c)/gcd(k+c,b1) does not have small prime factors (and the znorder of b mod its prime factors are also not small), nor has algebra factors (i.e. k*b^n and c are both rth powers for some r>1, or k*b^n*c is of the form 4*m^4) Last fiddled with by sweety439 on 20201223 at 21:52 
20201227, 19:47  #1180 
Nov 2016
5403_{8} Posts 
Update pdf files for the Sierpinski/Riesel conjectures
Last fiddled with by sweety439 on 20210215 at 16:00 
20201228, 02:00  #1181 
Nov 2016
2,819 Posts 
Update newest status text file for R/S 40

20201229, 12:11  #1182 
Nov 2016
5403_{8} Posts 
Riesel base 2021 is proven!!! With CK=13, see https://github.com/xayahrainie4793/E...0to%202048.txt
Code:
k,n 1,67 2,1048 3,1773 4,3 5,140 6,2 7,117 8,2 9,1 10,269 11,14 12,1 
20201229, 14:44  #1183 
Mar 2006
Germany
101101001010_{2} Posts 
So you got your own definition of GCD?
In the first post reads (for Riesel side): (k*b^n1)/gcd(k1, b1) b=2021, k=1, n=67 (from table above) GCD for k=1 in the above formula is undefined and so (1*2021^671)/2020 is prime but do not correlates to your definiton of the problem and the definition of GCD. 
20201230, 01:27  #1184  
Nov 2016
2819_{10} Posts 
Quote:


20210224, 18:20  #1185 
Nov 2016
2,819 Posts 
Update the status of Riesel problems to include the new primes for R2 and new test limits for R2, R6 (k=1597), R108 (k = 5351, 6528, 13162)
Last fiddled with by sweety439 on 20210224 at 18:31 
20210224, 18:29  #1186 
Nov 2016
2,819 Posts 
Update the status of Sierpinski problems to include the new primes for S80 (all k except k=947), S81, S108 (k=20543) and the new test limits for S2, S80 (all k except k=947), S81, S97
Last fiddled with by sweety439 on 20210224 at 18:32 
20210224, 18:36  #1187 
Nov 2016
B03_{16} Posts 
Last fiddled with by sweety439 on 20210415 at 06:35 
20210224, 23:55  #1188  
Nov 2016
2,819 Posts 
Riesel base 162
Quote:
CK=3259 Only list k == 1 mod 7 and k == 1 mod 23 since other k are already in CRUS 

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