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Old 2020-10-31, 03:36   #2
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Link 1:

* Smallest prime of the form k*b^n+-1 with n>=1 for bases 2<=b<=1030 and k<CK

Link 2:

* Primes of the form n*b^n-1 with n>=b-1 for bases 3<=b<=10000
* Primes of the form n*b^n+1 with n>=1 for bases 101<=b<=10000
* Primes of the form x^y*y^x+1
* Primes of the form x^y*y^x-1
* Primes of the form (n+-1)*b^n+-1 with n>=1 for bases 2<=b<=128
* Primes of the form (x^y+-1)*y^+-1 with x=2 or y=2
* Primes of the form b*(b+1)^n-1 with n>=1 and bases 2<=b<=2048
* Primes of the form (b^n+-1)^2-2 with n>=1 and bases b = 2, 6, 10, 14, 22, 204
* Numbers n such that k*2^n+1 and k*2^(n+1)+1 are both primes

Link 3:

* Primes of the form n*b^n+1 with n>=1 for bases 3<=b<=100

Link 4:

* Primes of the form (b^p-1)/(b-1) with prime p for 2<=b<=160
* Primes of the form (b^p+1)/(b+1) with odd prime p for 2<=b<=160
* Primes of the form (b+1)^p-b^p with prime p for 1<=b<=160
* Primes p such that n^p-1 == 1 mod p^2 for 2<=n<=10125

Link 5:

* Numbers n such that k*2^n+-1 are both primes
* Numbers n such that k*2^n-1 and k*2^(n+1)-1 are both primes

Link 6:

* Smallest prime of the form k*2^n+-1 with even/odd n>=1 for k<CK
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Old 2020-10-31, 03:45   #3
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GitHub Pages for the smallest n>=1 such that (k*b^n+-1)/gcd(k+-1,b-1) created by me:

k<CK, b<=128 or 256, 512, 1024

k<=1024, b<=32 or b = 64, 128, 256

k<4th CK, b<=64 (except 2, 3, 6, 15, 22, 24, 28, 30, 36, 40, 42, 46, 48, 52, 58, 60, 63) or b = 100, 128, 256, 512, 1024

k<=12, b<=1024
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Old 2020-11-04, 01:10   #5
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Another link for right-truncatable primes: http://fatphil.org/maths/rtp/rtp.html
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Old 2020-11-06, 12:07   #6
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A link of generalized repunit primes (achieved):

https://web.archive.org/web/20021001...ads/index.html

List of generalized repunit proven primes >= 100 decimal digits

List of generalized repunit (probable) primes bases 2 to 999

Last fiddled with by sweety439 on 2020-11-06 at 12:08
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Old 2020-11-08, 11:18   #7
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Quote:
Originally Posted by sweety439 View Post
Another link for right-truncatable primes: http://fatphil.org/maths/rtp/rtp.html
Another link for left-truncatable primes: http://chesswanks.com/num/LTPs/
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Old 2020-11-08, 13:45   #8
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Link for factorization of Fibonacci/Lucas numbers: http://mersennus.net/fibonacci//
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Old 2020-11-08, 13:50   #9
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https://brnikat.com/nums/: factorization of Homogeneous Cunninghams numbers (a^n+-b^n) and generalized Cullen/Woodall numbers (n*b^n+-1) and n!+-1
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Old 2020-11-08, 14:02   #10
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GIMPS main page (factorization of Mersenne numbers): https://www.mersenne.org/
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