20201031, 03:36  #2 
Nov 2016
3^{4}·31 Posts 
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^n1 with n>=b1 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^x1 * 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)^n1 with n>=1 and bases 2<=b<=2048 * Primes of the form (b^n+1)^22 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^p1)/(b1) 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)^pb^p with prime p for 1<=b<=160 * Primes p such that n^p1 == 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^n1 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 
20201031, 03:45  #3 
Nov 2016
100111001111_{2} Posts 
GitHub Pages for the smallest n>=1 such that (k*b^n+1)/gcd(k+1,b1) 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 
20201031, 23:14  #4 
Nov 2016
4717_{8} Posts 
Links for the dual Sierpinski problem:
* https://oeis.org/A076336/a076336c.html * https://mersenneforum.org/showthread.php?t=10761 * http://www.mit.edu/~kenta/three/prim...rpexcerpt.txt Some pdf files: 1. http://www.kurims.kyotou.ac.jp/EMIS...rs/i61/i61.pdf 2. https://scholar.rosehulman.edu/cgi/...&context=rhumj 3. https://www.utm.edu/staff/caldwell/preprints/2to100.pdf 4. https://cs.uwaterloo.ca/~cbright/reports/mepn.pdf 5. https://www.ams.org/journals/mcom/19...04272132.pdf 6. http://chesswanks.com/num/LTPs/ 7. https://oeis.org/A028491/a028491.pdf 8. http://emis.impa.br/EMIS/journals/JI...NER/dubner.pdf Sierpinski conjectures Riesel conjectures 
20201104, 01:10  #5 
Nov 2016
3^{4}·31 Posts 
Another link for righttruncatable primes: http://fatphil.org/maths/rtp/rtp.html

20201106, 12:07  #6 
Nov 2016
3^{4}×31 Posts 
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 20201106 at 12:08 
20201108, 11:18  #7  
Nov 2016
4717_{8} Posts 
Quote:


20201108, 13:45  #8 
Nov 2016
2511_{10} Posts 
Link for factorization of Fibonacci/Lucas numbers: http://mersennus.net/fibonacci//

20201108, 13:50  #9 
Nov 2016
3^{4}·31 Posts 
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

20201108, 14:02  #10 
Nov 2016
100111001111_{2} Posts 
GIMPS main page (factorization of Mersenne numbers): https://www.mersenne.org/

20201109, 16:35  #11 
Nov 2016
4717_{8} Posts 

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