Link for primes collect

[sweety439]

1. http://www.noprimeleftbehind.net/crus/
2. http://harvey563.tripod.com/
3. http://guenter.loeh.name/gc/status.html
4. http://www.fermatquotient.com/
5. https://www.rieselprime.de/Related/RieselTwinSG.htm
6. http://www.rieselprime.de/Related/LiskovetsGallot.htm
7. http://www.noprimeleftbehind.net/Car...ime-search.htm
8. http://www.noprimeleftbehind.net/gar...es-kx10n-1.htm
9. http://www.prothsearch.com/
10. https://primes.utm.edu/primes/
11. http://www.primenumbers.net/prptop/prptop.php
12. https://homes.cerias.purdue.edu/~ssw/cun/index.html
13. https://stdkmd.net/nrr/
14. https://github.com/curtisbright/mepn-data
15. https://github.com/RaymondDevillers/primes
16. http://primegrid.com/
17. http://jeppesn.dk/generalized-fermat.html
18. http://yves.gallot.pagesperso-orange.fr/primes/
19. http://www.fermatsearch.org/
20. https://www.rose-hulman.edu/~rickert/Compositeseq/
21. http://www.worldofnumbers.com/Append...s%20to%20n.txt
22. http://www.primenumbers.net/Henri/us/
23. https://members.loria.fr/PZimmermann...andidates.html
24. https://www.rieselprime.de/ziki/Main_Page
25. http://factordb.com/

[sweety439]

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

[sweety439]

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

[sweety439]

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...rp-excerpt.txt

Some pdf files:

1. http://www.kurims.kyoto-u.ac.jp/EMIS...rs/i61/i61.pdf

2. https://scholar.rose-hulman.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...-0427213-2.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

[sweety439]

26. https://oeis.org/
27. https://www.primepuzzles.net/
28. http://myfactors.mooo.com/
29. http://www.numericana.com/answer/pseudo.htm
30. https://mathworld.wolfram.com/
31. http://www.asahi-net.or.jp/~KC2H-MSM...tha1/index.htm
32. https://www.numberempire.com/primenumbers.php
33. http://www.maths.surrey.ac.uk/hosted...nacci/fib.html
34. https://planetmath.org/tableoffactor...ersennenumbers
35. https://www-users.cs.york.ac.uk/susa...m/mersenne.htm
36. https://www.mersenne.ca/prp.php
37. http://bitman.name/math/
38. http://www.javascripter.net/math/cal...ntfunction.htm
39. http://www.bluetulip.org/2014/programs/primitive.html
40. https://www.numbersaplenty.com/
41. https://primes.utm.edu/
42. https://primes.utm.edu/prove/index.html
43. https://primes.utm.edu/notes/faq/
44. https://primes.utm.edu/glossary/
45. https://primes.utm.edu/notes/by_year.html
46. https://primes.utm.edu/curios/
47. https://primes.utm.edu/curios/includes/primetest.php
48. https://primes.utm.edu/notes/proofs/
49. https://primes.utm.edu/top20/
50. https://primes.utm.edu/primes/lists/all.txt

[sweety439]

A link of generalized repunit primes (achieved):

https://web.archive.org/web/20021001...ads/index.html (cached copy)

List of generalized repunit proven primes >= 100 decimal digits (cached copy)

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

[sweety439]

Links for left-truncatable primes:

http://chesswanks.com/num/LTPs/
http://www.primerecords.dk/left-truncatable.htm
https://rosettacode.org/wiki/Find_la...n_a_given_base

Links for right-truncatable primes:

http://fatphil.org/maths/rtp/rtp.html
https://codegolf.meta.stackexchange....es/17229#17229
https://hlma.math.cuhk.edu.hk/wp-con...ea1b2408fa.pdf

Links for minimal primes:

https://cs.uwaterloo.ca/~cbright/reports/mepn.pdf
https://scholar.colorado.edu/downloads/hh63sw661
https://cs.uwaterloo.ca/~cbright/tal...mal-slides.pdf

My GitHub page for these three types of primes (in bases 2 to 160):

https://github.com/xayahrainie4793/m...catable-primes

[sweety439]

Link for factorization of Fibonacci/Lucas numbers: http://mersennus.net/fibonacci//

[sweety439]

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

[sweety439]

GIMPS main page (factorization of Mersenne numbers): https://www.mersenne.org/

[sweety439]

Mersenne prime

Cullen number

Woodall number

Carol number

Kynea number

Williams number

Wieferich prime

Wall-Sun-Sun prime

Wilson prime

repunit

permutable prime

circular prime

minimal prime

truncatable prime

weakly prime