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 2020-12-02, 18:52 #23 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 1100011111112 Posts Last fiddled with by sweety439 on 2021-03-07 at 08:05
 2020-12-04, 20:54 #24 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 7·457 Posts
 2020-12-24, 16:53 #25 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 1100011111112 Posts Last fiddled with by sweety439 on 2021-06-27 at 09:22
2020-12-24, 17:13   #26
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

7·457 Posts

Quote:
 Originally Posted by sweety439 Links for new mersenne conjecture: https://primes.utm.edu/mersenne/NewM...onjecture.html http://www.primenumbers.net/rl/nmc/
Other known prime factors of MMn, MWn, WMn, WWn:

MMn:

2: prime
3: prime
5: prime
7: prime
13: 338193759479, 210206826754181103207028761697008013415622289
17: 231733529, 64296354767
19: 62914441, 5746991873407, 2106734551102073202633922471, 824271579602877114508714150039, 65997004087015989956123720407169
31: 295257526626031, 87054709261955177, 242557615644693265201, 178021379228511215367151
61: unknown
89: unknown
107: unknown
127: unknown

WMn:

2: prime
3: prime
5: prime
7: prime
13: unknown (but known to be composite)
17: 2883563
19: unknown (but known to be composite)
31: unknown
61: 1328165573307087715777
89: unknown
107: unknown
127: 886407410000361345663448535540258622490179142922169401

WWn:

3: prime
5: prime
7: prime
11: 1676083, 26955961001 (cofactor is prime)
13: 67399191280564009798331, 2252735939855296339250682011
17: 349529
19: 173085275201
23: 129469791307, 36992613766212121
31: 3838477063804290331
43: unknown
61: 3290547117383710719111443
79: 183756724581423634555339057, 101874969893105185923314913883
101: unknown
127: unknown

compare with status of factors of Fermat numbers and Mersenne numbers (related links: factors of Mersenne numbers + 2 and Double Mersenne numbers)

conjecture: MMn, WMn, WWn is prime only for primes n<=7

Last fiddled with by sweety439 on 2021-06-02 at 06:20

2020-12-24, 17:20   #27
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

7·457 Posts

Quote:
 Originally Posted by sweety439 Other known prime factors of MMn, MWn, WMn, WWn: MMn: 2: prime 3: prime 5: prime 7: prime 13: 338193759479, 210206826754181103207028761697008013415622289 17: 231733529, 64296354767 19: 62914441, 5746991873407, 2106734551102073202633922471, 824271579602877114508714150039, 65997004087015989956123720407169 31: 295257526626031, 87054709261955177, 242557615644693265201, 178021379228511215367151 61: unknown 89: unknown 107: unknown 127: unknown WMn: 2: prime 3: prime 5: prime 7: prime 13: unknown (but known to be composite) 17: 2883563 19: unknown (but known to be composite) 31: unknown 61: 1328165573307087715777 89: unknown 107: unknown 127: 886407410000361345663448535540258622490179142922169401 WWn: 3: prime 5: prime 7: prime 11: 1676083, 26955961001 (cofactor is prime) 13: 67399191280564009798331, 2252735939855296339250682011 17: 349529 19: 173085275201 23: 129469791307, 36992613766212121 31: 3838477063804290331 43: unknown 61: 3290547117383710719111443 79: 183756724581423634555339057, 101874969893105185923314913883 101: unknown 127: unknown compare with status of factors of Fermat numbers and Mersenne numbers conjecture: MMn, WMn, WWn is prime only for primes n<=7

Last fiddled with by sweety439 on 2020-12-24 at 17:22

 2020-12-25, 00:57 #28 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 7·457 Posts Last fiddled with by sweety439 on 2021-07-05 at 21:20
 2020-12-25, 01:23 #29 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 7·457 Posts Links of factorization of many types of numbers: b^n+-1 (b<=12) Fibonacci numbers and Lucas numbers Fermat numbers Generalized Fermat numbers n!+-1
 2020-12-25, 01:23 #30 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 319910 Posts
 2021-01-09, 10:23 #31 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 7×457 Posts Primes of the form k*2^n+1 (Proth primes): http://www.prothsearch.com/riesel1.html (k<=300) http://www.prothsearch.com/riesel1a.html (301<=k<=600) http://www.prothsearch.com/riesel1b.html (601<=k<=900) http://www.prothsearch.com/riesel1c.html (901<=k<=1200) https://www.rieselprime.de/ziki/Proth_prime_table (all available k values) https://www.rieselprime.de/default.htm (many ranges of k values) https://primes.utm.edu/top20/page.php?id=66 (top 20 page) Primes of the form k*2^n-1 (Proth primes of the second kind): http://www.prothsearch.com/riesel2.html (k<=300) http://www.noprimeleftbehind.net/gar...kx2n-1-001.htm (k<=300) http://www.noprimeleftbehind.net/gar...mes-ranges.htm http://www.15k.org/riesellist.html (k<=300) http://www.15k.org/Summary00300.htm (301<=k<=2000) http://www.15k.org/Summary02000.htm (2001<=k<=4000) http://www.15k.org/Summary04000.htm (4001<=k<=6000) http://www.15k.org/Summary06000.htm (6001<=k<=8000) http://www.15k.org/Summary08000.htm (8001<=k<=10000) https://www.rieselprime.de/ziki/Riesel_prime (many ranges of k values) https://www.rieselprime.de/default.htm (many ranges of k values) Primes of the form k*b^k+1 (generalized Cullen primes): http://www.prothsearch.net/cullen.html (broken link: from wayback machine cached copy) (b=2) http://guenter.loeh.name/gc/status.html (3<=b<=100) https://harvey563.tripod.com/GClist.txt (101<=b<=10000) http://www.primzahlenarchiv.de/index.html (broken link: from wayback machine cached copy) (101<=b<=200) http://www.primzahlenarchiv.de/news.html (broken link: from wayback machine cached copy) (101<=b<=200) http://www.primzahlenarchiv.de/status.html (broken link: from wayback machine cached copy) (101<=b<=200) https://www.rieselprime.de/ziki/Gen_Cullen_prime_table (all available bases b) http://www.primegrid.com/forum_thread.php?id=7073 (primegrid search page) http://www.primegrid.com/stats_cullen_llr.php (primegrid status page, b=2) http://www.primegrid.com/stats_gcw_llr.php (primegrid status page, b>=3) https://primes.utm.edu/top20/page.php?id=6 (top 20 page, b=2) https://primes.utm.edu/top20/page.php?id=42 (top 20 page, b>=3) Primes of the form k*b^k-1 (generalized Woodall primes): http://www.prothsearch.net/woodall.html (broken link: from wayback machine cached copy) (b=2) https://harvey563.tripod.com/GWlist.txt (3<=b<=10000) https://harvey563.tripod.com/General...dallPrimes.txt (3<=b<=10000) http://science.kennesaw.edu/~jdemaio/generali.htm (broken link: from wayback machine cached copy) (3<=b<=100) https://www.rieselprime.de/ziki/Gen_Woodall_prime_table (all available bases b) http://www.primegrid.com/forum_thread.php?id=7073 (primegrid search page) http://www.primegrid.com/stats_woodall_llr.php (primegrid status page, b=2) http://www.primegrid.com/stats_gcw_llr.php (primegrid status page, b>=3) https://primes.utm.edu/top20/page.php?id=7 (top 20 page, b=2) https://primes.utm.edu/top20/page.php?id=45 (top 20 page, b>=3) Sophie Germain primes of the form k*2^n-1 and k*2^(n+1)-1: https://www.rieselprime.de/Related/RieselTwinSG.htm https://www.primepuzzles.net/problems/prob_049.htm https://www.rieselprime.de/ziki/Cate...Sophie_Germain (k values without known Sophie Germain primes, including the k values with no possible Sophie Germain primes) https://primes.utm.edu/top20/page.php?id=2 (top 20 page) https://primes.utm.edu/top20/page.php?id=19 (top 20 page) Sophie Germain primes of the second kind of the form k*2^n+1 and k*2^(n+1)+1: https://harvey563.tripod.com/cunninghams.txt https://www.primepuzzles.net/problems/prob_049.htm https://primes.utm.edu/top20/page.php?id=20 (top 20 page) Twin primes of the form k*2^n+-1: https://www.rieselprime.de/Related/RieselTwinSG.htm http://www.noprimeleftbehind.net/gary/twins100K.htm http://www.noprimeleftbehind.net/gary/twins1M.htm https://www.primepuzzles.net/problems/prob_049.htm https://www.rieselprime.de/ziki/Cate...e_without_twin (k values without known twin primes, including the k values with no possible twin primes) https://primes.utm.edu/top20/page.php?id=1 (top 20 page) Index pages of these references: http://www.prothsearch.com/ http://www.15k.org/ http://guenter.loeh.name/ https://harvey563.tripod.com/ https://www.primepuzzles.net/ http://www.noprimeleftbehind.net/gary/ https://www.rieselprime.de/Related/ https://www.rieselprime.de/default.htm https://www.rieselprime.de/ziki/Main_Page https://primes.utm.edu/top20/home.php Last fiddled with by sweety439 on 2021-11-23 at 18:07
 2021-01-09, 13:31 #32 sweety439     "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 7·457 Posts Last fiddled with by sweety439 on 2021-01-09 at 13:32
 2021-01-09, 17:34 #33 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 23·1,279 Posts Only the top link in the last post is needed. And rather than endlessly adding new posts, it might do well to compile these into a single pdf and attach it to the first post. Then you can update it once every week or 2 once you find more things. It will save us all from following your explorations of the internet in real time.

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