mersenneforum.org  

Go Back   mersenneforum.org > Search Forums

Showing results 1 to 25 of 1000
Search took 0.21 seconds.
Search: Posts Made By: sweety439
Forum: sweety439 2020-10-22, 14:59
Replies: 1,069
Views: 35,503
Posted By sweety439
For the Riesel bases 2<=b<=128 and b = 256, 512,...

For the Riesel bases 2<=b<=128 and b = 256, 512, 1024:

proven: 4, 5, 7 (with PRP), 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 29, 32, 34, 35, 37, 38, 39, 41, 44, 45, 47, 49,...
Forum: sweety439 2020-10-22, 14:48
Replies: 1,069
Views: 35,503
Posted By sweety439
For the Sierpinski bases 2<=b<=128 and b = 256,...

For the Sierpinski bases 2<=b<=128 and b = 256, 512, 1024:

proven: 4, 5, 7, 8, 9, 11, 13, 14, 16, 17, 19, 20, 21, 23, 27, 29, 34, 35, 39, 41, 43, 44, 45, 47, 49, 51, 54, 56, 57, 59, 61, 64, 65,...
Forum: Conjectures 'R Us 2020-10-22, 07:52
Replies: 17
Views: 1,666
Posted By sweety439
Is srsieve2 updated? If so, can you use it to...

Is srsieve2 updated? If so, can you use it to reserve the S3 problem in Sierpinski conjectures and proofs...
Forum: Cunningham Tables 2020-10-22, 06:36
Replies: 188
Views: 20,053
Posted By sweety439
Why 10^371+-1 are factored earlier than...

Why 10^371+-1 are factored earlier than 10^365+-1? eulerphi(371) = 312 > 288 = eulerphi(365)
Forum: sweety439 2020-10-21, 17:15
Replies: 43
Views: 4,170
Posted By sweety439
Although the test limit of all families in...

Although the test limit of all families in https://github.com/RaymondDevillers/primes are all 10K, but some families are in fact already tested to much higher....

Base 25:

EF{O}, 366*25^n-1:...
Forum: sweety439 2020-10-21, 16:06
Replies: 43
Views: 4,170
Posted By sweety439
Some minimal (probable) primes with bases...

Some minimal (probable) primes with bases 28<=b<=50 not shown in https://github.com/RaymondDevillers/primes: (and hence some unsolved families can be removed)

Base 37: (families FY{a} and R8{a}...
Forum: Five or Bust - The Dual Sierpinski Problem 2020-10-21, 15:37
Replies: 90
Views: 85,847
Posted By sweety439
2^unknown+79309 2^9+79817 2^42210+91549 (PRP)...

2^unknown+79309
2^9+79817
2^42210+91549 (PRP)
2^394+131179
2^21+152267
2^1032+156511
2^57+163187
2^1038+200749
2^44+202705
2^16+209611
Forum: sweety439 2020-10-20, 16:26
Replies: 43
Views: 4,170
Posted By sweety439
The "minimal prime problem" is solved only in...

The "minimal prime problem" is solved only in bases 2~16, 18, 20, 22~24, 30, 42, and maybe 60


b, length of largest minimal prime base b, number of minimal primes base b
2, 2, 2
3, 3, 3
4, 2,...
Forum: sweety439 2020-10-20, 15:49
Replies: 43
Views: 4,170
Posted By sweety439
Base 27: 8{0}9A: 5832*27^n+253 999{G}:...

Base 27:

8{0}9A: 5832*27^n+253
999{G}: (88577*27^n-8)/13
C{L}E: (8991*27^n-203)/26
E{I}F8: (139239*27^n-1192)/13
{F}9FM: (295245*27^n-113557)/26

Base 48:
Forum: Prime Wiki 2020-10-20, 14:11
Replies: 214
Sticky: Prime-Wiki
Views: 19,579
Posted By sweety439
4*230^n+1 at n=1M with no prime found...

4*230^n+1 at n=1M with no prime found (https://mersenneforum.org/showpost.php?p=560395&postcount=852)
Forum: sweety439 2020-10-20, 13:31
Replies: 43
Views: 4,170
Posted By sweety439
Base 25: F{O}KO: 9375*25^n+524 FO{K}O:...

Base 25:

F{O}KO: 9375*25^n+524
FO{K}O: (56375*25^n+19)/6
LO{L}8: (109975*25^n-111)/8 [need not to be searched if a smaller prime for the "O{L}8: (4975*25^n-111)/8" family were found]
M{1}F1:...
Forum: sweety439 2020-10-20, 12:48
Replies: 43
Views: 4,170
Posted By sweety439
Base 35: 6W{P}4: (288855*35^n-739)/34 [need...

Base 35:

6W{P}4: (288855*35^n-739)/34 [need not to be searched if a smaller prime for the "W{P}4: (38955*35^n-739)/34" family were found]
F8{0}F9: 652925*35^n+534
{Y}PO: 1225*35^n-326
FQ{F}I:...
Forum: sweety439 2020-10-20, 12:35
Replies: 43
Views: 4,170
Posted By sweety439
Base 31: ILE{L}: (179637*31^n-7)/10 [need...

Base 31:

ILE{L}: (179637*31^n-7)/10 [need not to be searched if a smaller prime for the "IE{L}: (5727*31^n-7)/10" family were found]
L{F}G: (1333*31^n+1)/2 [need not to be searched if a smaller...
Forum: Five or Bust - The Dual Sierpinski Problem 2020-10-20, 12:09
Replies: 90
Views: 85,847
Posted By sweety439
For the dual Sierpinski problem for...

For the dual Sierpinski problem for 78557<k<271129, I found that 2^42210+91549 is (probable) prime, but I cannot find a (probable) prime for 2^n+79309, can someone find it?
Forum: sweety439 2020-10-19, 15:47
Replies: 1,069
Views: 35,503
Posted By sweety439
At n=26544, found a new (probable) prime:...

At n=26544, found a new (probable) prime: (376*70^24952-1)/3
Forum: sweety439 2020-10-19, 15:45
Replies: 2
757
Views: 66
Posted By sweety439
757

757 is irregular prime
757 is de Polignac number (cannot be written as 2^n+p with prime p)
757 is the smallest prime p such that 1/p has period length 3^3 (in decimal)
The smallest n such that...
Forum: sweety439 2020-10-18, 13:39
Replies: 43
Views: 4,170
Posted By sweety439
Unsolved families: Base 17: F1{9}:...

Unsolved families:

Base 17:

F1{9}: (4105*17^n-9)/16

Base 19:

EE1{6}: (15964*19^n-1)/3
Forum: Lounge 2020-10-18, 10:25
Replies: 30
Views: 3,313
Posted By sweety439
There is a problem, the minimal set of the...

There is a problem, the minimal set of the strings for primes with at least two digits in base b:

https://primes.utm.edu/glossary/page.php?sort=MinimalPrime

In 1996, Jeffrey Shallit [Shallit96]...
Forum: And now for something completely different 2020-10-18, 09:25
Replies: 10
Views: 2,160
Posted By sweety439
https://oeis.org/A085398/b085398_2.txt

https://oeis.org/A085398/b085398_2.txt
Forum: Prime Wiki 2020-10-18, 09:00
Replies: 214
Sticky: Prime-Wiki
Views: 19,579
Posted By sweety439
80*81^5394+1, the second Williams MP prime base...

80*81^5394+1, the second Williams MP prime base 81 (the first is 80*81^1+1)

Done for 80*3^n+1 instead.
Forum: sweety439 2020-10-18, 07:20
Replies: 1,069
Views: 35,503
Posted By sweety439
Also all k-values such that numerator(k*b^n+-1)...

Also all k-values such that numerator(k*b^n+-1) (+ for Sierpinski, - for Riesel) divides (b-1)*b^r for some (positive or negative or 0) integer n and (positive or 0) integer r
Forum: sweety439 2020-10-18, 07:17
Replies: 1,069
Views: 35,503
Posted By sweety439
This also including all k-values such that k+-1...

This also including all k-values such that k+-1 (+ for Sierpinski, - for Riesel) divides (b-1)*b^r for some r
Forum: sweety439 2020-10-18, 02:54
Replies: 1,069
Views: 35,503
Posted By sweety439
No other (probable) primes found for R70 k = 376,...

No other (probable) primes found for R70 k = 376, 496, 811 up to n=22813
Forum: sweety439 2020-10-17, 09:38
Replies: 1
Views: 53
Posted By sweety439
M5 = 31, M7 = 127, W5 = 11, W7 = 43 It is...

M5 = 31, M7 = 127, W5 = 11, W7 = 43

It is known that MM5, MM7, WW5, WW7 are primes

However, MMM5 and WWW5 are both known to be composite

Two open problems: Is MMM7 prime? Is WWW7 prime?

I...
Forum: sweety439 2020-10-17, 06:55
Replies: 1
Views: 53
Posted By sweety439
Some notable smallest repunit/nexus prime

Let

a(b) = Smallest prime p such that the generalized repunit number (b^p-1)/(b-1) is prime
b(p) = Smallest base b such that the generalized repunit number (b^p-1)/(b-1) is prime
c(b) = Smallest...
Showing results 1 to 25 of 1000

 
All times are UTC. The time now is 12:23.

Fri Oct 23 12:23:58 UTC 2020 up 43 days, 9:34, 0 users, load averages: 1.15, 1.37, 1.37

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.