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Forum: sweety439 2020-08-08, 07:00
Replies: 934
Views: 27,916
Posted By sweety439
The records of the n are: (GFNs and half GFNs are...

The records of the n are: (GFNs and half GFNs are excluded)

S2:

3 (1)
7 (2)
12 (3)
19 (6)
31 (8)
47 (583)
Forum: sweety439 2020-08-08, 06:36
Replies: 934
Views: 27,916
Posted By sweety439
Status for 2<=b<=128 and 1<=k<=128: ...

Status for 2<=b<=128 and 1<=k<=128:

Sierpinski (https://en.wikipedia.org/w/index.php?title=Wikipedia:Sandbox&oldid=969796463) (k*b^n+1)/gcd(k+1,b-1)

Riesel...
Forum: sweety439 2020-08-08, 06:30
Replies: 934
Views: 27,916
Posted By sweety439
This b must be >=2, and the b=2 case is the...

This b must be >=2, and the b=2 case is the original Sierpinski/Riesel problems, this project extend these Sierpinski/Riesel problems to bases b>2
Forum: sweety439 2020-08-07, 16:01
Replies: 934
Views: 27,916
Posted By sweety439
k's with algebra factors for Sierpinski/Riesel...

k's with algebra factors for Sierpinski/Riesel base b=2^n with 9<=n<=16:

S512: all k = m^3
S1024: all k = m^5
S2048: all k = m^11
S4096: all k = m^3 and all k = 4*m^4
S8192: all k = m^13...
Forum: Conjectures 'R Us 2020-08-07, 15:52
Replies: 125
Views: 14,515
Posted By sweety439
There are pages shown the status (including the...

There are pages shown the status (including the test limit) for the conjectures of (k*b^n+-1)/gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) with bases 2<=b<=128 and b=256, 512, 1024

Sierpinski...
Forum: Conjectures 'R Us 2020-08-07, 15:47
Replies: 125
Views: 14,515
Posted By sweety439
OK, but see the GitHub page...

OK, but see the GitHub page https://github.com/xayahrainie4793/first-4-Sierpinski-Riesel-conjectures, there are too many "NA" in these files, however I an give you the test limit for some bases:
...
Forum: sweety439 2020-08-06, 12:34
Replies: 934
Views: 27,916
Posted By sweety439
Update files to include SR100, SR512, SR1024 ...

Update files to include SR100, SR512, SR1024

the (probable) prime (469*100^4451-1)/gcd(469-1,100-1) is given by https://stdkmd.net/nrr/prime/primedifficulty.txt (the form 521w)

Also see the...
Forum: Conjectures 'R Us 2020-08-06, 08:28
Replies: 125
Views: 14,515
Posted By sweety439
These are the status for the first 4 conjectures...

These are the status for the first 4 conjectures for SR32 and SR128 (I only update the power-of-2 bases here, since they are more interesting, for more SR bases, see the files in post...
Forum: sweety439 2020-08-06, 08:25
Replies: 934
Views: 27,916
Posted By sweety439
Status for the first 4 Sierpinski/Riesel...

Status for the first 4 Sierpinski/Riesel conjectures (added R100 and R512, R1024 is still running .... now running for k=91)
Forum: sweety439 2020-08-06, 06:43
Replies: 934
Views: 27,916
Posted By sweety439
Using the Riesel side as an example: 1. n...

Using the Riesel side as an example:

1. n must be >= 1 for all k

2. If (k*b^n-1)/gcd(kb-1,b-1) where n=1 is prime than k*b (i.e. MOB) will need a different prime because this prime would be...
Forum: sweety439 2020-08-06, 04:03
Replies: 934
Views: 27,916
Posted By sweety439
These are the conjectured first 4...

These are the conjectured first 4 Sierpinski/Riesel numbers, for the power-of-2 bases searched up to b=2^16
Forum: sweety439 2020-08-06, 03:44
Replies: 934
Views: 27,916
Posted By sweety439
All Sierpinski/Riesel bases listed "NA" have CK >...

All Sierpinski/Riesel bases listed "NA" have CK > 5M (i.e. 5M is the lower bound for these Sierpinski/Riesel bases)

upper bounds for these Sierpinski/Riesel bases <= 600:

S66: 21314443 (if not...
Forum: sweety439 2020-08-06, 03:25
Replies: 934
Views: 27,916
Posted By sweety439
searched to base 256 (also base 512, 1024, 2048,...

searched to base 256 (also base 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536)
Forum: sweety439 2020-08-05, 03:41
Replies: 934
Views: 27,916
Posted By sweety439
These are the conjectures in the thread...

These are the conjectures in the thread https://mersenneforum.org/showthread.php?t=11061 (conjectured smallest prime Sierpinski/Riesel numbers), for the extended Sierpinski/Riesel conjectures...
Forum: Conjectures 'R Us 2020-08-05, 00:11
Replies: 6
Views: 2,303
Posted By sweety439
Found more CK: Prime Sierpinski: ...

Found more CK:

Prime Sierpinski:


b,CK
2,271129
4,271129
6,282001
8,47
Forum: Riesel Prime Search 2020-08-04, 23:52
Replies: 27
Views: 4,880
Posted By sweety439
Also see post...

Also see post https://mersenneforum.org/showpost.php?p=138737&postcount=24, some forms like 25*12^n-1 and 144*19^n-1 have zero weight.

25*12^n-1:

for even n let n = 2*q; factors to:
...
Forum: Riesel Prime Search 2020-08-04, 23:48
Replies: 27
Views: 4,880
Posted By sweety439
See page...

See page https://www.rieselprime.de/ziki/Riesel_k%3D1-300, 9*2^n-1 has Nash weight 1674, and 25*2^n-1 has Nash weight 1571
Forum: sweety439 2020-08-03, 23:47
Replies: 934
Views: 27,916
Posted By sweety439
Also, (for Riesel k=64) Bases 235, 748,...

Also, (for Riesel k=64)

Bases 235, 748, 1261, 1774, 2287, 2800, 3313, 3826, 4339, 4852, 5365, 5878, 6391, 6904, 7417, 7930, 8443, 8956, 9469, 9982, ...: n == 1 mod 3: factor of 3, n == 2 mod 3:...
Forum: Conjectures 'R Us 2020-07-31, 05:26
Replies: 125
Views: 14,515
Posted By sweety439
Remain k's: S8: 256 (GFN, at...

Remain k's:

S8: 256 (GFN, at n=(2^33-8)/3-1), 370 (extended, corresponding number should be divided by 7 to get a prime since 370*8^n+1 has trivial factor of 7, at n=10K), 467 (at n=833333 due to...
Forum: sweety439 2020-07-31, 05:12
Replies: 934
Views: 27,916
Posted By sweety439
The reason for why S8 k=27, S16 k=4, R4 k=1, R8...

The reason for why S8 k=27, S16 k=4, R4 k=1, R8 k=1, R16 k=1, R27 k=1, R36 k=1 are excluded from the conjectures is the same as the reason for why in CRUS conjectures, R12 k=1, R14 k=1, R18 k=1, R20...
Forum: Conjectures 'R Us 2020-07-30, 15:30
Replies: 125
Views: 14,515
Posted By sweety439
Update the status file for: SR8, R9: k<=1024...

Update the status file for:

SR8, R9: k<=1024
S12: k<=1143 (the 3rd CK)
R12: k<=1288 (the 3rd CK)

SR8 skipped the cube k's and the k's having covering set {3, 5, 13} (i.e. for S8, k == 47, 79,...
Forum: sweety439 2020-07-30, 14:54
Replies: 934
Views: 27,916
Posted By sweety439
Extended Sierpinski problem base b: Finding...

Extended Sierpinski problem base b:

Finding and proving the smallest k>=1 such that (k*b^n+1)/gcd(k+1,b-1) is not prime for all integers n>=1. (k-values that make a full covering set with all or...
Forum: Conjectures 'R Us 2020-07-28, 22:25
Replies: 125
Views: 14,515
Posted By sweety439
R9 k=386 and 744 tested to n=25K, no primes...

R9 k=386 and 744 tested to n=25K, no primes found, see post https://mersenneforum.org/showpost.php?p=490301&postcount=663

S12 k<1143 (3rd CK) tested to 25K, see...
Forum: Prime Wiki 2020-07-28, 17:10
Replies: 197
Sticky: Prime-Wiki
Views: 14,378
Posted By sweety439
In Riesel prime 5110664609396115...

In Riesel prime 5110664609396115 (https://www.rieselprime.de/ziki/Riesel_prime_5110664609396115), n=143 is also Sophie Germain (not only n=34944 and 34945)
Done.
Forum: sweety439 2020-07-28, 12:54
Replies: 934
Views: 27,916
Posted By sweety439
Update all primes for R102 and some primes for S80

Update all primes for R102 and some primes for S80
Showing results 1 to 25 of 1000

 
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