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Forum: sweety439 2021-02-25, 01:44
Replies: 1,191
Views: 59,307
Posted By sweety439
Riesel base 165

1,5
2,2
3,3
4,1
5,2
6,86
7,1
8,1
9,9
10,2
Forum: sweety439 2021-02-25, 01:41
Replies: 1,191
Views: 59,307
Posted By sweety439
Riesel base 164

1,3
2,2
3,1


With CK=4

Conjecture proven
Forum: sweety439 2021-02-25, 01:39
Replies: 1,191
Views: 59,307
Posted By sweety439
Riesel base 163

1,7
2,84
3,20
4,2285
5,5
6,1
7,6
8,1
9,1
10,1
Forum: sweety439 2021-02-24, 23:55
Replies: 1,191
Views: 59,307
Posted By sweety439
Riesel base 162

searched to n=2000, see the text file for the status, 0 if no (probable) prime found for this k

CK=3259

Only list k == 1 mod 7 and k == 1 mod 23 since other k are already in CRUS
Forum: Miscellaneous Math 2021-02-24, 18:53
Replies: 5
Views: 118
Posted By sweety439
It is also happens for double Wagstaff numbers...

It is also happens for double Wagstaff numbers (https://mersenneforum.org/showthread.php?t=24542), W(W(p)) is composite for p = 11, 13, 17, 19, 23, 31, 61, and 79, and W(W(43)) might be prime, but...
Forum: Miscellaneous Math 2021-02-24, 18:52
Replies: 5
Views: 118
Posted By sweety439
Yes, it is conjectured there is only finitely...

Yes, it is conjectured there is only finitely many generalized Fermat primes to every base (references: http://jeppesn.dk/generalized-fermat.html, https://arxiv.org/pdf/1605.01371,...
Forum: sweety439 2021-02-24, 18:36
Replies: 1,191
Views: 59,307
Posted By sweety439
Upload pdf files for these conjectures

Upload pdf files for these conjectures
Forum: sweety439 2021-02-24, 18:29
Replies: 1,191
Views: 59,307
Posted By sweety439
Update the status of Sierpinski problems...

Update the status of Sierpinski problems (https://docs.google.com/document/d/e/2PACX-1vSQlPrWZgVM1g5spyMs_USkKy3XEGcBsadeLc82JmQVbXCOWbbcSkuHMtO_EmspQME3ITGNvoCcffZt/pub) to include the new primes...
Forum: sweety439 2021-02-24, 18:20
Replies: 1,191
Views: 59,307
Posted By sweety439
Update the status of Riesel problems...

Update the status of Riesel problems (https://docs.google.com/document/d/e/2PACX-1vReofbA92gRRhzqjKA3TKOqsukineM59WpM56LuRnbhB7bBFSYL6w-aTJ2IpJPWpiyCmPLOSE6gqDrR/pub) to include the new primes for R2...
Forum: Miscellaneous Math 2021-02-24, 18:07
Replies: 5
Views: 118
Posted By sweety439
This is double-exponent sequence, thus it is...

This is double-exponent sequence, thus it is conjectured that the number of such primes is finite, and 2^521-1 may be the largest such prime, like 65537 may be the largest Fermat prime, and 2^127-1...
Forum: sweety439 2021-02-24, 02:35
Replies: 127
Views: 11,604
Posted By sweety439
Base 40 S{Q}d family (86*40^n+37)/3 tested to...

Base 40 S{Q}d family (86*40^n+37)/3 tested to n=100000, no (probable) prime found, base released.
Forum: sweety439 2021-02-23, 12:42
Replies: 127
Views: 11,604
Posted By sweety439
See...

See https://primes.utm.edu/glossary/page.php?sort=emirp and https://oeis.org/A006567, palindromic primes are not emirps, emirps are primes whose reversal is a DIFFERENT prime.

Also, both posts...
Forum: sweety439 2021-02-22, 16:42
Replies: 127
Views: 11,604
Posted By sweety439
For the number of elements in the minimal set of...

For the number of elements in the minimal set of some sets, such as squares (1, 4, 9, 25, 36, 576, 676, 7056, 80656, 665856, 2027776, 2802276, 22282727076, 77770707876, 78807087076, 7888885568656,...
Forum: sweety439 2021-02-22, 13:49
Replies: 127
Views: 11,604
Posted By sweety439
At n=92489, no (probable) prime found.

At n=92489, no (probable) prime found.
Forum: sweety439 2021-02-22, 13:40
Replies: 127
Views: 11,604
Posted By sweety439
Minimal set of emirps in decimal: {13, 17,...

Minimal set of emirps in decimal:

{13, 17, 31, 37, 71, 73, 79, 97, 149, 199, 359, 389, 941, 953, 983, 991, 1009, 1021, 1061, 1069, 1091, 1109, 1151, 1181, 1201, 1229, 1259, 1511, 1559, 1601, 1619,...
Forum: Miscellaneous Math 2021-02-21, 15:23
Replies: 4
Views: 156
Posted By sweety439
n possible values for even perfect numbers mod...

n possible values for even perfect numbers mod n
1 0
2 0
3 0 (only for 6), 1
4 0, 2 (only for 6)
5 1, 3
6 0 (only for 6), 4
7 0 (only for 28), 1, 6
8 0, 4 (only for 28), 6...
Forum: sweety439 2021-02-21, 11:44
Replies: 127
Views: 11,604
Posted By sweety439
Reserve this family to n=100K Update sieve...

Reserve this family to n=100K

Update sieve files.
Forum: sweety439 2021-02-21, 11:34
Replies: 127
Views: 11,604
Posted By sweety439
Although some such minimal sets are not known,...

Although some such minimal sets are not known, and might be extremely difficult to found (these sets may be more difficult to found in larger bases, such as bases 17 through 64), the basic theorem of...
Forum: sweety439 2021-02-20, 21:45
Replies: 127
Views: 11,604
Posted By sweety439
Minimal set of primes in decimal: {2, 3, 5,...

Minimal set of primes in decimal:

{2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949, 9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049}

This set is...
Forum: Riesel Prime Search 2021-02-19, 19:36
Replies: 238
Views: 37,839
Posted By sweety439
The smallest known 1 million digit prime is...

The smallest known 1 million digit prime is 10^999999+593499
Forum: sweety439 2021-02-18, 15:42
Replies: 146
Views: 8,304
Posted By sweety439
The largest possible appearance for given digit d...

The largest possible appearance for given digit d in minimal prime (start with b+1) in base b: (note: the case for b=7 and b=9 are only conjectured (assume my sets for these bases are complete), not...
Forum: sweety439 2021-02-18, 11:46
Replies: 146
Views: 8,304
Posted By sweety439
Update the file of the condensed table (the...

Update the file of the condensed table (the current status for bases 2<=b<=16)
Forum: sweety439 2021-02-18, 11:42
Replies: 146
Views: 8,304
Posted By sweety439
Update the text file for solved minimal prime...

Update the text file for solved minimal prime (start with b+1) set

(Note: the set of base 7 is only conjectured, I think this set is complete but I cannot prove it, and I tried to find more primes...
Forum: Factoring 2021-02-18, 11:31
Replies: 423
Views: 53,573
Posted By sweety439
Is there any interest of HPn(4) for larger base...

Is there any interest of HPn(4) for larger base n?

What is the smallest base such that the status of HP(4) is unknown?
Forum: sweety439 2021-02-17, 14:42
Replies: 146
Views: 8,304
Posted By sweety439
If the Sierpinski...

If the Sierpinski (http://www.noprimeleftbehind.net/crus/Sierp-conjectures.htm)/Riesel (http://www.noprimeleftbehind.net/crus/Riesel-conjectures.htm) CK for base b is <b (see...
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