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Forum: sweety439 2021-10-06, 23:52
Replies: 188
Views: 19,508
Posted By sweety439
New minimal prime (start with b+1) in base b is...

New minimal prime (start with b+1) in base b is found for b=908: 8(0^243438)1, see post https://mersenneforum.org/showpost.php?p=589662&postcount=992

File...
Forum: FactorDB 2021-10-06, 19:05
Replies: 430
Views: 74,336
Posted By sweety439
Well, the prime (243^1400*241+1)/242 is found by...

Well, the prime (243^1400*241+1)/242 is found by me, in the process of finding the smallest prime of the form (b^n*(b-2)+1)/(b-1) with n>=2 and fixed base 3<=b<=1024, see the column "{y}z" in...
Forum: sweety439 2021-10-05, 12:07
Replies: 188
Views: 19,508
Posted By sweety439
No, base 32 family 8{0}V has covering set {3, 5,...

No, base 32 family 8{0}V has covering set {3, 5, 41}, thus can be ruled out as only contain composite numbers.
Forum: sweety439 2021-10-02, 17:52
Replies: 188
Views: 19,508
Posted By sweety439
PARI/GP program of this problem attached (not...

PARI/GP program of this problem attached (not completely done, continue updating ....)

Note: in this program, vector [a,b,[c],d,e] means simple family ab{c}de = abccc...cccde, and vector...
Forum: Marin's Mersenne-aries 2021-10-01, 14:09
Replies: 132
Views: 8,763
Posted By sweety439
Now we have verified that A279095...

Now we have verified that A279095 (https://oeis.org/A279095)(29) = 1996040, since neither 57747433 nor 57773081 is == 1 mod 29, thus 57885161 is proven to be the smallest prime p == 1 mod 29 such...
Forum: sweety439 2021-10-01, 12:53
Replies: 1,250
Views: 81,485
Posted By sweety439
The top proven conjectures...

The top proven conjectures (http://www.noprimeleftbehind.net/crus/vstats_new/crus-proven.htm) are all related to perfect powers (https://oeis.org/A001597) (i.e. either k or b is perfect power):
...
Forum: sweety439 2021-09-28, 07:04
Replies: 134
Views: 18,498
Posted By sweety439
Newest status for the unsolved families in base...

Newest status for the unsolved families in base 31:

(probable) primes found:


E8{U}P: prime at length 21869 (the prime is 443*31^21867-6)
IE{L}: prime at length 29789 (the prime is...
Forum: And now for something completely different 2021-09-27, 03:41
Replies: 10
Views: 831
Posted By sweety439
It is also conjectured that this is also true for...

It is also conjectured that this is also true for every (a*b^n+c)/gcd(a+c,b-1) (a>=1, b>=2, c != 0, gcd(a,c) = 1, gcd(b,c) = 1) form which cannot be proven as only contain composites or only contain...
Forum: LaurV 2021-09-27, 03:33
Replies: 22
Views: 6,929
Posted By sweety439
Are there new terms found, or newer search...

Are there new terms found, or newer search limits?

https://oeis.org/A119591/a119591_1.txt
Forum: sweety439 2021-09-26, 03:38
Replies: 36
Views: 4,904
Posted By sweety439
program files updated

program files updated
Forum: sweety439 2021-09-26, 03:35
Replies: 36
Views: 4,904
Posted By sweety439
The readme text files for these programs

The readme text files for these programs
Forum: sweety439 2021-09-23, 08:02
Replies: 1,250
Views: 81,485
Posted By sweety439
Formulas: CRUS Riesel problems: k*b^n-1 ...

Formulas:

CRUS Riesel problems: k*b^n-1
Riesel problems in this project: (k*b^n-1)/gcd(k-1,b-1)
CRUS Sierpinski problems: k*b^n+1
Sierpinski problems in this project: (k*b^n+1)/gcd(k+1,b-1)
Forum: sweety439 2021-09-23, 07:58
Replies: 1,250
Views: 81,485
Posted By sweety439
The CK for bases b<=2500 and b=2^r with r<=16:...

The CK for bases b<=2500 and b=2^r with r<=16: Riesel (https://raw.githubusercontent.com/xayahrainie4793/Extended-Sierpinski-Riesel-conjectures/master/Riesel%20CK%20for%20bases%20up%20to%202048.txt)...
Forum: sweety439 2021-09-23, 07:28
Replies: 392
Views: 27,377
Posted By sweety439
When I input this file (with "digraph") to...

When I input this file (with "digraph") to Graphviz, it turns off, this file may be too big.
Forum: sweety439 2021-09-22, 20:04
Replies: 188
Views: 19,508
Posted By sweety439
You can help me to completely solve bases 7, 9,...

You can help me to completely solve bases 7, 9, and 11 through 36, I think that my data for base 7 is complete, but I cannot prove this.
Forum: sweety439 2021-09-22, 20:00
Replies: 188
Views: 19,508
Posted By sweety439
I have a conjecture in my article: every x{y}z...

I have a conjecture in my article: every x{y}z (i.e. xyyy...yyyz) simple family in every base b (the algebraic form is (a*b^n+c)/gcd(a+c,b-1) with fixed integers a>=1, b>=2, c != 0, gcd(a,c) = 1,...
Forum: sweety439 2021-09-20, 18:54
Replies: 188
Views: 19,508
Posted By sweety439
upload the text file for the proof for bases 2,...

upload the text file for the proof for bases 2, 3, 4, 5, 6, 8, 10, 12
Forum: sweety439 2021-09-20, 15:52
Replies: 188
Views: 19,508
Posted By sweety439
I have a project: To find and proof all minimal...

I have a project: To find and proof all minimal primes (start with b+1) in bases 2<=b<=36, this text file is the current data, only bases 2, 3, 4, 5, 6, 8, 10, 12 were solved.

You can see my...
Forum: sweety439 2021-09-20, 03:10
Replies: 188
Views: 19,508
Posted By sweety439
Newest condensed table for bases 2<=b<=16: ...

Newest condensed table for bases 2<=b<=16:


b number of minimal primes base b base-b form of largest known minimal prime base b length of largest known minimal prime base b algebraic ((a*bn+c)/d)...
Forum: sweety439 2021-09-18, 18:16
Replies: 392
Views: 27,377
Posted By sweety439
larger data for reduced classes, up to p=150000

larger data for reduced classes, up to p=150000
Forum: sweety439 2021-09-18, 17:59
Replies: 392
Views: 27,377
Posted By sweety439
reduced the classes of primes: ...

reduced the classes of primes:

left/right-truncatable primes: the single digit number not need to be prime
minimal primes: may contain primes <= base as subsequence
permutable/circular primes:...
Forum: sweety439 2021-09-18, 16:59
Replies: 392
Views: 27,377
Posted By sweety439
larger data, up to p=150000

larger data, up to p=150000
Forum: sweety439 2021-09-18, 16:13
Replies: 392
Views: 27,377
Posted By sweety439
Related: https://oeis.org/A016026 (least base...

Related: https://oeis.org/A016026 (least base such that n is palindromic), https://oeis.org/A065437 (least base such that p is palindromic prime), https://oeis.org/A059711 (least base such that n is...
Forum: Riesel Prime Search 2021-09-15, 07:15
Replies: 277
Views: 49,063
Posted By sweety439
https://primes.utm.edu/primes/status.php id...

https://primes.utm.edu/primes/status.php

id 132704 and 132705 are palindromes.
Forum: sweety439 2021-09-11, 03:24
Replies: 392
Views: 27,377
Posted By sweety439
Reference: Mersenne-Fermat primes...

Reference: Mersenne-Fermat primes (https://archive.ph/20120529014233/http://staff.spd.dcu.ie/johnbcos/fermat6.htm), we can also consider generalized Mersenne-Fermat primes base b, the generalized...
Showing results 1 to 25 of 1000

 
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