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Forum: sweety439 2021-09-26, 03:38
Replies: 36
Views: 4,594
Posted By sweety439
program files updated

program files updated
Forum: sweety439 2021-09-26, 03:35
Replies: 36
Views: 4,594
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: 1,249
Views: 79,846
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: 1,249
Views: 79,846
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: 26,542
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: 185
Views: 18,006
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: 185
Views: 18,006
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: 185
Views: 18,006
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: 185
Views: 18,006
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: 185
Views: 18,006
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: 26,542
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: 26,542
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: 26,542
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: 26,542
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: 273
Views: 47,349
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: 26,542
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...
Forum: sweety439 2021-09-11, 03:18
Replies: 392
Views: 26,542
Posted By sweety439
List of generalized Saouter primes (i.e. primes...

List of generalized Saouter primes (i.e. primes of the form (b^(2*3^n)+b^(3^n)+1)/gcd(b-1,3)) in bases 2<=b<=1024

Compare: List of generalized Fermat primes (i.e. primes of the form...
Forum: sweety439 2021-09-10, 05:37
Replies: 185
Views: 18,006
Posted By sweety439
Newest data (minimal primes (start with b+1) up...

Newest data (minimal primes (start with b+1) up to certain limit) for bases b=17 and b=18
Forum: Aliquot Sequences 2021-09-10, 05:28
Replies: 11
Views: 9,925
Posted By sweety439
All strong infinity-touchable numbers are...

All strong infinity-touchable numbers are infinity-touchable, since for all nonnegative integers n, there are only finitely many positive integers m such that s(m)=n (and the largest such m is at...
Forum: Factoring 2021-09-10, 00:33
Replies: 427
Views: 74,301
Posted By sweety439
For HP(4), the smallest unsolved base is 13: ...

For HP(4), the smallest unsolved base is 13:


2,31
3,67
4,37
5,457
6,79
7,368543395659524076221303587
8,14029
Forum: Factoring 2021-09-09, 23:43
Replies: 427
Views: 74,301
Posted By sweety439
Here is the PARI/GP code, can calculate home...

Here is the PARI/GP code, can calculate home prime for all bases b>=2, just type "home(n,b)" to find the home prime for integer n in base b


step(n,b)=my(f=factor(n), v=[]); for(i=1, #f~,...
Forum: Aliquot Sequences 2021-09-09, 02:48
Replies: 11
Views: 9,925
Posted By sweety439
We define "strong infinity-touchable number" as...

We define "strong infinity-touchable number" as nonnegative integer n such that there exist infinitely many nonnegative integers whose Aliquot sequences reach n

e.g. all nonnegative integers <52...
Forum: Aliquot Sequences 2021-09-09, 02:47
Replies: 103
Views: 4,334
Posted By sweety439
There are amicable pairs which cannot be reached...

There are amicable pairs which cannot be reached by any aliquot sequence starting from a number that does not belong to this pair, they are listed in the OEIS sequence A238382...
Forum: sweety439 2021-09-08, 05:55
Replies: 185
Views: 18,006
Posted By sweety439
Some unsolved families are obvious through data...

Some unsolved families are obvious through data for minimal primes (start with b+1) base b up to certain limit (https://en.wikiversity.org/wiki/Quasi-minimal_prime)

Example 1: 80555551 is minimal...
Forum: sweety439 2021-09-08, 04:40
Replies: 392
Views: 26,542
Posted By sweety439
For the newest status for thread...

For the newest status for thread https://mersenneforum.org/showthread.php?t=10354
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