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Forum: sweety439 2020-05-30, 15:32
Replies: 778
Views: 21,883
Posted By sweety439
Currently status for R36: k n 251 ...

Currently status for R36:


k n
251 1504
260 1315
924 2126
1148
1356 1230
1555
Forum: sweety439 2020-05-30, 15:26
Replies: 778
Views: 21,883
Posted By sweety439
R36 searched to n=10K file attached.

R36 searched to n=10K

file attached.
Forum: And now for something completely different 2020-05-30, 15:22
Replies: 247
Views: 20,831
Posted By sweety439
There are also smaller base without a Carol...

There are also smaller base without a Carol prime:

640, 702, 738, 832, 866, 928, 938, 942, 950, 964, 992, 1032, 1068, 1108, 1132, 1152, 1188, ...
Forum: And now for something completely different 2020-05-30, 14:02
Replies: 42
Views: 5,232
Posted By sweety439
Are there any factorization status for Phi(n,2)...

Are there any factorization status for Phi(n,2) for n<=2^16

e.g. for n=3005, the factorization status for Phi(n,2) is


385549595471 (12 digits) * 13122095873179566186720736445243053751 (38...
Forum: And now for something completely different 2020-05-30, 13:58
Replies: 42
Views: 5,232
Posted By sweety439
The thread seems to be "factorization of Phi(n,2)...

The thread seems to be "factorization of Phi(n,2) for very large n", e.g. 2 ยท 10859^87905 + 1 is a factor of Phi(n,2) for n=10859^87905

Also, Phi(n,2) is completely factored for all n<=1206
Forum: And now for something completely different 2020-05-30, 13:57
Replies: 42
Views: 5,232
Posted By sweety439
All odd prime p divides Phi(n,2) for an integer...

All odd prime p divides Phi(n,2) for an integer n, in fact, n = ord_p(2)


p, n
3, 2
5, 4
7, 3
11, 10
13, 12
17, 8
Forum: sweety439 2020-05-29, 18:06
Replies: 355
Views: 9,016
Posted By sweety439
Fixed the program.

Fixed the program.
Forum: sweety439 2020-05-29, 18:03
Replies: 355
Views: 9,016
Posted By sweety439
Update my program of unique primes.

Update my program of unique primes.
Forum: Conjectures 'R Us 2020-05-28, 09:54
Replies: 40
Views: 2,438
Posted By sweety439
Found the CK for bases 2049-2200, 0 if the CK is...

Found the CK for bases 2049-2200, 0 if the CK is > 5M, now I am finding them.
Forum: sweety439 2020-05-27, 15:31
Replies: 778
Views: 21,883
Posted By sweety439
A large probable prime n can be proven to be...

A large probable prime n can be proven to be prime if and only if at least one of n-1 and n+1 can be trivially written into a product.

Thus, if n is large, a probable prime...
Forum: sweety439 2020-05-27, 15:28
Replies: 778
Views: 21,883
Posted By sweety439
In this case, although (k*b^n+1)/gcd(k+1,b-1) has...

In this case, although (k*b^n+1)/gcd(k+1,b-1) has neither covering set nor algebra factors, but this form still cannot have a prime, thus this case is also excluded in the conjectures. (this...
Forum: sweety439 2020-05-27, 15:27
Replies: 778
Views: 21,883
Posted By sweety439
Conjecture 1 (the strong Sierpinski conjecture):...

Conjecture 1 (the strong Sierpinski conjecture): For b>=2, k>=1, if there is an n such that:

(1) k*b^n is neither a perfect odd power (i.e. k*b^n is not of the form m^r with odd r>1) nor of the...
Forum: sweety439 2020-05-27, 15:26
Replies: 778
Views: 21,883
Posted By sweety439
If there is an r>1 such that both k and b are...

If there is an r>1 such that both k and b are perfect r-th powers, then this k should be excluded from the Riesel base b problem. Besides, if there is an odd r>1 such that both k and b are perfect...
Forum: sweety439 2020-05-27, 15:08
Replies: 778
Views: 21,883
Posted By sweety439
In Riesel conjectures, if k=m^2 and m and b...

In Riesel conjectures, if k=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even n and it...
Forum: sweety439 2020-05-27, 15:06
Replies: 778
Views: 21,883
Posted By sweety439
These are the CK for Sierpinski/Riesel bases...

These are the CK for Sierpinski/Riesel bases 2<=b<=2048 (searched up to 10^6)
Forum: sweety439 2020-05-27, 15:03
Replies: 778
Views: 21,883
Posted By sweety439
Extended Sierpinski problem: Finding and...

Extended Sierpinski problem:

Finding and proving the smallest k such that (k*b^n+1)/gcd(k+1,b-1) is not prime for all integers n>=1.

Extended Riesel problem:

Finding and proving the smallest...
Forum: sweety439 2020-05-27, 14:56
Replies: 778
Views: 21,883
Posted By sweety439
In Riesel conjectures, if k=m^2 and m and b...

In Riesel conjectures, if k=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even n and it...
Forum: sweety439 2020-05-27, 14:47
Replies: 778
Views: 21,883
Posted By sweety439
In Riesel conjectures, if k=m^2 or k*b=m^2 and m...

In Riesel conjectures, if k=m^2 or k*b=m^2 and m and b satisfy at least one of these conditions, then this k should be excluded from the Riesel base b problem, since it has algebraic factors for even...
Forum: sweety439 2020-05-27, 13:52
Replies: 778
Views: 21,883
Posted By sweety439
Primality proof certifate: ...

Primality proof certifate:

(1*51^4229-1)/gcd(1-1,51-1): http://factordb.com/cert.php?id=1100000000467236538

(1*91^4421-1)/gcd(1-1,91-1): http://factordb.com/cert.php?id=1100000000651917018
Forum: sweety439 2020-05-27, 13:49
Replies: 778
Views: 21,883
Posted By sweety439
R96 has 176 k's remain for k not in CRUS: ...

R96 has 176 k's remain for k not in CRUS:

{431, 591, 701, 831, 872, 956, 1006, 1126, 1648, 1681, 1810, 2036, 2386, 2424, 2878, 3001, 3431, 3461, 3671, 3856, 3881, 3956, 3996, 4261, 4351, 4366,...
Forum: sweety439 2020-05-27, 13:48
Replies: 778
Views: 21,883
Posted By sweety439
R96 has 176 k's remain, I forgot to remove the...

R96 has 176 k's remain, I forgot to remove the k's that are proven composite by partial algebraic factors, except 484

Also, (1*51^4229-1)/gcd(1-1,51-1) and (1*91^4421-1)/gcd(1-1,91-1) are now...
Forum: sweety439 2020-05-27, 04:54
Replies: 778
Views: 21,883
Posted By sweety439
There are many k's that are prove composite by...

There are many k's that are prove composite by partial algebra factors for Riesel bases:

In addition to having full algebraic factors on k's and bases that are perfect squares, there are k's that...
Forum: Conjectures 'R Us 2020-05-27, 04:26
Replies: 4
Views: 154
Posted By sweety439
This page is only for the twin case and the...

This page is only for the twin case and the Riesel case, for the Sierpinski case, see http://harvey563.tripod.com/cunninghams.txt

An interesting one is k=279, there is no known twin prime (k*2^n-1...
Forum: Prime Wiki 2020-05-27, 04:19
Replies: 163
Sticky: Prime-Wiki
Views: 11,057
Posted By sweety439
Williams prime PM table...

Williams prime PM table (https://www.rieselprime.de/ziki/Williams_prime_PM_table) does not show the primes for bases 64, 128, 256, and 512

Done.
Forum: sweety439 2020-05-26, 15:44
Replies: 778
Views: 21,883
Posted By sweety439
corrected the size of the exponent "n" ...

corrected the size of the exponent "n"

https://docs.google.com/document/d/e/2PACX-1vTo6WpQlMUirkqiTRqGa_XrCO1JpZHKk2gNR5cVp06vojJWzF9Z7KhF1oDb9bzK1_r_JmuSz1bAZiey/pub
Showing results 1 to 25 of 1000

 
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