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Forum: Conjectures 'R Us 2020-12-21, 12:38
Replies: 31
Views: 12,908
Posted By sweety439
5^50669+31712 is PRP!!! (35417 digits, to small...

5^50669+31712 is PRP!!! (35417 digits, to small for the PRP top (http://www.primenumbers.net/prptop/prptop.php))

Thus, the "mixed Sierpinski conjecture base 5" is now a theorem, in the weak case...
Forum: Conjectures 'R Us 2020-09-17, 17:12
Replies: 31
Views: 12,908
Posted By sweety439
Also, 31^5-55758 is prime, thus the mixed Riesel...

Also, 31^5-55758 is prime, thus the mixed Riesel conjecture base 31 is also a theorem.

For the S37 case, 37^1+94, 37^5+1272, and 37^2+2224 are primes, thus the mixed Sierpinski conjecture base 37...
Forum: Conjectures 'R Us 2020-09-17, 16:55
Replies: 31
Views: 12,908
Posted By sweety439
The mixed Sierpinski/Riesel conjectures for prime bases

This project is from the article http://www.kurims.kyoto-u.ac.jp/EMIS/journals/INTEGERS/papers/i61/i61.pdf, this article is about the mixed Sierpinski (base 2) theorem, which is that for every odd...
Forum: Conjectures 'R Us 2020-07-25, 20:16
Replies: 31
Views: 12,908
Posted By sweety439
Found the conjectured smallest Sierpinski/Riesel...

Found the conjectured smallest Sierpinski/Riesel numbers for bases <= 2500

* Only the k's with covering set are considered as Sierpinski/Riesel numbers, k-values that make a full covering set with...
Forum: Conjectures 'R Us 2020-07-21, 15:17
Replies: 31
Views: 12,908
Posted By sweety439
currently R36 (with CK=33791) at n=10K, with...

currently R36 (with CK=33791) at n=10K, with these k's remain: {1148, 1555, 2110, 2133, 3699, 4551, 4737, 6236, 6883, 7253, 7362, 7399, 7991, 8250, 8361, 8363, 8472, 9491, 9582, 11014, 12320, 12653,...
Forum: Conjectures 'R Us 2020-07-21, 15:01
Replies: 31
Views: 12,908
Posted By sweety439
okay, I used srsieve for R36, sieved k*36^n-1...

okay, I used srsieve for R36, sieved k*36^n-1 start with p=11 (to p=10^8) for these 193 k's (which remain at n=1000): {251, 260, 924, 1148, 1356, 1555, 1923, 2110, 2133, 2443, 2753, 2776, 3181, 3590,...
Forum: Conjectures 'R Us 2020-07-21, 03:49
Replies: 31
Views: 12,908
Posted By sweety439
In fact, for Sierpinski/Riesel base b, we can use...

In fact, for Sierpinski/Riesel base b, we can use srsieve to sieve the sequence k*b^n+-1 for primes p not dividing b-1 (since gcd(k*b^n+-1,b-1) = gcd(k+-1,b-1) for all n), and initialized the list of...
Forum: Conjectures 'R Us 2020-07-21, 03:28
Replies: 31
Views: 12,908
Posted By sweety439
No, it just have to > all prime factors of...

No, it just have to > all prime factors of gcd(k+-1,b-1), thus we can sieve start with p=5 (the gcd is 6, thus we should not sieve the primes 2 and 3), like the case of R36...
Forum: Conjectures 'R Us 2020-07-21, 03:23
Replies: 31
Views: 12,908
Posted By sweety439
The divisor of k*b^n+-1 (+ for Sierp, - for...

The divisor of k*b^n+-1 (+ for Sierp, - for Riesel) is always gcd(k+-1,b-1) (+ for Sierp, - for Riesel) (see post https://mersenneforum.org/showpost.php?p=458700&postcount=230), since gcd(k+-1,b-1)...
Forum: Conjectures 'R Us 2020-07-18, 23:54
Replies: 31
Views: 12,908
Posted By sweety439
Well, you said these conjectures would have to...

Well, you said these conjectures would have to have multiple and separate sieves done (see your post https://mersenneforum.org/showpost.php?p=458776&postcount=243), however, you can we use srsieve to...
Forum: Conjectures 'R Us 2020-07-08, 16:27
Replies: 31
Views: 12,908
Posted By sweety439
There is no known twin prime for some even k...

There is no known twin prime for some even k divisible by 3, e.g. k=312 (since all n must be >=1)
Forum: Conjectures 'R Us 2020-05-27, 04:26
Replies: 31
Views: 12,908
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: Conjectures 'R Us 2020-05-17, 15:15
Replies: 31
Views: 12,908
Posted By sweety439
You have the twin prime (k*2^n-1 and k*2^n+1) and...

You have the twin prime (k*2^n-1 and k*2^n+1) and Riesel primes for two consecutive n (k*2^n-1 and k*2^(n+1)-1), but no Proth primes for two consecutive n (k*2^n+1 and k*2^(n+1)+1), can you add the...
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