Forum: Math
2022-05-13, 20:32
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Replies: 0
Views: 238
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Forum: And now for something completely different
2022-04-30, 21:23
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Replies: 6
Views: 289
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Forum: And now for something completely different
2022-04-30, 19:39
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Replies: 6
Views: 289
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Forum: And now for something completely different
2022-04-30, 16:12
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Replies: 6
Views: 289
Primes of the form ((p^p)%p#)/p
Have these kinds of prime numbers been studied ?
I found nothing on factordb and OEIS.
I use the % for the modulo operation and # for the primorial numbers.
I used PFGW and I found these...
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Forum: Dobri
2022-04-20, 10:57
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Replies: 27
Views: 1,965
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Forum: Dobri
2022-04-20, 08:44
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Replies: 27
Views: 1,965
Like Mersenne composites, it seems than p == 3...
Like Mersenne composites, it seems than p == 3 (mod 4) and 6*p+1 = 27a^2+16b^2 should be the two condition for 6p+1 divides Wagstaff numbers (2^p+1)/3. (7, 47, 83, 107, 263, 271 ...) The sequence...
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Forum: Dobri
2022-04-20, 07:54
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Replies: 27
Views: 1,965
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Forum: Dobri
2022-04-20, 07:18
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Replies: 27
Views: 1,965
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Forum: Dobri
2022-04-19, 18:48
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Replies: 27
Views: 1,965
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Forum: Dobri
2022-04-18, 16:41
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Replies: 27
Views: 1,965
Thanks for your answer.
By the way, do you...
Thanks for your answer.
By the way, do you know the condition for example 6*p+1 or 10*p+1 divides 2^p-1 ?
I know the condition for 2*p+1 but I have no idea for these two for example.
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Forum: Dobri
2022-04-18, 16:15
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Replies: 27
Views: 1,965
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Forum: Math
2021-12-11, 16:40
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Replies: 22
Views: 3,210
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Forum: Math
2021-12-11, 16:12
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Replies: 22
Views: 3,210
Sure sorry I will edit.
I don't know if...
Sure sorry I will edit.
I don't know if "probable primality test" exists by the way :)
Nevermind it exists.
So when a prime is found by some primality test with no proof for the primality...
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Forum: Math
2021-12-11, 15:58
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Replies: 22
Views: 3,210
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Forum: Math
2021-12-10, 10:08
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Replies: 22
Views: 3,210
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Forum: Miscellaneous Math
2021-12-08, 13:26
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Replies: 10
Views: 584
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Forum: Miscellaneous Math
2021-12-07, 17:50
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Replies: 10
Views: 584
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Forum: Miscellaneous Math
2021-12-05, 23:47
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Replies: 10
Views: 584
With this formula, I haven't the Carmichael...
With this formula, I haven't the Carmichael numbers at least the 8911 one
T(q)={Wq=557*2^q-1;S0=2^557;S=S0;print("q= ",q);for(i=1,q-1,S=Mod(S^2,Wq));if(S==2,print("prime"))}
For the Riesel...
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Forum: Miscellaneous Math
2021-12-05, 22:22
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Replies: 10
Views: 584
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Forum: Miscellaneous Math
2021-12-05, 22:06
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Replies: 10
Views: 584
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Forum: Miscellaneous Math
2021-12-05, 21:28
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Replies: 10
Views: 584
Primality test for Riesel and Proth prime ?
Here is what I observed :
For Riesel prime :
Let Rq = k*n^q-1, S(0) = n^k and S(i+1)= S(i)^n
Rq is prime iff S(q) = n^2
For example with 10*11^3-1, S(0)=11^10 and S(i+1) = S(i)^11
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Forum: Wagstaff PRP Search
2021-11-27, 13:43
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Replies: 12
Views: 3,568
For the repunits test. I use...
For the repunits test. I use T(q)={Wq=(10^q-1)/9;S0=q^10;S=S0;print("q= ",q);for(i=1,q-1,S=Mod(S^10,Wq));if(S==S0,print("prime"))}
forprime(n=3,1050,T(n)) on Pari Gp and I found for q prime : 3, 19,...
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Forum: Wagstaff PRP Search
2021-11-26, 20:47
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Replies: 12
Views: 3,568
I try some new seeds and I found this :
Let...
I try some new seeds and I found this :
Let Wq=(2^q+1)/3, S0=q^2, and: S(i+1)=Si² (mod Wq)
Wq is a prime iff: Sq−1 ≡ S0 (mod Wq)
I tried until p<1000 and I found only Wagstaff prime
I...
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Forum: Wagstaff PRP Search
2021-11-26, 13:12
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Replies: 12
Views: 3,568
Thanks for your reply :)
Unfortunately, I'm...
Thanks for your reply :)
Unfortunately, I'm not a mathematician so I think it could be impossible for me to prove it. I try to understand the proof of the Lucas-Lehmer test and trying to transpose...
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Forum: Wagstaff PRP Search
2021-11-25, 17:46
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Replies: 12
Views: 3,568
A new Wagstaff primality test ?
Let Wq=(2^q+1)/3, S0=(2^(q-2)+1)/3, and: Si+1=S2i−2 (mod Wq)
Wq is a prime iff: Sq−1 ≡ S0 (mod Wq)
I used this code on PariDroid (thanks to T.Rex) to check with some prime numbers and it seems...
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