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Search took 0.01 seconds. Search: Posts Made By: Dr Sardonicus
Forum: Other Mathematical Topics 2021-03-15, 20:19
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
It seems that for the most of the mersenne...

It seems that for the most of the mersenne numbers, this test says nothing. If Mn=7, you have 3^6=1, 1/2=4, 4+1=5 (mod 7). So, it doesn't tell me that 7 is prime or not. Or maybe you screwed up the...
Forum: Other Mathematical Topics 2021-03-13, 14:00
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
Nobody said a proof was not possible. A number...

Nobody said a proof was not possible. A number of people have pointed out that no proof is known. There is AFAIK no known composite Mp the test has failed to detect. There are however known...
Forum: Other Mathematical Topics 2021-03-12, 17:00
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
I didn't say that. I said that 3^((n-1)/2) == 1...

I didn't say that. I said that 3^((n-1)/2) == 1 (mod n) where n= 1913*5737 is a small composite factor of M239.

I suggest you stop responding to posts as if you hadn't read them.
Forum: Other Mathematical Topics 2021-03-12, 14:12
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
Pepin's test works for Fermat numbers because if...

Pepin's test works for Fermat numbers because if P = Fn the only prime factor of P - 1 is 2. If n > 0 and P is prime, 3 is a quadratic non-residue (mod P) so Mod(3,P)^((P-1)/2) = Mod(-1,P).
...
Forum: Other Mathematical Topics 2021-03-12, 01:04
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
This is going to miss cases when (a/Mp) = +1 if...

This is going to miss cases when (a/Mp) = +1 if Mp is prime (which I'm guessing would be about half the cases for a given a > 3).

For example, (5/Mp) = +1 if Mp is prime and p == 1 (mod 4), but...
Forum: Other Mathematical Topics 2021-03-11, 16:40
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
Could you please post one of these, or, if...

Could you please post one of these, or, if previously posted, give a link?

I can only imagine the fun that would ensue if

Mod(3, 2^p - 1)^(2^(p-1)) + 3 == Mod(0, 2^p -1) but

LL test says 2^p...
Forum: Other Mathematical Topics 2021-03-11, 14:58
Replies: 27
Views: 3,369
Posted By Dr Sardonicus
A specific instance has been discussed previously...

A specific instance has been discussed previously in this Forum, in, e.g. this thread (https://www.mersenneforum.org/showthread.php?t=21362).

If P is prime, and gcd(a, P) == 1 then a^((P-1)/2) ==...
Showing results 1 to 7 of 7

 
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