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Forum: Miscellaneous Math 2021-10-14, 22:03
Replies: 2
Views: 339
Posted By paulunderwood
Semi-primes are being stubborn, but when I feed...

Semi-primes are being stubborn, but when I feed in Carmichael numbers counterexamples abound such as [n,a]=[19384289, 8494896]

This is yet another test that shows that X Frobenius tests with X...
Forum: Miscellaneous Math 2021-10-14, 01:56
Replies: 2
Views: 339
Posted By paulunderwood
I can save a few Selfridges by using the weaker...

I can save a few Selfridges by using the weaker form of Fermat's Little Theorem:

{
tst(n,a)=kronecker(a^2-4,n)==-1&&
gcd(a+4,n)==1&&
Mod(a-1,n)^n==a-1&&
Mod(a,n)^n==a&&
Mod(a+1,n)^n==a+1&&...
Forum: Miscellaneous Math 2021-10-13, 19:13
Replies: 2
Views: 339
Posted By paulunderwood
Talking Single Parameter Frobenius test -- 1+1+1+1+2 Selfridges

{
tst(n,a)=kronecker(a^2-4,n)==-1&&
gcd((a^3-a)*(a+4),n)==1&&
Mod(a-1,n)^(n-1)==1&&
Mod(a,n)^(n-1)==1&&
Mod(a+1,n)^(n-1)==1&&
Mod(a+4,n)^(n-1)==1&&
Mod(Mod(x+2,n),x^2-a*x+1)^(n+1)==2*a+5;}
...
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