OFFSET
1,1
COMMENTS
MATHEMATICA
q[k_] := Module[{m = MultiplicativeOrder[2, k^2]}, PowerMod[2, k - 1, m] == 1]; Select[Range[1, 2300000, 2], PowerMod[2, # - 1, #] != 1 && q[#] &] (* Amiram Eldar, Sep 24 2024 *)
PROG
(PARI) is(k) = (k > 1) && k % 2 && !isprime(k) && Mod(2, k)^(k-1) != 1 && Mod(2, znorder(Mod(2, k^2)))^(k-1) == 1; \\ Amiram Eldar, Sep 24 2024
(PARI) list(lim)=my(v=List()); if(lim>3<<64, warning("May miss multiples of Wieferich primes > 2^64.")); forstep(n=10533, lim, 7022, if(Mod(2, znorder(Mod(2, n^2)))^(n-1) == 1 && Mod(2, n)^n != 2, listput(v, n))); Vec(v) \\ Charles R Greathouse IV, Sep 24 2024
CROSSREFS
KEYWORD
nonn,new
AUTHOR
Thomas Ordowski, Sep 24 2024
EXTENSIONS
More terms from Amiram Eldar, Sep 24 2024
STATUS
approved