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 A056679 Primes p such that 1 + x + Sum_{q prime <= p} x^q is irreducible over GF(2). 0

%I #10 Apr 17 2020 07:47:17

%S 2,5,17,59,73,269,3769,4327

%N Primes p such that 1 + x + Sum_{q prime <= p} x^q is irreducible over GF(2).

%e a(3) = 17 because 1 + x + x^2 + x^3 + x^5 + x^7 + x^11 + x^13 + x^17 is irreducible over GF(2).

%o (PARI) lista(nn) = {my(f=1+x); forprime(p=2, nn, f+=x^p; if(polisirreducible(Mod(1, 2)*f), print1(p, ", "))); } \\ _Jinyuan Wang_, Apr 15 2020

%Y Cf. A071642.

%K nonn,more

%O 1,1

%A _Robert G. Wilson v_, Nov 10 2000

%E a(7)-a(8) from _Jinyuan Wang_, Apr 15 2020

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Last modified September 8 22:43 EDT 2024. Contains 375759 sequences. (Running on oeis4.)