A328704 Primes dividing nonzero terms in A002065.

3, 13, 61, 151, 211, 223, 739, 1009, 1531, 4363, 4513, 5503, 6277, 6397, 7753, 7873, 9463, 11353, 11587, 11677, 12007, 12241, 13669, 15061, 15391, 17509, 17791, 21157, 25243, 25747, 26959, 28351, 28411, 29641, 30553, 30727, 31873, 33289, 33469, 33997, 36343, 36721, 37117, 37201

Offset

1,1

Comments

Primes in A328703.

Sequence is infinite: it contains all prime factors of the numbers A002065(p), where p is any prime. Note that gcd(A002065(p), A002065(q)) = 1 for primes p != q. So the set of prime factors of {A002065(p) : p prime} is infinite.

Links

Table of n, a(n) for n=1..44.

Prog

(PARI) v(n) = my(v=[0], k, flag=1); for(i=2, n+1, k=(v[#v]^2+v[#v]+1)%n; v=concat(v, k); for(j=1, i-1, if(v[j]==k, flag=0)); if(flag==0, break())); v
a(n) = isprime(n) && !(v(n)[#v(n)])

Crossrefs

Cf. A002065, A328703.

Sequence in context: A232611 A238445 A355298 * A341077 A357749 A112568

Adjacent sequences: A328701 A328702 A328703 * A328705 A328706 A328707

Keyword

nonn

Author

Jianing Song, Oct 26 2019

Status

approved