A300395 Primes that are the sum of 9 alternate primes.

521, 563, 601, 641, 1129, 1259, 1319, 1553, 1951, 2957, 3119, 3187, 3299, 3461, 3779, 3943, 4099, 4211, 4831, 5417, 5471, 5519, 5569, 5623, 5779, 6131, 6199, 6701, 7639, 8011, 8273, 8537, 8719, 9431, 9967, 10103, 10177, 10321, 10453, 11069, 11261, 11311

Offset

1,1

Comments

Equivalently, primes p such that there exists k such that p = prime(k) + prime(k+2) + prime(k+4) + prime(k+6) + prime(k+8) + prime(k+10) + prime(k+12) + prime(k+14) + prime(k+16).

Links

Muniru A Asiru, Table of n, a(n) for n = 1..5000

Example

521 = 23 + 31 + 41 + 47 + 59 + 67 + 73 + 83 + 97 is a prime and 23, 31, 41, 47, 59, 67, 73, 83, 97 are alternate primes.
563 = 29 + 37 + 43 + 53 + 61 + 71 + 79 + 89 + 101 is a prime and 29, 37, 43, 53, 61, 71, 79, 89, 101 are alternate primes.

Maple

select(isprime, [seq(sum(ithprime(2*i+k), i=0..8), k=1..200)]);

Prog

(GAP) P:=Filtered([1..10000], IsPrime);;
Filtered(List([1..200], k->Sum([0..8], i->P[2*i+k])), IsPrime);

Crossrefs

Cf. Primes that are the sum of k alternate primes: A068363 (k=3), A068364 (k=5), A300394 (k=7), this sequence (k=9).

Sequence in context: A286977 A225999 A291998 * A139663 A146340 A146362

Adjacent sequences: A300392 A300393 A300394 * A300396 A300397 A300398

Keyword

nonn

Author

Muniru A Asiru, Mar 05 2018

Status

approved