A300394 Primes that are the sum of 7 alternate primes.

151, 229, 313, 373, 401, 433, 467, 659, 691, 977, 1051, 1283, 1361, 1597, 1787, 1867, 1987, 2339, 3023, 3067, 3187, 4051, 4091, 4129, 4337, 4373, 4723, 5009, 5209, 5419, 5647, 5849, 5897, 6269, 6329, 6473, 6971, 7243, 7643, 7853, 8017, 8287, 8501, 8609, 8669

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).

Links

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

Example

151 = 3 + 7 + 13 + 19 + 29 + 37 + 43 is a prime and 3, 7, 13, 19, 29, 37, 43 are alternate primes.
229 = 11 + 17 + 23 + 31 + 41 + 47 + 59 is a prime and 11, 17, 23, 31, 41, 47, 59 are alternate primes.

Maple

select(isprime, [seq(sum(ithprime(2*i+k), i=0..6), k=1..210)]);

Prog

(GAP) P:=Filtered([1..10000], IsPrime);;
Filtered(List([1..210], k->Sum([0..6], i->P[2*i+k])), IsPrime);

Crossrefs

Cf. Primes that are the sum of k alternate primes: A068363 (k=3), A068364 (k=5), this sequence (k=7), A300395 (k=9).

Sequence in context: A185936 A050969 A247346 * A142225 A334769 A334931

Adjacent sequences: A300391 A300392 A300393 * A300395 A300396 A300397

Keyword

nonn

Author

Muniru A Asiru, Mar 05 2018

Status

approved