The OEIS is supported by the many generous donors to the OEIS Foundation.

Primes that are the sum of 7 alternate primes.

2

`%I #28 Sep 15 2018 18:38:19
`

`%S 151,229,313,373,401,433,467,659,691,977,1051,1283,1361,1597,1787,
`

`%T 1867,1987,2339,3023,3067,3187,4051,4091,4129,4337,4373,4723,5009,
`

`%U 5209,5419,5647,5849,5897,6269,6329,6473,6971,7243,7643,7853,8017,8287,8501,8609,8669
`

`%N Primes that are the sum of 7 alternate primes.
`

`%C 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).
`

`%H Muniru A Asiru, <a href="/A300394/b300394.txt">Table of n, a(n) for n = 1..5000</a>
`

`%e 151 = 3 + 7 + 13 + 19 + 29 + 37 + 43 is a prime and 3, 7, 13, 19, 29, 37, 43 are alternate primes.
`

`%e 229 = 11 + 17 + 23 + 31 + 41 + 47 + 59 is a prime and 11, 17, 23, 31, 41, 47, 59 are alternate primes.
`

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

`%o (GAP) P:=Filtered([1..10000],IsPrime);;
`

`%o Filtered(List([1..210],k->Sum([0..6],i->P[2*i+k])),IsPrime);
`

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

`%K nonn
`

`%O 1,1
`

`%A _Muniru A Asiru_, Mar 05 2018
`