A289270 Primes p such that 10*p is the sum of two consecutive primes.

3, 41, 103, 293, 359, 379, 421, 653, 701, 733, 821, 883, 907, 911, 937, 1009, 1237, 1423, 1567, 1627, 1637, 1931, 1973, 2017, 2129, 2203, 2281, 2417, 2459, 2477, 2647, 2879, 3209, 3271, 3347, 3413, 3539, 3593, 3659

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Example

10*3 = 30 = prime(6) + prime(7) = 13+17;
10*41 = 410 = prime(46) + prime(47) = 199+211.

Mathematica

Select[Map[Total, Partition[Prime@ Range@ 2200, 2, 1]]/10, PrimeQ] (* Michael De Vlieger, Jun 30 2017 *)

Prog

(PARI) is(n)=isprime(n) && precprime(5*n)+nextprime(5*n)==10*n \\ Charles R Greathouse IV, Jul 02 2017

Crossrefs

Primes p such that m*p is the sum of two consecutive primes: A118134 (m=4), A163487 (m=6), A164132 (m=8), this sequence (m=10), A164134 (m=12).

Sequence in context: A352605 A360930 A229080 * A262555 A343814 A106978

Adjacent sequences: A289267 A289268 A289269 * A289271 A289272 A289273

Keyword

nonn

Author

Zak Seidov, Jun 30 2017

Status

approved