A185347 Semiprimes that are the sum of 10 consecutive primes.

129, 158, 382, 1114, 1546, 2374, 2582, 3446, 3578, 6218, 6826, 7978, 8266, 9298, 9382, 10202, 12946, 14002, 15178, 15406, 15766, 16382, 16466, 17282, 17362, 18374, 18838, 19226, 19606, 23878, 24074, 25154, 25642, 26206, 29782, 30034, 30638, 32902, 33526, 34862, 34934, 35678, 35978, 36602

Offset: 1

Author

Zak Seidov, Feb 15 2011

Keywords

• nonn

Comments

Or, semiprimes in A127337 (Numbers that are the sum of 10 consecutive primes).

a(1) = 3*43, all other terms are of the form 2*prime.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A127337.

Programs

Mathematica

(* First run the program for A109611 to define semiPrimeQ *) Select[Table[Plus@@Prime[Range[n, n + 9]], {n, 500}], semiPrimeQ] (* Alonso del Arte, Feb 15 2011 *)
Select[Total/@Partition[Prime[Range[600]],10,1],PrimeOmega[#]==2&] (* Harvey P. Dale, Sep 06 2014 *)

PARI

{s=129;for(n=1,2000,if(2==bigomega(s), print1(s", ")); s=s-prime(n)+prime(n+10))}