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

1,1

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

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 *)

Prog

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

Crossrefs

Cf. A127337.

Sequence in context: A230092 A060878 A127337 * A034072 A178228 A235879

Adjacent sequences: A185344 A185345 A185346 * A185348 A185349 A185350

Keyword

nonn

Author

Zak Seidov, Feb 15 2011

Status

approved