OFFSET
1,1
COMMENTS
Or, semiprimes in A034961 (Sums of three consecutive primes).
Subsequence of square semiprimes: {49, 121, 841, 961, 1849, 22801, 24649, 36481, 69169, ...} = {7, 11, 29, 31, 43, 151, 157, 191, 263, ...}^2 that is also a subsequence of A080665 (Squares in A034961). Cf. also A034962 (Primes A034961).
Somewhat surprisingly, the sum of two consecutive primes is never a semiprime. This follows from that fact that if p+q = 2r for primes p,q,r, then r must between p and q. So if p and q are consecutive, then r does not exist.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..1000
EXAMPLE
MATHEMATICA
semiPrimeQ[n_Integer] := Total[FactorInteger[n]][[2]] == 2; Select[Total /@ Partition[Prime[Range[100]], 3, 1], semiPrimeQ] (* T. D. Noe, Apr 20 2011 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Apr 16 2011
STATUS
approved