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A173966
Sums of two consecutive semiprimes.
4
19, 29, 43, 51, 67, 69, 77, 115, 171, 173, 187, 189, 237, 243, 245, 267, 283, 285, 291, 317, 355, 403, 405, 411, 427, 429, 435, 437, 507, 597, 603, 605, 653, 669, 723, 763, 787, 789, 891, 893, 907, 963, 1003, 1029, 1053, 1075, 1085, 1107, 1131, 1245, 1267
OFFSET
1,1
COMMENTS
First 16 terms:19,29,43,51,67,69,77,115,171,173,187,189,237,243,245,267 are the same as in A157483.
These are sums of two consecutive integers which are both semiprimes, whereas A118717 are sums of two semiprimes which are adjacent (consecutive) in A001358. [From R. J. Mathar, Mar 18 2010]
LINKS
MATHEMATICA
f[n_]:=Last/@FactorInteger[n]=={1, 1}||Last/@FactorInteger[n]=={2}; lst={}; Do[If[f[n], If[f[n+1], AppendTo[lst, 2*n+1]]], {n, 7!}]; lst
Total/@Select[Partition[Select[Range[700], PrimeOmega[#]==2&], 2, 1], #[[2]]- #[[1]] == 1&] (* Harvey P. Dale, Jun 22 2020 *)
CROSSREFS
Sequence in context: A276049 A108183 A157483 * A096218 A100590 A046120
KEYWORD
nonn
AUTHOR
STATUS
approved