A174521 Primes that are the sum of all composite numbers in-between prime numbers p(n) and p(n+2).

193, 673, 1873, 2207, 2833, 4391, 3023, 8209, 5903, 8999, 6047, 9643, 7537, 19843, 10273, 29399, 11953, 12433, 20879, 35999, 36241, 23761, 23831, 24907, 20353, 32401, 33403, 22367, 34129, 57367, 49123, 74311, 51197, 40037, 42773, 71399

Offset

1,1

Comments

20+21+22+24+25+26+27+28=193,..

Links

Harvey P. Dale, Table of n, a(n) for n = 1..2000

Mathematica

f[n_, x_]:=n*x+x*(x+1)/2; Select[Table[f[Prime[n], Prime[n+2]-Prime[n]-1]-Prime[n+1], {n, 6!}], PrimeQ[ # ]&]
Select[Table[Total[Select[Range[Prime[n], Prime[n+2]], CompositeQ]], {n, 1000}], PrimeQ] (* Harvey P. Dale, May 13 2017 *)

Crossrefs

Cf. A034962, A054265, A174518, A174519, A174520

Sequence in context: A142117 A340230 A142564 * A204711 A125647 A166540

Adjacent sequences: A174518 A174519 A174520 * A174522 A174523 A174524

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 21 2010

Status

approved