A060329 Primes the sum of four consecutive composite numbers.

97, 193, 263, 311, 337, 383, 457, 503, 647, 673, 839, 887, 937, 1009, 1033, 1103, 1223, 1319, 1487, 1511, 1583, 1609, 1777, 1801, 1823, 1873, 2017, 2377, 2423, 2447, 2593, 2617, 2687, 2713, 2903, 2927, 2999, 3023, 3049, 3361, 3407, 3457, 3623, 3671

Offset

1,1

Links

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

Mathematica

composite[ n_Integer ] := (k = n + PrimePi[ n ] + 1; While[ k - PrimePi[ k ] - 1 != n, k++ ]; k); a = {}; Do[ p = composite[ n ] + composite[ n + 1 ] + composite[ n + 2 ] + composite[ n + 3 ]; If[ PrimeQ[ p ], a = Append[ a, p ] ], {n, 1, 1000} ]; a
nn=1000; With[{comps=Complement[Range[2, nn], Prime[Range[PrimePi[ nn]]]]}, Select[ Total/@Partition[comps, 4, 1], PrimeQ]] (* Harvey P. Dale, Jan 02 2013 *)

Crossrefs

Sequence in context: A364321 A142398 A133870 * A157924 A323796 A044429

Adjacent sequences: A060326 A060327 A060328 * A060330 A060331 A060332

Keyword

nonn

Author

Robert G. Wilson v, Mar 30 2001

Status

approved