A060332 Primes the sum of seven consecutive composite numbers.

173, 359, 367, 383, 457, 541, 593, 619, 643, 659, 811, 877, 929, 1087, 1103, 1129, 1181, 1223, 1481, 1489, 1549, 1753, 1787, 1811, 2039, 2063, 2129, 2137, 2239, 2297, 2347, 2371, 2549, 2557, 2693, 2711, 2719, 2767, 2819, 2843, 2851, 3061, 3163, 3187

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 ] + composite[ n + 4 ] + composite[ n + 5 ] + composite[ n + 6 ]; If[ PrimeQ[ p ], a = Append[ a, p ] ], {n, 1, 2000} ]; a
Module[{upto=500, cmps}, cmps=Select[Range[upto], CompositeQ]; Select[ Total/@ Partition[ cmps, 7, 1], PrimeQ]] (* Harvey P. Dale, Oct 24 2021 *)

Crossrefs

Sequence in context: A142004 A047986 A096703 * A142022 A130338 A275968

Adjacent sequences: A060329 A060330 A060331 * A060333 A060334 A060335

Keyword

nonn

Author

Robert G. Wilson v, Mar 30 2001

Status

approved