A174717 Averages of twin prime pairs of the form: sum of consecutive cubes.

432, 4788, 9000, 211500, 437472, 564300, 1231200, 1232352, 1271088, 2368800, 2609208, 3042900, 5523408, 6773580, 8560692, 9604980, 9985500, 12797568, 14653548, 15630300, 15850800, 24770592, 26462700, 33242400, 34716348

Offset

1,1

Comments

3^3+4^3+5^3+6^3=432, 9^3+10^3+11^3+12^3=4788,..

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10276

Mathematica

mx=500; mz=mx^3+(mx+1)^3; lst={}; Do[p=q^3; Do[p+=n^3; If[PrimeQ[p-1]&&PrimeQ[p+1], If[p>mz, Break[]]; AppendTo[lst, p]], {n, q+1, mx+1}], {q, 1, mx}]; Union@lst

Crossrefs

Cf. A014574, A174716

Sequence in context: A360840 A248460 A234327 * A235418 A235422 A234405

Adjacent sequences: A174714 A174715 A174716 * A174718 A174719 A174720

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Mar 27 2010

Status

approved