A163244 Squares which can be represented as sum of consecutive primes.

36, 49, 100, 121, 144, 169, 324, 484, 576, 625, 841, 900, 961, 1089, 1156, 1369, 1444, 1681, 1764, 1849, 2116, 2209, 2304, 2916, 3249, 3600, 3844, 4225, 4900, 5184, 5329, 6241, 6889, 7056, 7396, 7744, 8100, 8649, 8836, 9025, 10201, 11449, 11881, 12100, 12769

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Example

36 = 5 + 7 + 11 + 13.

Mathematica

With[{nn=50}, Take[Table[Select[Total/@Partition[Prime[Range[ 1000]], n, 1], IntegerQ[ Sqrt[ #]]&], {n, 2, nn}]//Flatten//Union, nn]] (* Harvey P. Dale, May 27 2017 *)

Crossrefs

Cf. A163247.

Sequence in context: A132956 A260015 A374936 * A260008 A261292 A335249

Adjacent sequences: A163241 A163242 A163243 * A163245 A163246 A163247

Keyword

nonn

Author

Gaurav Kumar, Jul 23 2009

Extensions

Missing terms reported by Zak Seidov added by Gaurav Kumar, Jul 25 2009

Status

approved