A163246 Squares which can be represented as the sum of consecutive primes in more than one way.

36, 100, 576, 841, 961, 1764, 1849, 2209, 2304, 7056, 22801, 24649, 25600, 30276, 31684, 32400, 36481, 39601, 40000, 47524, 48400, 48841, 57600, 58081, 66564, 69169, 69696, 76729, 77284, 80089, 85849, 93636, 94864, 96721, 112896, 119716, 128164, 134689, 138384, 140625, 142884, 147456

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..300

Formula

{ A000290 } intersect { A034707 }.

{ A000290 } intersect { A050936 }.

k^2 such that A084143(k^2) > 1. - Georg Fischer, Jul 08 2022

Example

6^2 = 36 = 5 + 7 + 11 + 13 = 17 + 19.

Crossrefs

Cf. A000290, A034707, A050936, A067372, A084143, A163244.

Sequence in context: A250813 A268770 A323064 * A014738 A182677 A076768

Adjacent sequences: A163243 A163244 A163245 * A163247 A163248 A163249

Keyword

nonn

Author

Gaurav Kumar, Jul 23 2009

Extensions

Offset corrected by Arkadiusz Wesolowski, Mar 28 2012

Duplicate 2304 removed and some missing terms inserted by Georg Fischer, Jul 08 2022

Status

approved