A270829 Smallest magic sum for any n X n semimagic square made from consecutive primes, or 0 if no such magic square exists.

2, 0, 65573, 124, 313, 484, 797, 2016, 2211, 2862, 4507, 6188, 6325, 9660, 12669, 13016, 16857, 19530, 23069, 28184, 38761, 46302, 42515, 49846, 59087, 70260, 73385, 78960, 97267, 98316, 111023, 124454, 134641, 152952, 163043, 180596, 195975, 218432

Offset: 1

Author

Arkadiusz Wesolowski, Mar 23 2016

Keywords

• nonn

Comments

a(n) <= A073520(n). For n = 3 and 4, a(n) is different from A073520(n).

Links

• Index entries for sequences related to magic squares

Crossrefs

Cf. A073520, A268912, A270830.

Formula

a(2) = 0, otherwise a(n) = (1/n) * sum(m=k..n^2+k-1, A000040(m)), where k = A049084(A270830(n)).