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

1,1

Comments

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

Links

Table of n, a(n) for n=1..38.

Index entries for sequences related to magic squares

Formula

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

Crossrefs

Cf. A073520, A268912, A270830.

Sequence in context: A269904 A090446 A270830 * A104157 A073520 A152137

Adjacent sequences: A270826 A270827 A270828 * A270830 A270831 A270832

Keyword

nonn

Author

Arkadiusz Wesolowski, Mar 23 2016

Status

approved