A342124 a(n) = smallest potential magic constant for an n X n magic square composed of consecutive primes.

2, 18, 121, 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, 237623

Offset

1,1

Comments

A potential magic constant is defined by the necessary condition that for any potential magic square the sum of the consecutive primes must be divisible by the order n, and, after dividing the sum of consecutive primes by the order n, it must have the same parity as the order n.

The known smallest magic constants for any n X n magic square composed of consecutive primes are given by A073520. It is believed that for n >= 5, a(n) = A073520(n).

Links

Table of n, a(n) for n=1..39.

Crossrefs

Cf. A073520, A104157, A342386.

Sequence in context: A119578 A052610 A052653 * A289830 A361304 A358952

Adjacent sequences: A342121 A342122 A342123 * A342125 A342126 A342127

Keyword

nonn

Author

A.H.M. Smeets, Feb 28 2021

Status

approved