A342386 Smallest prime out of n^2 consecutive primes such that this set of consecutive primes has the smallest potential magic constant (as given in A342124).

2, 5, 23, 5, 13, 7, 7, 79, 37, 23, 67, 89, 131, 31, 71, 47, 43, 73, 277, 353, 41, 67, 127, 223, 79, 13, 193, 5, 23, 43, 5, 67, 3, 19, 5, 59, 59, 653, 19, 19, 97, 409, 5, 383, 29, 137, 379, 349, 653, 1187, 47, 41, 37, 17, 619, 89, 283, 283, 43, 479, 191, 1009, 571

Offset

1,1

Comments

A potential magic constant is defined by the necessary condition to obtain a magic square, 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 primes out of a set of n^2 consecutive primes such that its magic constant is the smallest possible magic constant as well, are given by A104157. It is believed that for n >= 5, a(n) = A104157(n).

Links

Table of n, a(n) for n=1..63.

Crossrefs

Cf. A073520, A104157, A342124.

Sequence in context: A034384 A078419 A241428 * A374402 A070281 A355025

Adjacent sequences: A342383 A342384 A342385 * A342387 A342388 A342389

Keyword

nonn

Author

A.H.M. Smeets, Mar 10 2021

Status

approved