A375459 a(n) = smallest magic sum of any 3 X 3 magic square which contains exactly n squared primes, or 0 if no such magic square exists.

21, 18, 15, 51, 195, 435, 76035

Offset

0,1

Comments

a(9) = 0.

a(n) = A268855(n+1) for n = 0, 1, 2, and 5.

a(7) and a(8) - if nonzero, they are greater than 10^10.

Links

Table of n, a(n) for n=0..6.

Carlos Rivera, Puzzle 79. The Chebrakov's - by two months - challenge, The Prime Puzzles and Problems Connection.

Arkadiusz Wesolowski, Examples of these magic squares

Index entries for sequences related to magic squares

Crossrefs

Cf. A001248, A268855, A375361.

Sequence in context: A142590 A346064 A291469 * A105706 A022977 A023463

Adjacent sequences: A375456 A375457 A375458 * A375460 A375461 A375462

Keyword

nonn,fini,hard,more

Author

Arkadiusz Wesolowski, Aug 15 2024

Status

approved