A350858 Minimal permanent of an n X n matrix whose elements are a permutation of the first n^2 prime numbers.

1, 2, 29, 3664, 1820642, 2276752048, 5697057180536

Offset

0,2

Links

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

Example

a(2) = 29:
    2    3
    5    7
a(3) = 3664:
    2    3    5
    7   13   19
   11   17   23

Prog

(Python)
from itertools import permutations
from sympy import Matrix
def A350858(n): return 1 if n == 0 else min(Matrix(n, n, p).per() for p in permutations(prime(m) for m in range(1, n**2+1))) # Chai Wah Wu, Jan 21 2022

Crossrefs

Cf. A114533, A180128, A350565, A350859 (maximal).

Sequence in context: A252042 A295426 A055559 * A345041 A114533 A180128

Adjacent sequences: A350855 A350856 A350857 * A350859 A350860 A350861

Keyword

nonn,hard,more

Author

Stefano Spezia, Jan 19 2022

Extensions

a(4)-a(6) from Hugo Pfoertner, Jan 21 2022

Status

approved