A245721 The set of 16 consecutive primes forming a 4 X 4 pandiagonal magic square with the smallest magic constant, 682775764735680 = A256234(1).

170693941183817, 170693941183847, 170693941183859, 170693941183861, 170693941183889, 170693941183891, 170693941183903, 170693941183907, 170693941183933, 170693941183937, 170693941183949, 170693941183951, 170693941183979, 170693941183981, 170693941183993, 170693941184023

Offset

1,1

Comments

Also, the set of 16 smallest consecutive primes forming a 4x4 Stanley antimagic square.

The set of primes is uniquely and straightforwardly determined by the magic sum, here A256234(1), cf. PROGRAM. See A320874 for the ordered list, i.e., the lexicographic smallest magic square made of these primes. - M. F. Hasler, Oct 23 2018

Links

Table of n, a(n) for n=1..16.

Index entries for sequences related to magic squares

Example

A pandiagonal magic square formed by these primes:
  170693941183817 170693941183933 170693941183949 170693941183981
  170693941183979 170693941183951 170693941183847 170693941183903
  170693941183891 170693941183859 170693941184023 170693941183907
  170693941183993 170693941183937 170693941183861 170693941183889
A Stanley antimagic square formed by these primes:
  170693941183817 170693941183859 170693941183907 170693941183949
  170693941183847 170693941183889 170693941183937 170693941183979
  170693941183861 170693941183903 170693941183951 170693941183993
  170693941183891 170693941183933 170693941183981 170693941184023

Prog

(PARI) A245721=MagicPrimes(682775764735680, 4) \\ See A073519.

Crossrefs

Cf. A320874 (the square made of the set of primes given here).

Cf. A073519 or A320873, A073521, A073522 (3 X 3, 4 X 4 and 5 X 5 consecutive primes), A073523 and A320876 (6 X 6 consecutive primes, pandiagonal magic square).

Cf. A210710: Minimal index of a Stanley antimagic square of order n consisting of distinct primes.

Cf. A073520: Smallest magic sum of a magic square made of n^2 consecutive primes.

Cf. A104157: Smallest of n X n consecutive primes forming a magic square.

Cf. A256234: Magic sums of 4 X 4 pandiagonal magic squares of consecutive primes.

Sequence in context: A003811 A003804 A259034 * A320874 A348801 A288278

Adjacent sequences: A245718 A245719 A245720 * A245722 A245723 A245724

Keyword

nonn,full,fini

Author

Max Alekseyev, Jul 30 2014

Status

approved