A256234 Magic constants of 4 X 4 pandiagonal magic squares composed of consecutive primes.

682775764735680, 47184892811061120, 50194833750826260, 70151123608154420, 76685404549625256, 93295105984206480, 94615738903617540, 123483356772380760, 141536742113504220, 211283804186719200, 214070508927033000

Offset

1,1

Comments

a(1) = 682775764735680, minimal 4 X 4 pandiagonal magic squares of consecutive primes, see A245721.

Links

Dmitry Petukhov, Table of n, a(n) for n = 1..56

Discussion at the scientific forum dxdy.ru (in Russian)

BOINC project to search all up to 2^64

Natalia Makarova, Pandiagonal squares of order 4 composed of consecutive prime numbers

Natalia Makarova, Symmetrical 16-tuples of consecutive primes, components for pandiagonal squares of order 4, from J. Wroblewski

Example

a(2) =  47184892811061120:
  11796223202765101 +
    0 148 232 336
  268 300  36 112
  126  22 358 210
  322 246  90  58
a(5) = 76685404549625256:
  19171351137406219 +
    0 100 112 168
  142 138  30  70
   78  22 190  90
  160 120  48  52

Crossrefs

Cf. A166113 (3 X 3 square), A245721.

Sequence in context: A321709 A338608 A088867 * A298821 A159042 A129935

Adjacent sequences: A256231 A256232 A256233 * A256235 A256236 A256237

Keyword

nonn

Author

Dmitry Petukhov, Mar 20 2015

Extensions

a(5) added by Dmitry Petukhov, Mar 25 2015

a(6), a(7) from an anonymous participant in the project, added by Natalia Makarova, Jul 16 2015

a(8) from Alexander Andreyev, added by Natalia Makarova, Mar 29 2016

a(9) from Alexander Andreyev, a(10) from an anonymous participant in the project, a(11) from Denis Ivanov, added by Natalia Makarova, Jun 13 2016

a(12)-a(18) are confirmed by BOINC project, Mar 19 2017

a(19)-a(32) are confirmed by BOINC project, Apr 06 2017

a(33)-a(56) are confirmed and added by BOINC project, May 17 2017

Status

approved