A240922 Magic constants of associative 4 X 4 X 4 cubes composed of distinct prime numbers.
1260, 1320, 1380, 1428, 1440, 1500, 1560, 1596, 1620
Offset: 1
Examples
a(1)=1260 corresponds to the following cube: 23 521 433 283 373 29 457 401 587 139 11 523 277 571 359 53 --------------- 263 379 557 61 613 13 131 503 317 449 31 463 67 419 541 233 --------------- 397 89 211 563 167 599 181 313 127 499 617 17 569 73 251 367 --------------- 577 271 59 353 107 619 491 43 229 173 601 257 347 197 109 607
References
- Andrews W. S. Magic Squares & Cubes, Dover Publ, 1960 (original publication Open Court, 1917)
- William H. Benson and Oswald Jacoby. Magic Cubes. New Recreations. 1981.
- Gakuho Abe, Related Magic Squares with Prime Elements, JRM 10:2 1977-78, pp.96-97.
- A. W. Johnson, Jr., An Order 4 Prime Magic Cube, JRM 18:1, 1985-86, pp 5-7.
Links
- Harvey Heinz, Prime Number Magic Cubes
- Natalia Makarova, Magic cubes corresponding to terms a(1)-a(6)
- Discussion in forum dxdy.ru (in Russian)
- Result for Magic Cubes of Prime Numbers
Crossrefs
Cf. A239671.
Comments