login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240922 Magic constants of associative 4 X 4 X 4 cubes composed of distinct prime numbers. 1
1260, 1320, 1380, 1428, 1440, 1500, 1560, 1596, 1620 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
A magic cube is associative if the sum of its any two elements that are symmetric about the cube center equals the same number, called the associativity constant of the cube.
All magic 3 X 3 X 3 cubes are associative.
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
EXAMPLE
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
CROSSREFS
Cf. A239671.
Sequence in context: A215991 A288921 A099592 * A014575 A144563 A175746
KEYWORD
nonn,more
AUTHOR
Natalia Makarova, Aug 02 2014
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)