login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A073522 A set of 25 consecutive primes that form a 5 X 5 magic square with the (non-minimal) magic constant 1703. 10
269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The magic constant here is not the smallest possible for a 5 X 5 magic square composed of consecutive primes, this would be A073520(5) = 313 corresponding to primes (13, 17, ..., 113). [Edited by M. F. Hasler, Oct 29 2018]

REFERENCES

Allan W. Johnson, Jr., Journal of Recreational Mathematics, vol. 14:2, 1981-82, pp. 152-153.

Clifford A. Pickover, The Zen of Magic Squares, Circles and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002.

LINKS

Table of n, a(n) for n=1..25.

Harvey Heinz, Prime Magic Squares

Index entries for sequences related to magic squares

EXAMPLE

The magic square is

[ 281 409 311 419 283 ]

[ 359 379 349 347 269 ]

[ 313 307 389 293 401 ]

[ 397 331 337 271 367 ]

[ 353 277 317 373 383 ]

PROG

(PARI) A073522=MagicPrimes(1703, 5) \\ Cf. A073519. - M. F. Hasler, Oct 28 2018

CROSSREFS

Cf. A073519 and A320873 (minimal 3 X 3 magic square of consecutive primes), A073520 (minimal magic sum for n X n square of consecutive primes), A073521 (consecutive primes of a 4 X 4 magic square), A073523 (consecutive primes of a pandiagonal 6 X 6 magic square).

Sequence in context: A251941 A286792 A115183 * A273552 A073026 A255206

Adjacent sequences:  A073519 A073520 A073521 * A073523 A073524 A073525

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Aug 29 2002

EXTENSIONS

Edited by Max Alekseyev, Sep 24 2009

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 23 02:33 EST 2019. Contains 319365 sequences. (Running on oeis4.)