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A269904 Smallest magic sum for any n X n magic square filled with primes in an arithmetic progression, or 0 if no such magic square exists. 1
2, 0, 3117, 504182416 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) > 0 for every n >= 3 under Dickson's conjecture.

REFERENCES

Joseph S. Madachy, "Magic and Antimagic Squares." Ch. 4 in Madachy's Mathematical Recreations, New York: Dover, 1979, p. 95.

Clifford A. Pickover, The Mathematics of Oz: Mental Gymnastics from Beyond the Edge, Cambridge University Press, 2002, p. 327.

LINKS

Table of n, a(n) for n=1..4.

Wikipedia, Magic square

Wikipedia, Primes in arithmetic progression

Index entries for sequences related to magic squares

EXAMPLE

      n = 3

|----|----|----|

|1669| 199|1249|

|----|----|----|

| 619|1039|1459|

|----|----|----|

| 829|1879| 409|

|----|----|----|

.

                  n = 4

|---------|---------|---------|---------|

| 53297929|189093589|179393899| 82396999|

|---------|---------|---------|---------|

|159994519|101796379|111496069|130895449|

|---------|---------|---------|---------|

|121195759|140595139|150294829| 92096689|

|---------|---------|---------|---------|

|169694209| 72697309| 62997619|198793279|

|---------|---------|---------|---------|

CROSSREFS

Cf. A269324, A269905.

Sequence in context: A114632 A036108 A265594 * A090446 A270830 A270829

Adjacent sequences:  A269901 A269902 A269903 * A269905 A269906 A269907

KEYWORD

nonn,hard,more

AUTHOR

Arkadiusz Wesolowski, Mar 07 2016

STATUS

approved

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Last modified November 19 19:09 EST 2019. Contains 329323 sequences. (Running on oeis4.)