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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

%I

%S 2,0,3117,504182416

%N 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.

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

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

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

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Magic_square">Magic square</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Primes_in_arithmetic_progression">Primes in arithmetic progression</a>

%H <a href="/index/Mag#magic">Index entries for sequences related to magic squares</a>

%e n = 3

%e |----|----|----|

%e |1669| 199|1249|

%e |----|----|----|

%e | 619|1039|1459|

%e |----|----|----|

%e | 829|1879| 409|

%e |----|----|----|

%e .

%e n = 4

%e |---------|---------|---------|---------|

%e | 53297929|189093589|179393899| 82396999|

%e |---------|---------|---------|---------|

%e |159994519|101796379|111496069|130895449|

%e |---------|---------|---------|---------|

%e |121195759|140595139|150294829| 92096689|

%e |---------|---------|---------|---------|

%e |169694209| 72697309| 62997619|198793279|

%e |---------|---------|---------|---------|

%Y Cf. A269324, A269905.

%K nonn,hard,more

%O 1,1

%A _Arkadiusz Wesolowski_, Mar 07 2016

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Last modified December 16 09:06 EST 2019. Contains 330020 sequences. (Running on oeis4.)