This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

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.

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