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.
2, 0, 3117, 504182416
Offset: 1
Examples
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|
|---------|---------|---------|---------|
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
- Wikipedia, Magic square
- Wikipedia, Primes in arithmetic progression
- Index entries for sequences related to magic squares
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