cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-2 of 2 results.

A269325 a(n) = initial term of an arithmetic progression of nine primes used to form a 3 X 3 magic square with magic sum A269324(n).

Original entry on oeis.org

199, 409, 3499, 2063, 6043, 10859, 433, 3823, 10861, 4721, 1699, 15607, 11927, 3413, 17, 19141, 12547, 137, 23509, 7151, 4091, 24677, 6553, 937, 31333, 521, 13469, 34913, 25073, 37013, 20599, 6949, 6143, 30427, 4673, 45767, 52879, 35257, 53299, 9619, 2141
Offset: 1

Views

Author

Arkadiusz Wesolowski, Feb 23 2016

Keywords

References

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

Links

Crossrefs

Cf. A269324. Supersequence of A227284.

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.

Original entry on oeis.org

2, 0, 3117, 504182416
Offset: 1

Views

Author

Arkadiusz Wesolowski, Mar 07 2016

Keywords

Comments

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

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

Crossrefs

Cf. A269324, A269905.
Showing 1-2 of 2 results.

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