A260673 Smallest primes of 4 X 4 magic squares formed from consecutive primes.

31, 37, 1229, 4931, 12553, 3259909, 3324329, 9291521, 24066643, 26025107, 46330021, 95979511, 99268649, 116923057, 170995151, 204041417, 213084871, 218568971, 229981399, 232850557, 254042641, 255432869, 256714219, 300222341, 375303157, 383432249, 421514827

Offset: 1

Author

Arkadiusz Wesolowski, Nov 14 2015

Keywords

• nonn

Examples

			        n = 3
|----|----|----|----|
|1229|1249|1321|1319|
|----|----|----|----|
|1301|1303|1231|1283|
|----|----|----|----|
|1297|1277|1307|1237|
|----|----|----|----|
|1291|1289|1259|1279|
|----|----|----|----|
.
        n = 4
|----|----|----|----|
|4943|4933|5011|5009|
|----|----|----|----|
|4999|4973|4967|4957|
|----|----|----|----|
|5003|4969|4987|4937|
|----|----|----|----|
|4951|5021|4931|4993|
|----|----|----|----|
		

References

• Allan W. Johnson, Jr., Consecutive-Prime Magic Squares, Journal of Recreational Mathematics, vol. 15, 1982-83, pp. 17-18.

Links

• Zhao Hui Du, Table of n, a(n) for n = 1..1000
• Harvey D. Heinz, Prime Numbers Magic Squares: Minimum consecutive primes - 4, 1999-2010.
• Carlos Rivera, Puzzle 3. Magic Squares with consecutive primes, The Prime Puzzles & Problems Connection.
• Eric Weisstein's World of Mathematics, Prime Magic Square
• Index entries for sequences related to magic squares

Crossrefs

Cf. A073521, A173981, A256891, A270864, A272386 (analog for n=5), A176571 (magic sums for n=5), A272387. Subsequence of A270865.

Programs

PARI

A260673(n)=MagicPrimes(A173981(n),4)[1] \\ See A073519 for MagicPrimes(). - M. F. Hasler, Oct 28 2018

Extensions

Extended by Arkadiusz Wesolowski, Dec 13 2015