American mathematician Harry L. Nelson won the challenge to produce a 3 × 3 magic square containing the smallest consecutive primes:
As there are infinite prime numbers, there are also infinite number of magic squares consisted of only consecutive prime numbers. For instance, below is another magic square 3 × 3 with consecutive primes:
1850590129 1850590057 1850590111
1850590081 1850590099 1850590117
1850590087 1850590141 1850590069Examples of magic squares 5 × 5 consisted of consecutive prime numbers:
59 107 71 23 53
13 37 113 61 89
43 41 83 79 67
101 19 17 103 73
97 101 29 47 31
281 409 311 419 283
359 379 349 347 269
313 307 389 293 401
397 331 337 271 367
353 277 317 373 383