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- Z. Sun, "On integers not of the form ± pa ± qb," Proc. Amer. Math. Soc., 128:4 (2000) 997--1002. MR1695111
In 1975 F. Cohen and J.L. Selfridge found a 94-digit positive integer which cannot be written as the sum or difference of two prime powers. Following their basic construction and introducing a new method to avoid a bunch of extra congruences, we are able to prove that if
x≡ 47867742232066880047611079 (mod 66483034025018711639862527490) , then x is not of the form ± pa± qb where p, q are primes and a, b are nonnegative integers.