摘要
In this paper, we find two integers k0, m of 159 decimal digits such that if k ≡ k0 (mod m), then none of five consecutive odd numbers k, k - 2, k - 4, k - 6 and k - 8 can be expressed in the form 2^n ± p^α, where p is a prime and n, α are nonnegative integers.
In this paper, we find two integers k0, m of 159 decimal digits such that if k ≡ k0 (mod m), then none of five consecutive odd numbers k, k - 2, k - 4, k - 6 and k - 8 can be expressed in the form 2^n ± p^α, where p is a prime and n, α are nonnegative integers.
基金
the National Natural Science Foundation of China,Grant No 10471064 and 10771103