Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers II |
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| Authors: | Yong Gao Chen Min Tang |
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| Affiliation: | (1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China;(2) Department of Mathematics, Anhui Normal University, Wuhu, 241000, P. R. China |
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| Abstract: | In this paper, we find two integers k 0, m of 159 decimal digits such that if k ≡ k 0 (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. Supported by the National Natural Science Foundation of China, Grant No 10471064 and 10771103 |
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| Keywords: | Erdő s problems covering systems odd numbers sums of prime powers |
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