共查询到4条相似文献,搜索用时 0 毫秒
1.
Five consecutive positive odd numbers none of which can be expressed as a sum of two prime powers II
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. 相似文献
2.
Florian Luca Pantelimon Stanica 《Proceedings of the American Mathematical Society》2005,133(7):1887-1890
In this paper, we construct an infinite arithmetic progression of positive integers such that if , then the th Fibonacci number is not a sum of two prime powers.
3.
Hans J.H. Tuenter 《Journal of Number Theory》2006,117(2):376-386
In the Frobenius problem with two variables, one is given two positive integers a and b that are relative prime, and is concerned with the set of positive numbers NR that have no representation by the linear form ax+by in nonnegative integers x and y. We give a complete characterization of the set NR, and use it to establish a relation between the power sums over its elements and the power sums over the natural numbers. This relation is used to derive new recurrences for the Bernoulli numbers. 相似文献
4.
在给定条件下证明了不等式|λ1p1 λ2p22 λ3p23 μ12x1 … μs2xs γ|<η有无限多素数p1,p2,p3和正整数x1,…,xs解. 相似文献