素数与指数型整数列中项的和

The Sum of a Prime and a Term of Exponential Sequences

本文证明了有正比例的正整数,它们表成斐波那契数与素数之和的表法数恰好为1.我们也研究了形如p+ak的正整数,其中p为素数,{ak}是满足一定条件的指数型整数列.

We prove that there is a positive proportion of positive integers which can be uniquely represented as the sum of a Fibonacci number and a prime.We also study the integers of the form p+ak,where p is a prime and{as}is an exponential type sequence of integers.