On the unboundedness of common divisors of distinct terms of the sequence $a_n=2^{2^n}+d$ for $d>1$

Tigran Hakobyan

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arXiv · 1601.04946

On the unboundedness of common divisors of distinct terms of the sequence $a_n=2^{2^n}+d$ for $d>1$

Tigran Hakobyan

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Abstract

It is well-known that for any distinct positive integers $k$ and $n$, the numbers $2^{2^k}+1$ and $2^{2^n}+1$ are relatively prime. In this paper we consider the situation when 1 is replaced by some positive integer $d>1$

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Tigran Hakobyan. 2016-01-19. On the unboundedness of common divisors of distinct terms of the sequence $a_n=2^{2^n}+d$ for $d>1$. https://arxiv.org/abs/1601.04946

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