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Are $(1,2)$ and $(4,5)$ the only two consecutive pairs in A003592, the integers of the form $2^i 5^j$?

All odd numbers in A003592 are powers of $5$, so this is equivalent to finding all $n \ge 0$ such that $5^n = 2^m+1$ or $2^m - 1$ for some $m \ge 0$. By quick brute force computation I cannot seem to



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Are $(1,2)$ and $(4,5)$ the only two consecutive pairs in A003592, the integers of the form $2^i 5^j$?

https://math.stackexchange.com/q/3818796/602386

All odd numbers in A003592 are powers of $5$, so this is equivalent to finding all $n \ge 0$ such that $5^n = 2^m+1$ or $2^m - 1$ for some $m \ge 0$. By quick brute force computation I cannot seem to



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https://math.stackexchange.com/q/3818796/602386

Are $(1,2)$ and $(4,5)$ the only two consecutive pairs in A003592, the integers of the form $2^i 5^j$?

All odd numbers in A003592 are powers of $5$, so this is equivalent to finding all $n \ge 0$ such that $5^n = 2^m+1$ or $2^m - 1$ for some $m \ge 0$. By quick brute force computation I cannot seem to

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