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erdős #977

← #976 · #978 → (packet.json; erdosproblems.com)

If $P (m)$ is the greatest prime divisor of $m$ , then is it true that $\frac{P ( 2 ^{n} - 1 )}{n} \to \infty$ as $n \to \infty$ ?

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number theory · solved · 0 attempts

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A002583 — Largest prime factor of n! + 1.2,2,3,7,5,11,103,71,661,269,329891,39916801,2834329,75024347,3790360487,46271341,1059511,1000357,123610951,1713311273363 A005420 — Largest prime factor of 2^n - 1.3,7,5,31,7,127,17,73,31,89,13,8191,127,151,257,131071,73,524287,41,337,683,178481,241,1801,8191,262657,127,2089,331,2147

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solved

finding.noted · reviewer:will-blair · 1 day

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