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what is the shortest known sequence that mathematicians suspect is infinite? like, Mersenne primes are quite likely to be infinite, and we only know 51 of them. but there's surely even more extreme examples...Look on archive.org
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an advance on 51! we know of two Wieferich primes, but they are indeed conjectured to be infinite @SerinDelaunay/1076866611661996032Permalink Look on archive.org