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by daynthelife
983 days ago
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Analytic number theory has seen a fair number of such conjectures. The first that comes to mind is the Pólya conjecture [0]. The conjecture stated that for any positive integer N > 2, there are at least as many positive integers less than N with an odd number of prime factors as there are with an even number.
The smallest counterexample is N = 906,150,258.
[0] https://en.m.wikipedia.org/wiki/P%C3%B3lya_conjecture |
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