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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

6 votes

Are all counterexamples of OEIS A226181 both Poulet numbers and Proth numbers?

The answer is no, they aren't necessarily Proth numbers. Consider $$n=7816642561=7\times 13\times 5581\times 15391 = 238545\times 2^{15}+1$$ for which we have $\mathrm{ord}_{n}(2)=954180 = (n-1)/2^{1 …
Peter Košinár's user avatar