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Results tagged with nt.number-theory
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user 3533
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
Accepted
abc-conjecture meets Catalan conjecture?
Regarding Paul's "first step question", I believe the answer may well be that the set of such M is finite. This follows under some coprimality hypothesis from the n-term abc conjecture of Browkin and …
- 126
9
votes
Average distance between numbers of the form $2^{a}3^{b}$
More generally, if you fix a set of primes $p_1, \ldots, p_r$, and let $n_1=1 < n_2 < \cdots$ be the set of positive integers composed of primes in this set, then one has (effectively)
$$
n_{i+1}-n_i …
- 126