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arxiv: 1210.0450 · v1 · pith:ABIEQNCCnew · submitted 2012-10-01 · 🧮 math.NT

On the distance between perfect numbers

classification 🧮 math.NT
keywords numbersdistanceperfectcannotcongruentexistinfinitelymany
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It is shown that there exist infinitely many triangular numbers (congruent to 3 mod 12) which cannot be the distance between two perfect numbers.

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