Squares in (2^2-1)...(n^2-1) and p-adic valuation

Details Squares in (2^2-1)...(n^2-1) and p-adic valuation Squares in (2^2-1)...(n^2-1) and p-adic valuation

2008-10-19

arxiv.org/abs/0810.3366v3

Asian-European J. Math. 3 (2010), 329-333

Mathematics

Number Theory

4 pages. To appear in Asian-European J. Math

Scientific paper

In this paper, we determine all the squares in the sequence
$\{\prod_{k=2}^n(k^2-1)\}_{n=2}^\infty $. From this, one deduces that there are
infinitely many squares in this sequence. We also give a formula for the
$p$-adic valuation of the terms in this sequence.

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