A135735 - OEIS

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A135735

Sequence arising in a search for three consecutive powerful numbers.

46, 430, 1817, 58254, 209991, 1752299, 3124318, 4099215, 5374184665, 6459560882, 16466394154, 20565608894, 25666082990, 117477414815, 125854178626, 1004569189366, 1188580642033, 15826129757609, 18803675974841, 20256129307923, 39028039587479

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OFFSET

1,1

COMMENTS

Here powerful numbers are those for which every prime factor appears to a power at least 2.

LINKS

Table of n, a(n) for n=1..21.

Andreas Reinhart, On orders in quadratic number fields whose set of distances is peculiar, arXiv:2305.09267 [math.NT], 2023.

Andreas Reinhart, A counterexample to the Pellian equation conjecture of Mordell, arXiv:2402.09827 [math.NT], 2024.

S. V. Sidorov and P. A. Shcherbakov, On the Period Length Modulo D of Sequences of Numerators and Denominators of Convergents for the Square Root of a Non-square D, Int'l Conf. Math. Modeling, Math. Modeling Supercomp. Tech. (MMST 2023) 28-43.

A. J. Stephens and H. C. Williams, Some computational results on a problem concerning powerful numbers, Math. Comp. 50 (1988), 619-632.

CROSSREFS

Sequence in context: A077734 A272184 A213286 * A160285 A111304 A055751

Adjacent sequences: A135732 A135733 A135734 * A135736 A135737 A135738

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Mar 05 2008

EXTENSIONS

a(9)-a(17) from Andreas Reinhart, communicated by Hugo Pfoertner, May 24 2023

a(18)-a(21) from Andreas Reinhart, added by Michel Marcus, Feb 15 2024

STATUS

approved