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

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