A375196 Smaller of two successive terms of A025487 that have an equal number of divisors.

6, 24, 72, 210, 5400, 30720, 36960, 51840, 53760, 120120, 264600, 887040, 3991680, 6912000, 14968800, 22118400, 58198140, 319334400, 1703116800, 4151347200, 6273146880, 12247200000, 31757806080, 42343741440, 47636709120, 70572902400, 238378140000, 442810368000

Offset: 1

Author

Amiram Eldar, Aug 04 2024

Keywords

• nonn

Comments

There are runs of three successive terms of A025487 that have an equal number of divisors. The smallest elements in these runs are 51840, 17149215283200, 63147292984115358771227840741376000000000, ... . Are there such runs of four successive terms?

Examples

			6 is a term since 6 and 8 are two successive terms of A025487, and they have an equal number of divisors: A000005(6) = A000005(8) = 4.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..4390

Crossrefs

Cf. A000005, A025487, A146288, A375195.

Programs

Mathematica

With[{lps = Cases[Import["https://oeis.org/A025487/b025487.txt", "Table"], {, }][[;; , 2]]}, lps[[Position[Differences[DivisorSigma[0, lps]], 0] // Flatten]]]

Formula

a(n) = A025487(A375195(n)).