A354723 Terms of A354722 whose number of divisors sets a new record.

25, 39, 575, 2875, 93025, 243125, 568135, 52810719, 3752907575, 15623751875

Offset: 1

Author

Amiram Eldar, Jun 04 2022

Keywords

• nonn
• base
• more

Comments

The corresponding numbers of divisors are 3, 4, 6, 8, 9, 10, 12, 16, 18, 20, ...

a(11) > 4*10^10, if it exists.

Crossrefs

Cf. A000005, A000120, A354722.

Programs

Mathematica

bw[n_] := DigitCount[n, 2, 1]; seq = {}; dm = 0; Do[If[CompositeQ[n] && (d = DivisorSigma[0, n]) > dm && UnsameQ @@ (bw /@ Divisors[n]), dm = d; AppendTo[seq, n]], {n, 1, 10^5, 2}]; seq