A048892 Start of n consecutive integers with distinct number of divisors.

1, 1, 4, 9, 45, 76, 270, 2204, 3718, 95499, 590890, 16023339, 16475964, 1745175039, 31287652672, 347321438520, 2620400333120, 239919791836864

Offset

1,3

Links

Table of n, a(n) for n=1..18.

Carlos Rivera, Problem 20. Divisors (II) K consecutive numbers with the same number of divisors, The Prime Puzzles and Problems Connection. See Problem 20c.

Example

The 5th number of this sequence, 45, means that 45, 46, 47, 48 and 49 all have distinct number of divisors: 6, 4, 2, 10 and 3, respectively.

Crossrefs

Cf. A000005, A006558.

Sequence in context: A357447 A024053 A197970 * A108849 A025558 A298986

Adjacent sequences: A048889 A048890 A048891 * A048893 A048894 A048895

Keyword

nonn,nice,more

Author

Carlos Rivera

Extensions

More terms from Jud McCranie

a(15)-a(16) from Donovan Johnson, Feb 17 2010

a(17)-a(18) from Martin Ehrenstein, Aug 07 2023

Status

approved