A282141 a(n)=least number strictly greater than n with an equivalent prime tower factorization.

3, 5, 27, 7, 10, 11, 9, 25, 14, 13, 20, 17, 15, 21, 7625597484987, 19, 24, 23, 28, 22, 26, 29, 50, 32, 33, 3125, 44, 31, 42, 37, 49, 34, 35, 38, 100, 41, 39, 46, 45, 43, 66, 47, 52, 56, 51, 53, 80, 121, 98, 55, 54, 59, 68, 57, 63, 58, 62, 61, 84, 67, 65, 75

Offset

2,1

Comments

The prime tower factorization of a number is defined in A182318.

The prime tower factorization equivalence classes are described in A279686.

For any n>1, a(n)=least k>n such that A279690(n)=A279690(k).

This sequence is a permutation of the complement of A279686.

This sequence is to prime tower factorization what A081761 is to prime signature.

Links

Rémy Sigrist, Table of n, a(n) for n = 2..2500

Rémy Sigrist, Illustration of the first terms

Formula

a(A000040(n)) = A000040(n+1) for any n>0.

a(A006881(n)) = A006881(n+1) for any n>0.

a(A051674(n)) = A051674(n+1) for any n>0.

a(A007304(n)) = A007304(n+1) for any n>0.

a(A046386(n)) = A046386(n+1) for any n>0.

a(A046387(n)) = A046387(n+1) for any n>0.

a(A067885(n)) = A067885(n+1) for any n>0.

Prog

(PARI) a(n) = my (c=a279690(n)); my (k=n+1); while (c!=a279690(k), k++); k

Crossrefs

Cf. A000040, A006881, A007304, A046386, A046387, A051674, A067885, A081761, A182318, A279686, A279690

Sequence in context: A268409 A182030 A348509 * A318321 A279510 A301315

Adjacent sequences: A282138 A282139 A282140 * A282142 A282143 A282144

Keyword

nonn

Author

Rémy Sigrist, Feb 07 2017

Status

approved