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A302596 Powers of prime numbers of prime index. 0
1, 3, 5, 9, 11, 17, 25, 27, 31, 41, 59, 67, 81, 83, 109, 121, 125, 127, 157, 179, 191, 211, 241, 243, 277, 283, 289, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 625, 709, 729, 739, 773, 797, 859, 877, 919, 961, 967, 991, 1031, 1063, 1087, 1153 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A prime index of n is a number m such that prime(m) divides n.

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

Entry A302242 describes a correspondence between positive integers and multiset multisystems. In this case it gives the following sequence of set multisystems.

001: {}

003: {{1}}

005: {{2}}

009: {{1},{1}}

011: {{3}}

017: {{4}}

025: {{2},{2}}

027: {{1},{1},{1}}

031: {{5}}

041: {{6}}

059: {{7}}

067: {{8}}

081: {{1},{1},{1},{1}}

083: {{9}}

109: {{10}}

121: {{3},{3}}

125: {{2},{2},{2}}

MATHEMATICA

Select[Range[400], MatchQ[FactorInteger[#], {{_?(#===1||PrimeQ[PrimePi[#]]&), _}}]&]

CROSSREFS

Cf. A000961, A001222, A003963, A005117, A006450, A007716, A056239, A076610, A275024, A047968, A281113, A295924, A301760, A302242, A302243.

Sequence in context: A145819 A317827 A296768 * A230721 A094509 A120811

Adjacent sequences:  A302593 A302594 A302595 * A302597 A302598 A302599

KEYWORD

nonn

AUTHOR

Gus Wiseman, Apr 10 2018

STATUS

approved

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Last modified September 23 16:17 EDT 2020. Contains 337314 sequences. (Running on oeis4.)