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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 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.)