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A278229 Least number with the prime signature of 2*prime(n) - 1. 4

%I #13 Nov 22 2016 21:48:34

%S 2,2,4,2,6,4,6,2,12,6,2,2,16,6,6,30,12,4,6,6,6,2,30,6,2,6,6,6,6,36,6,

%T 12,30,2,24,6,2,12,12,30,30,4,6,30,6,2,2,6,6,2,30,12,6,6,24,60,6,2,6,

%U 30,6,60,2,24,16,6,2,2,60,6,30,6,2,6,2,60,30,6,12,6,24,4,30,6,2,30,30,6,6,12,6,30,6,12,2,30,12,6,30,6,2,30,72,6,6,2,30,30

%N Least number with the prime signature of 2*prime(n) - 1.

%H Antti Karttunen, <a href="/A278229/b278229.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A046523(A076274(n)) = A046523((2*A000040(n))-1).

%t Table[Times @@ MapIndexed[(Prime@ First@ #2)^#1 &, #] &@ If[Length@ # == 1 && #[[1, 1]] == 1, {0}, Reverse@ Sort@ #[[All, -1]]] &@ FactorInteger[ 2 Prime@ n - 1], {n, 120}] (* _Michael De Vlieger_, Nov 21 2016 *)

%o (Scheme) (define (A278229 n) (A046523 (+ -1 (* 2 (A000040 n)))))

%Y Cf. A000040, A046523, A076274.

%Y Cf. A137288 (positions of 2's), A005382.

%Y Cf. also A278227, A278228, A278230.

%K nonn

%O 1,1

%A _Antti Karttunen_, Nov 19 2016

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Last modified September 8 06:47 EDT 2024. Contains 375751 sequences. (Running on oeis4.)