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A120426 n-th number with the same prime signature as n. 3

%I #16 May 30 2020 15:13:03

%S 1,3,5,49,11,22,17,6859,529,35,31,76,41,51,55,7890481,59,124,67,148,

%T 74,77,83,472,9409,87,1092727,212,109,285,127,38579489651,115,118,119,

%U 14884,157,129,133,856,179,385,191,356,363,155,211,2512,51529,412,177,425

%N n-th number with the same prime signature as n.

%H David A. Corneth, <a href="/A120426/b120426.txt">Table of n, a(n) for n = 1..20000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeSignature.html">Prime Signature</a>

%F If p is prime, a(p) = prime(p). a(p^k) = prime(p^k)^k. More generally, if n = m^k, a(n) = [n-th number whose prime signature is the same as m]^k.

%Y Cf. A000040, A006450, A046523, A118914.

%K nonn

%O 1,2

%A _Franklin T. Adams-Watters_, Jul 12 2006

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Last modified September 1 19:48 EDT 2024. Contains 375594 sequences. (Running on oeis4.)