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A214266 Numbers n such that n, phi(n) and sigma(n) have same set of prime factors. 1

%I #11 Jul 10 2012 10:19:12

%S 1,103654150315463023813006470,207308300630926047626012940,

%T 414616601261852095252025880,518270751577315119065032350,

%U 829233202523704190504051760,982794906694760522078876160,1036541503154630238130064700

%N Numbers n such that n, phi(n) and sigma(n) have same set of prime factors.

%H Michel Marcus, <a href="/A214266/b214266.txt">Table of n, a(n) for n = 1..100</a>

%H Prime Puzzles, <a href="http://www.primepuzzles.net/puzzles/puzz_451.htm">Puzzle 451</a>

%e For n = 207308300630926047626012940 = 2^2*3^4*5*7*11*13^3*17^3*29^2*31^3*37^2*67^2

%e phi(n) = 2^18*3^9*5^2*7*11*13^2*17^2*29*31^2*37*67 and

%e sigma(n) = 2^16*3^6*5^2*7^5*11^2*13^2*17*29*31*37*67^2

%e have the same prime factors.

%Y Cf. A027598, A055744, A081377.

%K nonn,fini

%O 1,2

%A _Michel Marcus_, Jul 09 2012

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)