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A116974 Numbers n for which the sum of the proper divisors equals the product of the proper divisors. 1

%I #8 Jul 31 2015 21:28:13

%S 2,3,5,6,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,

%T 89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,

%U 179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277

%N Numbers n for which the sum of the proper divisors equals the product of the proper divisors.

%F Union of 6 and A000040: the prime numbers.

%t fQ[n_] := Block[{id = Most@Divisors@n}, Plus @@ id == Times @@ id]; Select[Range@300, fQ@# &] (* _Robert G. Wilson v_, Apr 03 2006 *)

%o (PARI) a(n)=if(n<5,[2,3,5,6][n],prime(n+1)) \\ _Charles R Greathouse IV_, Aug 26 2011

%K nonn,easy

%O 1,1

%A Luc Stevens (lms022(AT)yahoo.com), Apr 01 2006

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Last modified April 16 01:40 EDT 2024. Contains 371696 sequences. (Running on oeis4.)