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A175906 Numbers n of the form 2^(A000043-1)*A046528 such that sigma(n) is a perfect number. 0

%I #4 Aug 10 2024 15:18:24

%S 12,10924032,16125952,3757637632,45091651584,66563866624,

%T 727145809044307968,1152771972099211264,

%U 845044701535107443245558061611352064

%N Numbers n of the form 2^(A000043-1)*A046528 such that sigma(n) is a perfect number.

%C sigma(sigma(A046528(2,12,13,18,21,22,56,57,175,176,177,..))) is Mersenne prime.

%F a(n)= 2^( A000043(2,5,5,6,7,7,8,8,9,9,9,..)-1)*A046528(2,12,13,18,21,22,56,57,175,176,177,..).

%e 45091651584=2^18*3*7*8191, sigma(45091651584)=137438691328 is perfect number.

%Y Cf. A000396, A000203, A000668, A000043, A046528, A063103.

%K nonn,changed

%O 1,1

%A _Manuel Valdivia_, Oct 12 2010

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Last modified August 23 23:45 EDT 2024. Contains 375396 sequences. (Running on oeis4.)