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A283147 Number n such that there are no primes of the form sigma(n)/k where 1 < k < n is a (proper) nondivisor of n. 0

%I #8 Mar 01 2017 17:14:39

%S 1,2,4,9,12,16,25,48,64,112,192,240,289,448,729,960,1344,1681,1984,

%T 2401,3481,4096,5041,6720,7921,10201,12288,15625,17161,27889,28561,

%U 28672,29929,39270,53130,61440,65536,71610,82110

%N Number n such that there are no primes of the form sigma(n)/k where 1 < k < n is a (proper) nondivisor of n.

%o (PARI) is(n)=my(s=sigma(n), p=factor(s)[,1], k); for(i=1,#p, k=s/p[i]; if(k<n&&n%k, return(0))); 1 \\ _Charles R Greathouse IV_, Mar 01 2017

%Y Supersequence of A023194, A019279 and A061652.

%Y Cf. A000203, A173540.

%K nonn

%O 1,2

%A _Juri-Stepan Gerasimov_, Mar 01 2017

%E Corrected by _Charles R Greathouse IV_, Mar 01 2017

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Last modified April 20 00:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)