login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 


Primes expressible as sigma(n) + sigma(sigma(n)), in order of their occurrence.
1

%I #14 Nov 11 2013 00:28:46

%S 2,7,11,23,127,167,137,269,547,547,383,547,269,431,547,547,293,383,

%T 431,1171,1039,1171,641,1039,1103,1171,887,1361,2551,1861,3001,2753,

%U 1193,2963,1499,2153,2753,2551,2963,4327,5281,1823,2963,4219,4327,3593,3583,6763

%N Primes expressible as sigma(n) + sigma(sigma(n)), in order of their occurrence.

%H K. D. Bajpai, <a href="/A228434/b228434.txt">Table of n, a(n) for n = 1..2450</a>

%e a(6)= 167: sigma(32)+sigma(sigma(32))= 63+104= 167, which is prime.

%e a(11)= 383: sigma(93)+sigma(sigma(93))= 128+255= 383, which is prime.

%p with(numtheory):KD := proc() local a; a:= sigma(n)+sigma(sigma(n));if isprime(a) then RETURN (a);fi;end:seq(KD(),n=1..5000);

%Y Cf. A000203 (sigma(n): sum of divisors of n).

%Y Cf. A019279 (superperfect numbers: sigma(sigma(n))).

%Y Cf. A033632 (numbers n: sigma(n)is prime).

%Y Cf. A051027 (a(n)= sigma(sigma(n))).

%K nonn

%O 1,1

%A _K. D. Bajpai_, Nov 10 2013

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 20 21:06 EDT 2024. Contains 376078 sequences. (Running on oeis4.)