|
Search: id:A062700
|
|
| |
|
| 3, 7, 13, 31, 31, 127, 307, 1093, 1723, 2801, 3541, 8191, 5113, 8011, 10303, 19531, 17293, 28057, 30941, 30103, 131071, 88741, 86143, 147073, 524287, 292561, 459007, 492103, 797161, 552793, 579883, 598303, 684757, 704761, 732541, 735307
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Sorted and uniqued, this gives A023195.
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,100
|
|
EXAMPLE
|
sigma(2) = 3, sigma(4) = 7, sigma(9) = 13 are the first three prime terms of A000203. Hence the sequence starts 3, 7, 13.
|
|
PROGRAM
|
(MAGMA) [ c: n in [1..1000000] | IsPrime(c) where c:=SumOfDivisors(n) ]; [From Klaus Brockhaus, Oct 21 2009]
(PARI) je=[]; for(n=1, 1000000, if(isprime(sigma(n)), je=concat(je, sigma(n)))); je
(PARI) { n=0; for (m=1, 10^9, if(isprime(a=sigma(m)), write("b062700.txt", n++, " ", a); if (n==100, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 09 2009]
|
|
CROSSREFS
|
Cf. A000203 (sigma(n), sum of divisors of n), A034885 (record values of sigma(n)), A023195 (prime numbers that are the sum of the divisors of some n), A100382 (record values of A062700).
Sequence in context: A025249 A147098 A109291 this_sequence A136060 A023227 A031157
Adjacent sequences: A062697 A062698 A062699 this_sequence A062701 A062702 A062703
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jason Earls (zevi_35711(AT)yahoo.com), Jul 11 2001
|
|
EXTENSIONS
|
Edited by Klaus Brockhaus, Oct 21 2009
|
|
|
Search completed in 0.002 seconds
|
