A100382 Record values of A062700.

3, 7, 13, 31, 127, 307, 1093, 1723, 2801, 3541, 8191, 10303, 19531, 28057, 30941, 131071, 147073, 524287, 797161, 830833, 1191373, 1204507, 1353733, 1395943, 1424443, 1482307, 1886503, 2037757, 2212657, 2432041, 2507473, 2922391

Offset: 1

Author

Jorge Coveiro, Dec 30 2004

Keywords

• nonn

Comments

Take sequence A062700: 3, 7, 13, 31, 31, 127, 307, 1093, 1723, 2801, 3541, 8191, 5113, 8011, 10303, .... Then eliminate terms so that each term of the sequence is larger than the preceding one: 3, 7, 13, 31, 127, 307, 1093, 1723, 2801, 3541, 8191, 10303, ....

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A062700 (terms of A000203 that are prime), A000203 (sigma(n), sum of divisors of n), A034885 (record values of sigma(n)).

Programs

Magma

S:=[]; a:=0; for n in [1..3000000] do c:=SumOfDivisors(n); if IsPrime(c) and a lt c then Append(~S,c); a:=c; end if; end for; S; // Klaus Brockhaus, Oct 21 2009

Extensions

More terms from Ryan Propper, Jul 13 2005

Edited, corrected and extended by Klaus Brockhaus, Oct 21 2009