login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A139019
a(1)=1. a(n) = smallest prime > a(n-1) such that sum{k=1 to n} a(k) is a power of a prime.
2
1, 2, 5, 11, 13, 17, 79, 83, 33554221, 33554501, 2198956146619, 2198956147781, 9002801275337659, 9002801275339331
OFFSET
1,2
COMMENTS
Next terms are a(15) = 2^1685 - 18010000530080323, a(16) = 2^1685 - 18010000529304693.
CROSSREFS
Sequence in context: A156672 A145669 A215427 * A031869 A194854 A045360
KEYWORD
nonn
AUTHOR
Leroy Quet, Apr 06 2008
EXTENSIONS
Corrected and extended by M. F. Hasler, Apr 06 2008
a(11)-a(14) from Donovan Johnson, Nov 30 2008
a(15)-a(16) from Max Alekseyev, Feb 01 2010
STATUS
approved