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A128879 Primes of the form Sum_{k=1..s} (k*(k+1)/2)^r for some integers r > 0 and s > 1. 0
62003, 380862171499238015813159, 477178536605483099069547874229030876125647161030458264473574997121391, 206419274016718024802773356759257053810224508067009725029122120681133886193 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Terms are the primes that equal the sum of the r-th powers of the first s triangular numbers. For first 5 listed terms the corresponding pairs of integers r and s are {r,s} = { {4,5}, {12,13}, {26,29}, {27,33}, {90,5} }. There are also known terms corresponding to {r,s} = { {35,285}, {144,5}, {141,37}, {179,13} } which are too large to include.
LINKS
CROSSREFS
Cf. A019434 (Fermat primes: primes of the form 2^(2^k) + 1).
Sequence in context: A340126 A112015 A234864 * A234149 A214147 A203258
KEYWORD
nonn
AUTHOR
Alexander Adamchuk, May 08 2007
STATUS
approved

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Last modified May 29 22:36 EDT 2024. Contains 372954 sequences. (Running on oeis4.)