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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

Table of n, a(n) for n=1..4.

CROSSREFS

Cf. A019434 (Fermat primes: primes of the form 2^(2^k) + 1).

Sequence in context: A340126 A112015 A234864 * A234149 A214147 A203258

Adjacent sequences:  A128876 A128877 A128878 * A128880 A128881 A128882

KEYWORD

nonn

AUTHOR

Alexander Adamchuk, May 08 2007

STATUS

approved

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Last modified January 27 10:32 EST 2022. Contains 350607 sequences. (Running on oeis4.)