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A128879 Primes of the form Sum[ (k(k+1)/2)^r, {k,1,s} ] for some integers r>0 and s>1. +0
1
62003, 380862171499238015813159, 477178536605483099069547874229030876125647161030458264473574997121391, 206419274016718024802773356759257053810224508067009725029122120681133886193 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) 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.

CROSSREFS

Cf. A019434 = Fermat primes: primes of form 2^(2^n) + 1.

Adjacent sequences: A128876 A128877 A128878 this_sequence A128880 A128881 A128882

Sequence in context: A106774 A075671 A112015 this_sequence A089009 A093791 A135430

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), May 08 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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