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A076724 Sum {k = 1..n} tau(k) is a prime, where tau is the Ramanujan tau function (A000594). 0
2, 3, 39, 97, 172, 177, 200, 203, 318, 332, 345, 500, 519, 527, 651, 660, 722, 865, 870, 881, 890, 897, 1089, 1091, 1101, 1106, 1156, 1177, 1192, 1205, 1369, 1370, 1393, 1425, 1459, 1466, 1499, 1500, 1503, 1505, 1517, 1519, 1703, 1755, 1779, 1782, 1786 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..47.

MATHEMATICA

Needs["NumberTheory`Ramanujan`"]; s = 0; Do[s = s + RamanujanTau[n]; If[PrimeQ[s], Print[n]], {n, 1, 10^4}]

Flatten[Position[Accumulate[RamanujanTau[Range[0, 1800]]], _?(PrimeQ[ #]&)]]-1 (* Harvey P. Dale, Dec 22 2015 *)

CROSSREFS

Cf. A000594.

Sequence in context: A039820 A331204 A153745 * A080393 A111683 A323734

Adjacent sequences: A076721 A076722 A076723 * A076725 A076726 A076727

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Dec 30 2002

STATUS

approved

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Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)