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A172296 Partial sums of Wagstaff numbers A000978. 0
3, 8, 15, 26, 39, 56, 75, 98, 129, 172, 233, 312, 413, 540, 707, 898, 1097, 1410, 1757, 2458, 4167, 6784, 10323, 16130, 26631, 37322, 48601, 60992, 75471, 118208, 201547, 296916, 414155, 541186, 680123, 821202, 1088219, 1358206, 1732527, 2718718 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The prime partial sums of Wagstaff numbers begin 3, 233, 1097, 201547, 680123. None of these but 3 is itself a Wagstaff number.

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) = SUM[i=1..n] {integers i such that (2^i + 1)/3 is prime}.

EXAMPLE

a(40) = 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 31 + 43 + 61 + 79 + 101 + 127 + 167 + 191 + 199 + 313 + 347 + 701 + 1709 + 2617 + 3539 + 5807 + 10501 + 10691 + 11279 + 12391 + 14479 + 42737 + 83339 + 95369 + 117239 + 127031 + 138937 + 141079 + 267017 + 269987 + 374321 + 986191.

CROSSREFS

Cf. A000040, A000978.

Sequence in context: A159465 A071148 A172289 * A048598 A049717 A241565

Adjacent sequences:  A172293 A172294 A172295 * A172297 A172298 A172299

KEYWORD

hard,nonn

AUTHOR

Jonathan Vos Post, Jan 30 2010

STATUS

approved

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Last modified May 26 18:08 EDT 2020. Contains 334630 sequences. (Running on oeis4.)