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A172297 Partial sums of A002234. 0
2, 5, 11, 41, 116, 197, 312, 435, 684, 1046, 1430, 1892, 2404, 3155, 3977, 9289, 17044, 26575, 38954, 54776, 73661, 96632, 119637, 218363, 361381, 512404, 1179475, 2374678, 3643657, 5111420, 7125412, 9493318, 13246266 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The subsequence of primes in this sequence begin: 2, 5, 11, 41, 197, 218363, 3643657.

LINKS

Table of n, a(n) for n=1..33.

FORMULA

a(n) = sum[i=1..n] {i such that the Woodall number i*2^i - 1 is prime}.

EXAMPLE

a(6) = 2 + 3 + 6 + 30 + 75 + 81 = 197 is prime. a(33) = 2 + 3 + 6 + 30 + 75 + 81 + 115 + 123 + 249 + 362 + 384 + 462 + 512 + 751 + 822 + 5312 + 7755 + 9531 + 12379 + 15822 + 18885 + 22971 + 23005 + 98726 + 143018 + 151023 + 667071 + 1195203 + 1268979 + 1467763 + 2013992 + 2367906 + 3752948.

CROSSREFS

Cf. A000040, A002234, A050918.

Sequence in context: A237814 A007700 A071313 * A128231 A088148 A088149

Adjacent sequences:  A172294 A172295 A172296 * A172298 A172299 A172300

KEYWORD

hard,nonn,less

AUTHOR

Jonathan Vos Post, Jan 30 2010

STATUS

approved

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Last modified February 16 21:31 EST 2020. Contains 331975 sequences. (Running on oeis4.)