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A066538 Sum of the digits of the n-th Mersenne prime (A000668). +0
3
3, 7, 4, 10, 19, 13, 28, 46, 73, 112, 139, 154, 697, 847, 1675, 3106, 3106, 4258, 5755, 5950, 13216, 13693, 14980, 27202, 28939, 31339, 60337, 116455, 149365, 179488, 291745, 1026544, 1163443, 1704376, 1893388, 4038358, 4092673 (list; graph; listen)
OFFSET

1,1

COMMENT

The current largest known prime number is 2^6972593-1, a number with 2098960 digits. Enoch Haga (Jul 9 1999) has calculated that Sum-of-digits(2^6972593-1) = 9440671.

LINKS

Carlos Rivera, The prime puzzles & problems connection, number 74

MATHEMATICA

ep = {the exponents from A000043}; a = {}; Do[ a = Append[a, Apply[ Plus, IntegerDigits[ 2^ep[[n]] - 1]]], {n, 1, 37} ]; a

CROSSREFS

Cf. A001348, A000668, A000043.

Sequence in context: A094689 A019831 A016619 this_sequence A112305 A114691 A023639

Adjacent sequences: A066535 A066536 A066537 this_sequence A066539 A066540 A066541

KEYWORD

base,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 06 2002

EXTENSIONS

Definition corrected by Omar E. Pol. Apr 01 2008

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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