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A066538
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Sum of the digits of the n-th Mersenne prime (A000668).
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2
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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
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..37.
Carlos Rivera, The prime puzzles & problems connection, number 74
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MATHEMATICA
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ep = {the exponents from A000043}; a = {}; Do[ a = Append[a, Apply[ Plus, IntegerDigits[ 2^ep[[n]] - 1]]], {n, 1, 37} ]; a
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CROSSREFS
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Cf. A001348, A000668, A000043.
Sequence in context: A192265 A179706 A016619 * A216627 A112305 A218616
Adjacent sequences: A066535 A066536 A066537 * A066539 A066540 A066541
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KEYWORD
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base,nonn
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AUTHOR
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Robert G. Wilson v, Jan 06 2002
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EXTENSIONS
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Definition corrected by Omar E. Pol. Apr 01 2008
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STATUS
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approved
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