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Search: id:A080172
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| A080172 |
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Final digit of Mersenne primes (primes of the form 2^p - 1 where p is prime). |
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+0
6
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| 3, 7, 1, 7, 1, 1, 7, 7, 1, 1, 7, 7, 1, 7, 7, 7, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 7, 7, 1, 7, 1, 1, 1, 1, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Distribution of final digit for Mersenne primes appears (naturally) to be different from distribution for regular primes. Unconfirmed 39th digit in sequence is 1 (awaiting confirmation of 39th Mersenne prime).
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REFERENCES
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G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 16.
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LINKS
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Great Internet Mersenne Prime Search (GIMPS), Distributed Computing Projects
Mersenne Primes, History, Theorems and Lists
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MAPLE
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(Maple code from N. J. A. Sloane (njas(AT)research.att.com)) # let s1 := list of terms in A000043
f:=n->if n mod 4 = 0 then 4 else n mod 4; fi; map(x->2^f(x)-1, s1);
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CROSSREFS
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Cf. A000668, A007652, A080173.
Sequence in context: A071792 A010781 A019806 this_sequence A133065 A021733 A021273
Adjacent sequences: A080169 A080170 A080171 this_sequence A080173 A080174 A080175
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KEYWORD
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base,nonn
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AUTHOR
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Mark Dowdeswell (mark(AT)stats.wits.ac.za), Feb 04 2003
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EXTENSIONS
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Updated by N. J. A. Sloane (njas(AT)research.att.com), Apr 01 2008
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