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A080172 Final digit of Mersenne primes (primes of the form 2^p - 1 where p is prime). 5
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; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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).

REFERENCES

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers. 3rd ed., Oxford Univ. Press, 1954, p. 16.

LINKS

Great Internet Mersenne Prime Search (GIMPS), Distributed Computing Projects

Mersenne Primes, History, Theorems and Lists

MAPLE

(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);

CROSSREFS

Cf. A000668, A007652, A080173.

Sequence in context: A010781 A019806 A199589 * A133065 A021733 A021273

Adjacent sequences:  A080169 A080170 A080171 * A080173 A080174 A080175

KEYWORD

base,nonn

AUTHOR

Mark Dowdeswell (mark(AT)stats.wits.ac.za), Feb 04 2003

EXTENSIONS

Updated by N. J. A. Sloane (njas(AT)research.att.com), Apr 01 2008

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Last modified February 15 16:21 EST 2012. Contains 205823 sequences.