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 A028335 Number of decimal digits in n-th Mersenne prime. (Formerly N0189) 11
 1, 1, 2, 3, 4, 6, 6, 10, 19, 27, 33, 39, 157, 183, 386, 664, 687, 969, 1281, 1332, 2917, 2993, 3376, 6002, 6533, 6987, 13395, 25962, 33265, 39751, 65050, 227832, 258716, 378632, 420921, 895932, 909526, 2098960, 4053946, 6320430, 7235733, 7816230, 9152052, 9808358, 11185272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Apply p->floor(p*log(2)/log(10))+1 to A000043. REFERENCES A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 19. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). LINKS Ivan Panchenko, Table of n, a(n) for n = 1..47 C. K. Caldwell, Mersenne Primes R. Mestrovic, Euclid's theorem on the infinitude of primes: a historical survey of its proofs (300 BC--2012) and another new proof, arXiv preprint arXiv:1202.3670 [math.HO], 2012. FORMULA a(n) = A055642(A000668(n)). - Michel Marcus, Apr 07 2018 EXAMPLE a(6) = 2^17-1 = 131071 has 6 decimal digits, a(10) = 2^89-1 = 618,970,019,642,690,137,449,562,111 has 27 digits. MAPLE seq(length(numtheory:-mersenne([i])), i=1..45); # Robert Israel, Feb 02 2018 MATHEMATICA IntegerLength[2^Array[MersennePrimeExponent, 45] - 1] (* Jean-François Alcover, Feb 17 2018 *) CROSSREFS See A000043, which is the main entry for this sequence. Cf. A000668, A055642. Sequence in context: A243930 A064778 A317491 * A007464 A210733 A265564 Adjacent sequences:  A028332 A028333 A028334 * A028336 A028337 A028338 KEYWORD nonn,base AUTHOR EXTENSIONS More terms from Enoch Haga, Dec 18 2001 One more term from Harry J. Smith, Apr 17 2003 4053946 from Omar E. Pol, Oct 28 2007 a(40)-a(41) from Jason Kimberley, Jan 05 2012 a(42)-a(45) from Patrick J. McNab, Feb 01 2018 STATUS approved

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Last modified October 22 18:50 EDT 2019. Contains 328319 sequences. (Running on oeis4.)