|
|
A028335
|
|
Number of decimal digits in n-th Mersenne prime.
(Formerly N0189)
|
|
20
|
|
|
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
|
|
|
FORMULA
|
|
|
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
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|