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A049386 Binary order of 2^n-th prime. 0
1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..39.

FORMULA

a(n)=A029837[ A033844[ n ] ]

a(n)=Ceiling[Log[2, Prime[2^n]]]

EXAMPLE

The 549755813888th=2^39th prime is 16149760533341 of which the binary order is 44: it is Ceiling[43.87657801]=44, so a(39)=44; a(0)=1 is the binary order of 2^0th=first prime(=2) which is Log[2,2] =1

CROSSREFS

Cf. A029837, A033844, A006988.

Sequence in context: A039249 A039191 A214329 * A188320 A039143 A039104

Adjacent sequences:  A049383 A049384 A049385 * A049387 A049388 A049389

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

STATUS

approved

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Last modified May 25 04:02 EDT 2013. Contains 225634 sequences.