A111495 Floor of 10^n/Li(10^n) - 1.

0, 2, 4, 7, 9, 11, 14, 16, 18, 20, 23, 25, 27, 30, 32, 34, 37, 39, 41, 44, 46, 48, 50, 53, 55, 57, 60, 62, 64, 67, 69, 71, 73, 76, 78, 80, 83, 85, 87, 90, 92, 94, 97, 99, 101, 103, 106, 108, 110, 113, 115, 117, 120, 122, 124, 126, 129, 131, 133, 136, 138, 140, 143, 145

Offset

1,2

Comments

Conjecture: The difference between successive terms is between 2 and 3.

Links

Table of n, a(n) for n=1..64.

Formula

Li(n) is the logarithmic integral which approximates the number of primes less than n. n Li(n) = Int dt/log(t) 2

Prog

(PARI) for(x=1, 100, print1(floor(10.^x/Li(10^x)-1)", ")) Li(x) = \ Logarithmic integral { -eint1(log(1/x)) }

Crossrefs

Sequence in context: A020904 A043000 A160822 * A187686 A024812 A047349

Adjacent sequences: A111492 A111493 A111494 * A111496 A111497 A111498

Keyword

easy,nonn

Author

Cino Hilliard, Nov 15 2005

Status

approved