id:A111495 - OEIS Search Results

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

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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 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Conjecture: The difference between successive terms is between 2 and 3.`
	FORMULA	`Li(n) is the logarithmic integral which approximates the number of primes less than n. n Li(n) = Int dt/log(t) 2`
	PROGRAM	`(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: A022848 A020904 A043000 this_sequence A024812 A047349 A054406` `Adjacent sequences: A111492 A111493 A111494 this_sequence A111496 A111497 A111498`
	KEYWORD	`easy,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Nov 15 2005`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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