id:A136548 - OEIS Search Results

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For any integer the next smaller prime or one function: If n is an integer and greater than two then the function is the prime[m] such that n>prime[m] or if less than or equal to 2 it is defined as 1.

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1, 1, 2, 3, 3, 5, 5, 7, 7, 7, 7, 11, 11, 13, 13, 13, 13, 17, 17, 19, 19, 19, 19, 23, 23, 23, 23, 23, 23, 29, 29, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 41, 41, 43, 43, 43, 43, 47, 47, 47, 47, 47, 47, 53, 53, 53, 53, 53, 53, 59, 59, 61, 61, 61, 61, 61, 61, 67, 67, 67, 67, 71, 71 (list; graph; listen)

	OFFSET	`1,3`
	COMMENT	`This sequence is related to the how often primes occur:` `n-f[n]` `is always a positive number and greater than or equal to 1 for every number except 1 itself. It closely related to the gap-type function` `gap[m]=Prime[m+1]-Prime[m]`
	CROSSREFS	`Sequence in context: A074399 A090302 A093074 this_sequence A007917 A151799 A093841` `Adjacent sequences: A136545 A136546 A136547 this_sequence A136549 A136550 A136551`
	KEYWORD	`nonn,uned`
	AUTHOR	`Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Mar 26 2008`

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.

AT&T Labs Research