id:A164952 - OEIS Search Results

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Primes p with the property: if p/3 is in the interval (p_m, p_(m+1)), where p_m>=3 and p_k is the k-th prime, then the interval (p, 3p_(m+1)) contains a prime.

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2, 3, 11, 17, 23, 29, 41, 43, 59, 61, 71, 73, 79, 97 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`See our comment to A104272 on a generalization of Ramanujan primes; in particular, all 3-Ramanujan primes are in the sequence.`
	EXAMPLE	`If p=61, the p/3 is in the interval (19, 23); we see that the interval (61,69) contains a prime (67).`
	CROSSREFS	`A104272 A164368 A164288` `Sequence in context: A045337 A098700 A025584 this_sequence A157977 A105903 A045338` `Adjacent sequences: A164949 A164950 A164951 this_sequence A164953 A164954 A164955`
	KEYWORD	`nonn,uned`
	AUTHOR	`Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 01 2009`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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