id:A087010 - OEIS Search Results

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Number of primes of form 4n+1 between n and 2n (inclusive).

+0
3

0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 5, 6, 6, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 10, 9, 10, 10, 10, 9, 9 (list; graph; listen)

	OFFSET	`1,9`
	COMMENT	`Erdos proved that between any n > 7 and its double there are always at least two primes, one of form 4n+1 and one of form 4n+3.`
	REFERENCES	`B. Schechter, "My Brain is Open: The Mathematical Journeys of Paul Erdos," Simon & Schuster, New York, 1998, p. 62.`
	CROSSREFS	`Cf. A035250, A087011, A087012.` `Sequence in context: A159700 A083534 A102300 this_sequence A098220 A133563 A104518` `Adjacent sequences: A087007 A087008 A087009 this_sequence A087011 A087012 A087013`
	KEYWORD	`nonn`
	AUTHOR	`Jason Earls (zevi_35711(AT)yahoo.com), Jul 30 2003`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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