id:A031217 - OEIS Search Results

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Number of terms in longest arithmetic progression of consecutive primes starting at n-th prime (conjectured to be unbounded).

+0
1

2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) <=4 for n <=100000. - Reinhard Zumkeller, Feb 02 2007`
	REFERENCES	`R. K. Guy, Unsolved Problems in Number Theory, A6.`
	LINKS	`R. Zumkeller, Table of n, a(n) for n = 1..10000` `Index entries for sequences related to primes in arithmetic progressions`
	EXAMPLE	`At 47 there are 3 consecutive primes in A.P., 47 53 59.`
	CROSSREFS	`Cf. A001223.` `Sequence in context: A090387 A030329 A120881 this_sequence A078545 A111497 A097051` `Adjacent sequences: A031214 A031215 A031216 this_sequence A031218 A031219 A031220`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`More terms from James A. Sellers (sellersj(AT)math.psu.edu)`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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