id:A058362 - OEIS Search Results

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Initial primes of sets of 6 consecutive primes in arithmetic progression. Each set has a constant difference equal to 30. These are the smallest such sets.

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121174811, 1128318991, 2201579179, 2715239543, 2840465567, 3510848161, 3688067693, 3893783651, 5089850089, 5825680093, 6649068043, 6778294049, 7064865859, 7912975891, 8099786711, 9010802341, 9327115723, 9491161423 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`It is conjectured that there exist arbitrarily long sequences of consecutive primes in arithmetic progression. As of December 2000 the record is 10 primes.`
	LINKS	`Index entries for sequences related to primes in arithmetic progressions`
	FORMULA	`Found by exhaustive search for 6 primes that are in arithmetic progression with all other intermediate numbers being composite.`
	CROSSREFS	`Cf. A033451, A059044.` `Adjacent sequences: A058359 A058360 A058361 this_sequence A058363 A058364 A058365` `Sequence in context: A015380 A038131 A081734 this_sequence A079332 A068247 A050289`
	KEYWORD	`nonn`
	AUTHOR	`Harvey Dubner (harvey(AT)dubner.com), Dec 18 2000`
	EXTENSIONS	`Corrected by Jud McCranie (j.mccranie(AT)comcast.net), Jan 04 2001` `a(11)-a(18) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 05 2008`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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