id:A059044 - OEIS Search Results

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Initial primes of sets of 5 consecutive primes in arithmetic progression. Each set has a constant difference of 30. These are the smallest of such primes.

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9843019, 37772429, 53868649, 71427757, 78364549, 79080577, 98150021, 99591433, 104436889, 106457509, 111267419, 121174811, 121174841, 168236119, 199450099, 203908891, 207068803, 216618187, 230952859, 234058871, 235524781, 253412317 (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 in arithmetic progression with all other intermediate numbers being composite.`
	CROSSREFS	`Cf. A033451 - 4 consecutive primes in arithmetic progression, A058362 - 6 consecutive primes in arithmetic progression` `Sequence in context: A017590 A072867 A034606 this_sequence A107617 A003809 A003802` `Adjacent sequences: A059041 A059042 A059043 this_sequence A059045 A059046 A059047`
	KEYWORD	`nonn`
	AUTHOR	`Harvey Dubner (harvey(AT)dubner.com), Dec 18 2000`
	EXTENSIONS	`a(16)-a(22) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 05 2008`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research