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Search: id:A033451
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| A033451 |
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Initial prime in set of 4 consecutive primes in arithmetic progression with common difference 6. |
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+0
39
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| 251, 1741, 3301, 5101, 5381, 6311, 6361, 12641, 13451, 14741, 15791, 15901, 17471, 18211, 19471, 23321, 26171, 30091, 30631, 53611, 56081, 62201, 63691, 71341, 75521, 77551, 78791, 80911, 82781, 83431, 84431, 89101, 89381, 91291, 94421
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Primes p such that p, p+6, p+12, p+18 are consecutive primes.
It is conjectured that there exist arbitrarily long sequences of consecutive primes in arithmetic progression. As of December 2000 the record is 10 primes.
Subsequence of A023271. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 04 2006
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
Index entries for sequences related to primes in arithmetic progressions
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EXAMPLE
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251,257,263,269 are consecutive primes: 257=251+6,263=251+12,269=251+18
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CROSSREFS
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Cf. A090832, A090833, A090834, A090835, A090836, A090837, A090838, A090839.
Analogous sequences [with common difference in square brackets]: A033451 [6], A033447 [12], A033448 [18], A052242 [24], A052243 [30].
Cf. A058362, A059044.
Cf. A047948 (three consecutive primes with difference 6)
Sequence in context: A025396 A099734 A054800 this_sequence A090834 A078968 A052239
Adjacent sequences: A033448 A033449 A033450 this_sequence A033452 A033453 A033454
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KEYWORD
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nonn
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AUTHOR
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Jeff Burch (jmburch(AT)osprey.smcm.edu)
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