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Search: id:A084954
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| A084954 |
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Initial prime of a prime chain of length n under the iteration x->2x+3. |
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+0
11
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| 2, 2, 2, 2, 47, 47, 6047, 477727, 30596497, 3388516667, 340746580567, 1763093883977, 773521306107547, 1142275515892937
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is a special case of prime chains generated by f(x) = cx + d.
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REFERENCES
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D. H. Lehmer, On certain chains of primes, Proc. London Math. Soc. (3) 14a 1965 183-186.
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EXAMPLE
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a(3) = 2 since 2, 2*2+3=7 and 2*7+3=17 are primes.
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CROSSREFS
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Cf. A057330, A057331, A083388, A084955, A084956, A084957, A084958, A084959, A084960, A084961, A128509, A134701, A134702.
Sequence in context: A029627 A075182 A154288 this_sequence A049300 A084957 A035307
Adjacent sequences: A084951 A084952 A084953 this_sequence A084955 A084956 A084957
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KEYWORD
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nonn,more
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AUTHOR
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W. Edwin Clark (eclark(AT)math.usf.edu), Jun 14 2003
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EXTENSIONS
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More terms from Don Reble (djr(AT)nk.ca), Nov 07 2007
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