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Search: id:A084956
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| A084956 |
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Initial prime of a prime chain of length n under the iteration x->3x+4. |
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+0
7
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| 2, 3, 3, 23, 3203, 34613, 165443, 1274803, 26314573, 26314573
(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.
a(11) > 8695354111. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 27 2008]
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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)=3 since 3, f(3) =13 and f(13) = 43 are primes when f(x) = 3x+4
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CROSSREFS
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Cf. A057330, A057331, A083388, A084954, A084955, A084957, A084958, A084959, A084960, A084961.
Sequence in context: A062168 A019229 A135353 this_sequence A100650 A096502 A101462
Adjacent sequences: A084953 A084954 A084955 this_sequence A084957 A084958 A084959
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KEYWORD
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more,nonn
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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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a(9)-a(10) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 27 2008
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