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A084959 Initial prime of a prime chain of length n under the iteration x->5x+6. +0
7
2, 5, 7, 7, 79, 79, 345431, 21171649, 34640153, 4174239239 (list; graph; listen)
OFFSET

1,1

COMMENT

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]

REFERENCES

D. H. Lehmer, On certain chains of primes, Proc. London Math. Soc. (3) 14a 1965 183-186.

EXAMPLE

a(3)=13 since 7, f(7) =41 and f(41) = 211 are primes when f(x) = 5x+6

CROSSREFS

Cf. A057330, A057331, A083388, A084954, A084955, A084956, A084957, A084958, A084960, A084961.

Sequence in context: A120303 A093413 A004099 this_sequence A021799 A154848 A061770

Adjacent sequences: A084956 A084957 A084958 this_sequence A084960 A084961 A084962

KEYWORD

more,nonn

AUTHOR

W. Edwin Clark (eclark(AT)math.usf.edu), Jun 14 2003

EXTENSIONS

a(7) corrected and a(8)-a(10) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 27 2008

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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