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A083388 a(n) = beginning of a run of n primes when x -> 3*x + 2 is iterated. 8
2, 3, 5, 29, 1129, 10009, 575119, 32694619, 586130089, 1030544269 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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) = 5 because 5 is the beginning of 3 primes in succession: 5, 3*5+2=17 is prime and 3*17+2=53 is prime.

PROG

(PARI) mx=1; forprime(p=1, 198000, x=p; m=0; while(isprime(x=3*x+2), m=m+1; if(m>mx, print(p, " ", m, " ", x); mx=m, )))

CROSSREFS

Cf. A057331, A081173.

Sequence in context: A093490 A073309 A110389 * A090475 A060301 A040119

Adjacent sequences:  A083385 A083386 A083387 * A083389 A083390 A083391

KEYWORD

nonn

AUTHOR

Edwin Clark (eclark(AT)math.usf.edu), Jun 09 2003

EXTENSIONS

PARI program from Donald S. McDonald (don.mcdonald(AT)paradise.net.nz), Jun 11 2003

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

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Last modified February 14 16:22 EST 2012. Contains 205635 sequences.