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A110849 Consider the sequence a(0)=127 and for n>0, a(n) is the least prime of the form k * a(n-1)^2 - 1 where k is a multiple of 6. This sequence is the values of k. 0
30, 42, 30, 84, 516, 768, 804, 4806, 2838, 174, 23418, 22770 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

127,

30*127^2-1,

42*(30*127^2-1)^2-1,

30*(42*(30*127^2-1)^2-1)^2-1,

84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1,

516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1,

768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

4806*(804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

2838*(4806*(804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

174*(2838*(4806*(804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

23418*(174*(2838*(4806*(804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

and 22770*(23418*(174*(2838*(4806*(804*(768*(516*(84*(30*(42*(30*127^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1)^2-1,

are primes.

CROSSREFS

Sequence in context: A039297 A043900 A103098 * A074696 A127663 A008885

Adjacent sequences:  A110846 A110847 A110848 * A110850 A110851 A110852

KEYWORD

nonn

AUTHOR

Pierre CAMI (pierre-cami(AT)bbox.fr), Sep 17 2005

EXTENSIONS

Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Sep 26 2005

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.