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A066746 Conjectured values of a(n) defined by a(n) = least number of applications of f(k) = k^2 + 1 to n to yield a prime, if this number exists; = -1 otherwise. +0
1
1, 0, 0, 1, 0, 1, 0, 3, -1, 1, 0 (list; graph; listen)
OFFSET

1,8

COMMENT

a(9) = -1 is conjectural. If a(9) is positive, then a(9) > 14. (f^15)(9) already has several thousand digits. (f^n denotes f applied n times.)

EXAMPLE

f(f(f(8))) = f(f(65)) = f(4226) = 17859077, a prime. Since 8, 65, 4226 are prime, then a(8) = 3.

CROSSREFS

Sequence in context: A114151 A110518 A006837 this_sequence A074063 A115717 A115718

Adjacent sequences: A066743 A066744 A066745 this_sequence A066747 A066748 A066749

KEYWORD

more,sign

AUTHOR

Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Jan 16 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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