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A090089 Smallest even pseudoprimes to odd base=4n-1, not necessarily exceeding n. See also A007535 and A090085-A090088. +0
3
286, 6, 10, 14, 6, 22, 26, 6, 34, 38, 6, 46, 10, 6, 58, 62, 6, 10, 74, 6, 82, 86, 6, 94, 14, 6, 106, 10, 6, 118, 122, 6, 10, 134, 6, 142, 146, 6, 14, 158, 6, 166, 10, 6, 178, 14, 6, 10, 194, 6, 202, 206, 6, 214, 218, 6, 226, 10, 6, 14, 22, 6, 10, 254, 6, 262, 14, 6, 274, 278, 6 (list; graph; listen)
OFFSET

1,1

COMMENT

There are no even pseudoprimes to an even base.

FORMULA

a(n)=Min{x=4n-1 number; Mod[ -1+n^(x-1), x]=0}

EXAMPLE

n=1: base = 4n-1=3, smallest relevant power is -1+2^(286-1) which is divisible by 286.

Sieving further residue classes, smallest regularly arising pseudoprimes are 6,10 etc..

CROSSREFS

Cf. A007535, A090986-A090088.

Adjacent sequences: A090086 A090087 A090088 this_sequence A090090 A090091 A090092

Sequence in context: A093228 A043415 A105921 this_sequence A025384 A027798 A072817

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Nov 25 2003

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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