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A108989 Composite numbers n with primitive root 2; i.e. the order of 2 modulo n is phi(n). +0
1
9, 25, 27, 81, 121, 125, 169, 243, 361, 625, 729, 841, 1331, 1369, 2187, 2197, 2809, 3125, 3481, 3721, 4489, 6561, 6859, 6889, 10201, 11449, 14641, 15625, 17161, 19321, 19683, 22201, 24389, 26569, 28561, 29929, 32041, 32761, 38809, 44521, 50653 (list; graph; listen)
OFFSET

1,1

EXAMPLE

Modulo 9: 2^1=2, 2^2=4, 2^3=8, 2^4=7, 2^5=5, 2^6=1 and Phi(9)=6.

PROGRAM

(GAP) for i in [2..100000] do if not IsPrime(i) then if IsPrimitiveRootMod(2, i) then Display(i); fi; fi; od;

CROSSREFS

Cf. A001122.

Sequence in context: A075109 A117580 A020308 this_sequence A068583 A074852 A020252

Adjacent sequences: A108986 A108987 A108988 this_sequence A108990 A108991 A108992

KEYWORD

nonn

AUTHOR

Douglas Stones (dssto1(AT)student.monash.edu.au), Jul 28 2005

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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