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A047713 Euler-Jacobi pseudoprimes: 2^{(n-1)/2} == (2 / n) mod n.
(Formerly M5461)
+0
3
561, 1105, 1729, 1905, 2047, 2465, 3277, 4033, 4681, 6601, 8321, 8481, 10585, 12801, 15841, 16705, 18705, 25761, 29341, 30121, 33153, 34945, 41041, 42799, 46657, 49141, 52633, 62745, 65281, 74665, 75361, 80581, 85489, 87249, 88357, 90751, 104653 (list; graph; listen)
OFFSET

1,1

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, A12.

H. Riesel, Prime numbers and computer methods for factorization, Progress in Mathematics, Vol. 57, Birkhauser, Boston, 1985.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to pseudoprimes

MATHEMATICA

Select[ Range[ 3, 105000, 2 ], Mod[ 2^((# - 1)/2) - JacobiSymbol[ 2, # ], # ] == 0 && ! PrimeQ[ # ] & ]

CROSSREFS

Cf. A002997, A001567.

Sequence in context: A137198 A141705 A135721 this_sequence A006971 A104016 A002997

Adjacent sequences: A047710 A047711 A047712 this_sequence A047714 A047715 A047716

KEYWORD

nonn,nice

AUTHOR

njas, Richard Pinch (rgep(AT)chalcedon.demon.co.uk) and Robert G. Wilson v (rgwv(AT)rgwv.com)

EXTENSIONS

Corrected by Eric Weisstein (eric(AT)weisstein.com); more terms from David W. Wilson (davidwwilson(AT)comcast.net)

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


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