A163956 Multiplicative order of 2 in Z/mZ with m = A002997(n).

40, 24, 36, 56, 60, 660, 198, 252, 45, 180, 60, 144, 153, 1012, 36, 120, 300, 72, 36, 1160, 60, 36, 300, 56, 36, 660, 4284, 264, 420, 3060, 2268, 180, 540, 1680, 120, 4900, 1080, 396, 72, 72, 60, 60, 144, 2970, 612, 396, 324, 210, 180, 540, 504, 792, 198, 180

Offset

1,1

Comments

Related sequence: A162990. - A.K. Devaraj, Aug 31 2009

References

A. K. Devaraj, "Minimum universal exponent generalisation of Fermat's theorem" (ISSN 1550-3747)

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A002326((A002997(n)-1)/2) = A007733(A002997(n)). - Amiram Eldar, Jul 30 2020

Mathematica

MultiplicativeOrder[2, #] & /@ Select[Range[1, 10^6, 2], CompositeQ[#] && Divisible[# - 1, CarmichaelLambda[#]] &] (* Amiram Eldar, Jul 30 2020 *)

Crossrefs

Cf. A002326, A002997, A007733, A104016, A162990, A165139.

Sequence in context: A029543 A097208 A216137 * A229661 A070724 A035878

Adjacent sequences: A163953 A163954 A163955 * A163957 A163958 A163959

Keyword

nonn

Author

A.K. Devaraj, Aug 28 2009

Extensions

Corrected and extended by M. F. Hasler, Sep 23 2009

Edited by N. J. A. Sloane, Sep 23 2009, following suggestions from M. F. Hasler

More terms from Amiram Eldar, Jul 30 2020

Status

approved