A007348 Primes for which -10 is a primitive root. (Formerly M3035)

3, 17, 29, 31, 43, 61, 67, 71, 83, 97, 107, 109, 113, 149, 151, 163, 181, 191, 193, 199, 227, 229, 233, 257, 269, 283, 307, 311, 313, 337, 347, 359, 389, 431, 433, 439, 443, 461, 467, 479, 509, 523, 541, 563, 577, 587, 593, 599, 631, 683, 701, 709, 719, 787, 821, 827, 839

Offset

1,1

Comments

Union of long period primes (A006883) of the form 4k+1 and half period primes (A097443) of the form 4k+3. - Davide Rotondo, Aug 25 2021

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), Table 24.8, p. 864.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

R. J. Mathar, Table of n, a(n) for n = 1..10000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Robert G. Wilson v, Letter to N. J. A. Sloane, Aug. 1993

Index entries for primes by primitive root

Mathematica

pr=-10; Select[Prime[Range[200 ] ], MultiplicativeOrder[pr, # ] == #-1 & ]

Prog

(PARI) is(n)=gcd(n, 10)==1 && znorder(Mod(-10, n))==n-1 \\ Charles R Greathouse IV, Nov 25 2014

Crossrefs

Cf. A038880.

Cf. A006883, A097443.

Sequence in context: A045436 A296925 A167806 * A105912 A249374 A106085

Adjacent sequences: A007345 A007346 A007347 * A007349 A007350 A007351

Keyword

nonn

Author

N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v

Extensions

More terms from N. J. A. Sloane, Apr 24 2005

Edited by N. J. A. Sloane, Aug 29 2008 at the suggestion of R. J. Mathar

A&S reference and Mathematica program corrected by T. D. Noe, Nov 04 2009

Status

approved