A001126 - OEIS

A001126

Primes with 7 as smallest primitive root.
(Formerly M5348 N2325)

71, 239, 241, 359, 431, 499, 599, 601, 919, 997, 1051, 1181, 1249, 1439, 1609, 1753, 2039, 2089, 2111, 2179, 2251, 2281, 2341, 2591, 2593, 2671, 2711, 2879, 3119, 3121, 3169, 3181, 3457, 3511, 3541, 3719, 3739, 3769, 4271, 4513, 4799, 4801, 4943, 5197

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

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

M. Kraitchik, Recherches sur la Théorie des Nombres. Gauthiers-Villars, Paris, Vol. 1, 1924, Vol. 2, 1929, see Vol. 1, p. 58.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

LINKS

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

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].

Index entries for primes by primitive root

MATHEMATICA

Prime[ Select[ Range[1000], PrimitiveRoot[ Prime[ # ] ] == 7 & ] ]

Select[ Prime@Range@700, PrimitiveRoot@# == 7 &] (* Robert G. Wilson v, May 11 2001 *)

PROG

(PARI) is(n)=n>9&&isprime(n)&&znorder(Mod(7, n))+1==n \\ Charles R Greathouse IV, Mar 20 2013

CROSSREFS

Sequence in context: A096698 A159472 A160369 * A140628 A123038 A325079

Adjacent sequences: A001123 A001124 A001125 * A001127 A001128 A001129

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Robert G. Wilson v, May 10 2001

STATUS

approved