A007349 Primes with both 10 and -10 as primitive root. (Formerly M5034)

17, 29, 61, 97, 109, 113, 149, 181, 193, 229, 233, 257, 269, 313, 337, 389, 433, 461, 509, 541, 577, 593, 701, 709, 821, 857, 937, 941, 953, 977, 1021, 1033, 1069, 1097

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.

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

Links

Table of n, a(n) for n=1..34.

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].

R. 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, # ] == MultiplicativeOrder[-pr, # ] == #-1 &]
Select[Prime[Range[5, 200]], PrimitiveRoot[#, 10]==10&&PrimitiveRoot[#, #-10] == #-10&] (* Harvey P. Dale, Oct 10 2019 *)

Crossrefs

Sequence in context: A190556 A241485 A089629 * A154616 A196938 A225943

Adjacent sequences: A007346 A007347 A007348 * A007350 A007351 A007352

Keyword

nonn

Author

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

Status

approved