A047933 Consider primes p with least positive primitive root g such that q=p+g is next prime after p; sequence gives values of q.

3, 5, 7, 13, 31, 61, 103, 109, 151, 157, 181, 199, 229, 257, 271, 277, 347, 349, 373, 421, 463, 661, 739, 823, 829, 977, 997, 1021, 1031, 1063, 1093, 1231, 1279, 1303, 1429, 1453, 1621, 1669, 1789, 1879, 1933, 1951, 1999, 2029, 2143, 2239, 2269, 2311

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.

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

Example

11 has primitive root 2 and 11+2 = 13 is prime after 11, so 13 is in sequence.

Mathematica

Total/@Select[{#, PrimitiveRoot[#]}&/@Prime[Range[400]], NextPrime[ First[#]] == Total[#]&]  (* Harvey P. Dale, Feb 18 2011 *)

Crossrefs

Cf. A047934, A047935. See also A001918.

Sequence in context: A191473 A290482 A179633 * A075557 A244452 A057187

Adjacent sequences: A047930 A047931 A047932 * A047934 A047935 A047936

Keyword

nice,nonn

Author

Felice Russo

Extensions

More terms from James A. Sellers, Dec 22 1999

Status

approved