|
Search: id:A072190
|
|
|
| A072190 |
|
Indices of primes with primitive root 2. |
|
+0
2
|
|
| 2, 3, 5, 6, 8, 10, 12, 16, 17, 18, 19, 23, 26, 28, 32, 34, 35, 38, 40, 41, 42, 45, 47, 49, 57, 62, 66, 69, 70, 74, 75
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Artin conjectured that this sequence is infinite (this is the famous Artin Conjecture).
|
|
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
J. H. Conway and R. K. Guy, The Book of Numbers, Copernicus Press, New York, 1996. see p. 169
L. Huber, manuscripts on Group Theory and Number Theory, 1990-1995
|
|
LINKS
|
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 sequences related to Artin's conjecture
|
|
EXAMPLE
|
8 is an element of the sequence: 19 the 8-th prime and 2 is primitive root of 19. 9 is not element of the sequence, since 23 is the 9th prime and 2 is not primitive root of 23.
|
|
CROSSREFS
|
Cf. A001122, A001123, A001124, A001125.
Sequence in context: A045919 A006856 A140199 this_sequence A022826 A053035 A160009
Adjacent sequences: A072187 A072188 A072189 this_sequence A072191 A072192 A072193
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Miklos Kristof (kristmikl(AT)freemail.hu), Jul 02 2002
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane, Apr 11 2009
|
|
|
Search completed in 0.002 seconds
|
