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Search: id:A072190
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| A072190 |
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Indices of primes with primitive root 2. |
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+0
2
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| 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)
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OFFSET
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1,1
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COMMENT
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Artin conjectured that this sequence is infinitive.
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REFERENCES
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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
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LINKS
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M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
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EXAMPLE
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8 is element of the sequence. P(8)=19 the 8-th prime, and 2 is primitive root of 19. 9 is not element of the sequence, p(9)=23, and 2 is not primitive root of 23.
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CROSSREFS
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Cf. A001122, A001123, A001124, A001125.
Adjacent sequences: A072187 A072188 A072189 this_sequence A072191 A072192 A072193
Sequence in context: A006856 A140199 A072189 this_sequence A022826 A053035 A049862
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KEYWORD
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easy,nonn
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AUTHOR
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Miklos Kristof (kristmikl(AT)freemail.hu), Jul 02 2002
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