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A029932 Primes with record values of the least positive prime primitive root. +0
2
3, 7, 23, 41, 109, 191, 271, 2791, 11971, 31771, 190321, 2080597, 3545281, 4022911, 73189117, 137568061, 443571241, 565822531, 1160260711, 1622723341, 31552100581, 81651092041, 96736641541, 1867622877121, 5000346134911 (list; graph; listen)
OFFSET

1,1

COMMENT

Other terms in the sequence: 39227234631271, 66597722601061 and 84054326426071 -Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 19 2008

REFERENCES

R. Osborn, Tables of All Primitive Roots of Odd Primes Less Than 1000, Univ. Texas Press, 1961.

Paszkiewicz, A. and Schinzel, A., On the least prime primitive root modulo a prime, Math. Comp. 71 (2002), no. 239, 1307-1321.

A. E. Western and J. C. P. Miller, Tables of Indices and Primitive Roots. Royal Society Mathematical Tables, Vol. 9, Cambridge Univ. Press, 1968, p. XLV.

LINKS

Index entries for primes by primitive root

Tomas Oliveira e Silva, Counts of least primitive roots of prime numbers (Artin's conjecture)

Tomas Oliveira e Silva, Least prime primitive roots

Paszkiewicz, A. and Schinzel, A., On the least prime primitive root modulo a prime, Math. Comp. 71 (2002), no. 239, 1307-1321.

CROSSREFS

Cf. A060749, A002230, A084735.

Adjacent sequences: A029929 A029930 A029931 this_sequence A029933 A029934 A029935

Sequence in context: A053027 A133432 A133433 this_sequence A084739 A133434 A122870

KEYWORD

nonn,nice

AUTHOR

Scott Lindhurst (ScottL(AT)alumni.princeton.edu)

EXTENSIONS

Corrected by Jud McCranie (j.mccranie(AT)comcast.net), Jan 04 2001

2 more terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Feb 19 2008

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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