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Search: id:A002223
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| A002223 |
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Smallest prime p of form p = 8k-1 such that first n primes (p_1=2, ..., p_n) are quadratic residues mod p.
(Formerly M4382 N1843)
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+0
10
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| 7, 23, 71, 311, 479, 1559, 5711, 10559, 18191, 31391, 366791, 366791, 366791, 4080359, 12537719, 30706079, 36415991, 82636319, 120293879, 120293879, 131486759, 131486759, 2929911599, 2929911599, 7979490791, 33857579279
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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N. D. Bronson and D. A. Buell, Congruential sieves on FPGA computers, pp. 547-551 of Mathematics of Computation 1943-1993 (Vancouver, 1993), Proc. Symp. Appl. Math., Vol. 48, Amer. Math. Soc. 1994.
D. H. Lehmer, E. Lehmer and D. Shanks, Integer sequences having prescribed quadratic character, Math. Comp., 24 (1970), 433-451.
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. XV.
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EXAMPLE
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12^2 = 2 mod 71, 28^2 = 3 mod 71, 17^2 = 5 mod 71.
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CROSSREFS
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Cf. A045535, A002224, A002225.
Sequence in context: A141194 A045535 A001984 this_sequence A034563 A048539 A018886
Adjacent sequences: A002220 A002221 A002222 this_sequence A002224 A002225 A002226
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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EXTENSIONS
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The Bronson-Buell reference gives terms through 227.
More terms from Don Reble (djr(AT)nk.ca), Sep 19 2001
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