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A001986 Let p = n-th odd prime. Then a(n) = least prime congruent to 3 modulo 8 such that Legendre(-a(n), q) = -1 for all odd primes q <= p.
(Formerly M5073 N2195)
+0
6
19, 43, 43, 67, 67, 163, 163, 163, 163, 163, 163, 222643, 1333963, 1333963, 2404147, 2404147, 20950603, 51599563, 51599563, 96295483, 96295483, 146161723, 1408126003, 3341091163, 3341091163, 3341091163, 52947440683 (list; graph; listen)
OFFSET

1,1

COMMENT

Numbers so far are all 19 mod 24. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Jul 07 2003

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

M. J. Jacobson, Jr., Computational Techniques in Quadratic Fields, Master's thesis, University of Manitoba, Winnipeg, Manitoba, 1995.

Jacobson, Michael J., Jr. and Williams, Hugh C., New quadratic polynomials with high densities of prime values, Math. Comp. 72 (2003), no. 241, 499-519.

D. H. Lehmer, E. Lehmer and D. Shanks, Integer sequences having prescribed quadratic character, Math. Comp., 24 (1970), 433-451.

CROSSREFS

Cf. A001987, A094841-A094845, etc.

Sequence in context: A139580 A156897 A094841 this_sequence A139811 A095101 A162856

Adjacent sequences: A001983 A001984 A001985 this_sequence A001987 A001988 A001989

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Revised Jun 14 2004

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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