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A094847 Let p = n-th odd prime. Then a(n) = least positive integer congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p. +0
3
5, 53, 173, 173, 293, 437, 9173, 9173, 24653, 74093, 74093, 74093, 170957, 214037, 214037, 214037, 2004917, 44401013, 71148173, 154554077, 154554077, 163520117, 163520117, 163520117, 261153653, 261153653, 1728061733 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

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.

CROSSREFS

Cf. A094842-A094846, A094848-A094850, etc., A001992, A001986, A001987.

Adjacent sequences: A094844 A094845 A094846 this_sequence A094848 A094849 A094850

Sequence in context: A106097 A075540 A006562 this_sequence A001992 A094849 A094852

KEYWORD

nonn

AUTHOR

njas, Jun 14 2004

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Last modified May 12 19:26 EDT 2008. Contains 139661 sequences.


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