A025046 a(n) = the least odd prime p such that there are exactly n consecutive quadratic remainders modulo p.

3, 5, 19, 17, 67, 71, 131, 73, 277, 311, 827, 241, 1607, 2543, 3691, 1559, 6803, 5711, 14969, 1009, 43103, 10559, 52057, 2689, 90313, 162263, 127403, 18191, 209327, 31391, 607153, 8089, 1305511, 298483, 1694353, 33049, 3205777, 1523707

Offset

2,1

Comments

The values -1,0,+1 are considered consecutive.

Links

Table of n, a(n) for n=2..39.

Example

a(5)=17 because -2,-1,0,+1,+2 are quadratic remainders, squares of 7,4,0,1,11.

Crossrefs

Cf. A097159.

Sequence in context: A272019 A270723 A242961 * A305700 A299073 A329797

Adjacent sequences: A025043 A025044 A025045 * A025047 A025048 A025049

Keyword

nonn

Author

David W. Wilson

Extensions

Edited by Don Reble, May 31 2007

Status

approved