A097161 Number of primes modulo which the largest number of consecutive quadratic residues is n.

3, 3, 3, 11, 12, 34, 54, 97, 180, 351

Offset

1,1

Comments

I am not sure how many of these entries have been proved to be correct. See comments in A097160. - N. J. A. Sloane, Jan 01 2007

Links

Table of n, a(n) for n=1..10.

Example

7, 13 & 17 have exactly two consecutive quadratic residues.
11, 41 & 53 have exactly three consecutive quadratic residues.
19, 23, 29, 31, 37, 47, 73, 89, 97, 149 & 193 have exactly four consecutive quadratic residues.
43, 59, 61, 109, 113, 139, 229, 313, 317, 337, 397 & 457 have exactly five consecutive quadratic residues.
67, 71, 79, 107, 137, 157, 163, 167, 173, 179, 181, 191, 199, 233, 239, 241, 257, 281, 349, 353, 373, 409, 431, 577, 601, 617, 641, 769, 797, 857, 881, 1049, 1373 & 2153 have exactly six consecutive quadratic residues.

Crossrefs

Cf. A097159, A097160.

Sequence in context: A129227 A252748 A346869 * A274993 A233202 A101480

Adjacent sequences: A097158 A097159 A097160 * A097162 A097163 A097164

Keyword

nonn

Author

Robert G. Wilson v, Jul 29 2004

Status

approved