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

Author

Robert G. Wilson v, Jul 29 2004

Keywords

• nonn

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

Examples

			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.