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A097161 Number of primes modulo which the largest number of consecutive quadratic residues is n. 3

%I #6 Mar 30 2012 17:31:05

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

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

%C 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

%e 7, 13 & 17 have exactly two consecutive quadratic residues.

%e 11, 41 & 53 have exactly three consecutive quadratic residues.

%e 19, 23, 29, 31, 37, 47, 73, 89, 97, 149 & 193 have exactly four consecutive quadratic residues.

%e 43, 59, 61, 109, 113, 139, 229, 313, 317, 337, 397 & 457 have exactly five consecutive quadratic residues.

%e 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.

%Y Cf. A097159, A097160.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Jul 29 2004

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