A113771 - OEIS

%I #7 Feb 16 2025 08:32:59

%S 2,3,4,5,5,4,6,7,7,5,10,8,12,12,7,4,6,8,8,9,10,21,8,6,15,8,14,7,12,7,

%T 12,10,7,12,5,15,10,11,7,7,7,13,21,11,8,14,15,12,8,13,7,11,17,9,7,8,9,

%U 15,13,16,10,10,12,19,20,6,22,20,9,12,7,9,15,9,18,9,9,19,13,42,10,17,12,10

%N Largest gap between primitive roots of n-th prime.

%D R. Osborn, Tables of All Primitive Roots of Odd Primes Less Than 1000, Univ. Texas Press, 1961.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimitiveRoot.html">Primitive Root.</a>

%e For n=6, p_6=13, the primitive roots are 2,6,7,11, with largest gap 11-7=4. For n=5, p_5=11, the primitive roots are 2,6,7,8, with largest gap 2-8=5 (mod 11).

%Y Cf. A060749 (table), A001918 (least).

%K easy,nonn,changed

%O 1,1

%A _Franklin T. Adams-Watters_, Jan 19 2006