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A118818 Primes p for which there are more primitive roots below p/2 than above p/2. 5
223, 379, 463, 631, 691, 883, 907, 1051, 1423, 1447, 1543, 1723, 1747, 1783, 1987, 2143, 2179, 2347, 2467, 2591, 2767, 3259, 3307, 3511, 3631, 3691, 3739, 3823, 3907, 4219, 4447, 4507, 4519, 4639, 4987, 5023, 5107, 5119, 5347, 5683, 5923 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms are of the form 4*m + 3 (see A172480 and A172490). - Emmanuel Vantieghem, Nov 07 2016
LINKS
EXAMPLE
223 is a term because it has 38 primitive roots below 111.5, but 34 above 111.5.
MATHEMATICA
q[n_] := PrimeQ[n] && Length[(p = PrimitiveRootList[n])] > 2*Count[p, _?(# > n/2 &)]; Select[4*Range[0, 1500] + 3, q] (* Amiram Eldar, Oct 11 2021 *)
CROSSREFS
Sequence in context: A142386 A102950 A143801 * A142437 A142773 A096660
KEYWORD
nonn
AUTHOR
Don Reble, Apr 20 2007
STATUS
approved

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Last modified August 29 15:03 EDT 2024. Contains 375517 sequences. (Running on oeis4.)