A084548 Numbers k that have primitive roots less than k that are nonnegative perfect fifth powers.
2, 37, 53, 59, 67, 81, 83, 107, 139, 149, 163, 169, 173, 179, 197, 227, 243, 254, 257, 269, 274, 278, 283, 289, 293, 298, 317, 326, 343, 346, 347, 349, 353, 361, 373, 379, 389, 394, 398, 419, 443, 446, 449, 463, 466, 467, 487, 509, 514, 523, 538, 547, 557, 563
Offset: 1
Keywords
Examples
37 is in the sequence because 32 is a primitive root of 37 and 32 = 2^5.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
q[n_] := Intersection[PrimitiveRootList[n], Range[Floor @ Surd[n, 5]]^5] != {}; Select[Range[600], q] (* Amiram Eldar, Oct 07 2021 *)
Extensions
Data corrected and extended by Amiram Eldar, Oct 07 2021