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A084548
Numbers k that have primitive roots less than k that are nonnegative perfect fifth powers.
3
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
1,1
LINKS
EXAMPLE
37 is in the sequence because 32 is a primitive root of 37 and 32 = 2^5.
MATHEMATICA
q[n_] := Intersection[PrimitiveRootList[n], Range[Floor @ Surd[n, 5]]^5] != {}; Select[Range[600], q] (* Amiram Eldar, Oct 07 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Hauke Worpel (hw1(AT)email.com), May 30 2003
EXTENSIONS
Data corrected and extended by Amiram Eldar, Oct 07 2021
STATUS
approved