|
|
A213050
|
|
Primes of the form 4*k+1 with primitive root +2.
|
|
2
|
|
|
5, 13, 29, 37, 53, 61, 101, 149, 173, 181, 197, 269, 293, 317, 349, 373, 389, 421, 461, 509, 541, 557, 613, 653, 661, 677, 701, 709, 757, 773, 797, 821, 829, 853, 877, 941, 1061, 1109, 1117, 1213, 1229, 1237, 1277, 1301, 1373, 1381, 1453, 1493, 1549, 1621
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Primes p such that both +2 and -2 are primitive roots mod p.
|
|
LINKS
|
|
|
MATHEMATICA
|
Select[Prime[Range[300]], Mod[#, 4] == 1 && PrimitiveRoot[#, 2] == 2&] (* Jean-François Alcover, Jul 22 2018 *)
|
|
PROG
|
(PARI)
{ forprime (p=3, 10^4,
rp = znorder(Mod(+2, p));
rm = znorder(Mod(-2, p));
if ( (rp==p-1) && (rm==p-1), print1(p, ", ") );
); }
|
|
CROSSREFS
|
Cf. A213051 (primes 4*k+3 with primitive root +2).
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|