OFFSET
0,2
REFERENCES
I. M. Vinogradov, Elements of Number Theory, pp. 220 ff.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).
FORMULA
EXAMPLE
As 5^5 = 3125 = k * 97 + 21 for some k and 0 <= 21 < 97, a(5) = 21. - David A. Corneth, Oct 17 2018
MAPLE
[ seq(primroot(ithprime(i))^j mod ithprime(i), j=0..100) ];
MATHEMATICA
PowerMod[5, Range[0, 100], 97] (* G. C. Greubel, Oct 17 2018 *)
PROG
(PARI) a(n)=lift(Mod(5, 97)^n) \\ Charles R Greathouse IV, Mar 22 2016
(Python) for n in range(0, 100): print(int(pow(5, n, 97)), end=' ') # Stefano Spezia, Oct 17 2018
(GAP) List([0..60], n->PowerMod(5, n, 97)); # Muniru A Asiru, Oct 17 2018
(Magma) [Modexp(5, n, 97): n in [0..100]]; // G. C. Greubel, Oct 18 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved