|
|
A353943
|
|
Smallest b > 1 such that b^(p-1) == 1 (mod p^10) for p = prime(n).
|
|
8
|
|
|
1025, 59048, 3626068, 135967276, 1509748675, 14149342837, 109522148350, 649340249056, 191730243526, 45941644105613, 6359301533362, 24287026146320, 265934493600922, 927939012431924, 1377672497815095, 4440230734662684, 10400007512898615, 12198961352308417
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
PROG
|
(PARI) a(n) = my(p=prime(n)); for(b=2, oo, if(Mod(b, p^10)^(p-1)==1, return(b)))
(Python)
from sympy.ntheory.residue_ntheory import nthroot_mod
from sympy import prime
def A353943(n): return 2**10+1 if n == 1 else int(nthroot_mod(1, (p:= prime(n))-1, p**10, True)[1]) # Chai Wah Wu, May 17 2022
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|