Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Modular Arithmetichard
0:00.0

Consider the Hensel lifting process for the polynomial f(x)=x2−2f(x) = x^2 - 2f(x)=x2−2. For which prime ppp does the congruence x2≡2(modpk)x^2 \equiv 2 \pmod{p^k}x2≡2(modpk) have a unique solution for all k≥1k \ge 1k≥1?