πŸ§ͺ Wall-Sun-Sun Prime (Fibonacci-Wieferich Prime) Tester

Enter a positive integer n (best for primes 7–100,000; none known to exist):

Definition: A prime p > 5 is Wall–Sun–Sun (Fibonacci-Wieferich) if pΒ² divides Fp βˆ’ Ξ΅ where Ξ΅ = (5/p) Legendre symbol.
β€’ Ξ΅ = +1 if p ≑ Β±1 (mod 5) β†’ check Fpβˆ’1 ≑ 0 mod pΒ²
β€’ Ξ΅ = βˆ’1 if p ≑ Β±2 (mod 5) β†’ check Fp+1 ≑ 0 mod pΒ²
No such primes are known (searched far beyond 10¹⁴); expect β€œNO” every time.

Auto-Test checks these small/interesting primes: small ones, Fibonacci primes, and known Wieferich primes (1093, 3511).