Koliko ima brojeva
takvih da je
Find the number of integers
such that
[lang=hr]
Koliko ima brojeva $x \in \{1, 2, \ldots, 5^{99} \cdot 4 \}$ takvih da je $$2^x \equiv 3^{(x^2)} \pmod{5^{100}}?$$
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[lang=en]
Find the number of integers $x \in \{1, 2, \ldots, 5^{99} \cdot 4 \}$ such that $$2^x \equiv 3^{(x^2)} \pmod{5^{100}}.$$
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