I have $2$ prime numbers $p_1$ and $p_2$. I have to find the solution of $\large{p_1t_1+p_2t_2=1}$ where $t_1$ and $t_2$ are integers. How do I do this?
2026-04-18 18:42:03.1776537723
A diophantine equation related to primes.
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This can be done using the extended Euclidean algorithm, which gives an $x$ and $y$ solving
$$p_1 x + p_2 y = \text{gcd}(p_1, p_2) = 1$$