S:E22.136 (Cristina Vijdeluc, Mihai Vijdeluc)
Aflați numerele n {\displaystyle n} , p {\displaystyle p} natuarale neule pentru care 2 n 2 = 253 ⋅ ( p ! + 2022 ) {\displaystyle 2n^{2}=253\cdot \left(p!+2022\right)} , unde p ! = 1 ⋅ 2 ⋅ 3 ⋅ … ⋅ p {\displaystyle p!=1\cdot 2\cdot 3\cdot \ldots \cdot p} .
