## SUBJECT 1.

Determine the prime numbers $a, b, c$ with the property: $27a + 145b + 15c = 2015$.
## Subject 1.

![](https://cdn.mathpix.com/cropped/2024_06_07_d87a0d67c55a5fa39cefg-2.jpg?height=70&width=1629&top_left_y=519&top_left_x=191)

![](https://cdn.mathpix.com/cropped/2024_06_07_d87a0d67c55a5fa39cefg-2.jpg?height=62&width=1630&top_left_y=582&top_left_x=193)

Verification that for \( b \in \{2,3,5,7\} \) no suitable solutions are obtained ............................. \( 2 \) p

![](https://cdn.mathpix.com/cropped/2024_06_07_d87a0d67c55a5fa39cefg-2.jpg?height=60&width=1630&top_left_y=704&top_left_x=193)