The student demonstrates a solid understanding of the mathematics associated with the selected topic, although there was a minor issue with the presentation of equations, specifically the use of multiple equal signs in a single line. The student effectively defines subject-specific terms and explains concepts such as modular arithmetic, congruences, and significant theorems, showing a thorough grasp of the material. Additionally, the student engages with and appropriately incorporates various sources throughout the essay, enhancing the discussion and providing context. The clarity of the explanations and the structure of the essay allow it to be understood by both knowledgeable individuals and those with a general interest, while all mathematical operations and transformations are clearly communicated and detailed. Overall, the student's work effectively conveys the necessary definitions and terminology, ensuring that the reader can follow the content without difficulty.