241

This number is a prime.

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The system of equations: 2w + 3x + 5y + 7z = 11; 13w + 17x + 19y + 23z = 29; 31w + 37x + 41y + 43z = 47; 53w + 59x + 61y + 67z = 71; has four fractions as its solution, each of which has denominator 241. [Rupinski]