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Solve the Problem n2n+41\mathrm { n } ^ { 2 } - \mathrm { n } + 41

Question 75

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Solve the problem.
-Euler conjectured that the formula n2n+41\mathrm { n } ^ { 2 } - \mathrm { n } + 41 would generate prime numbers for whole numbers n\mathrm { n } . The formula generates prime numbers for n\mathrm { n } up to 40 and fails at n=41\mathrm { n } = 41 .
Evaluate Euler's formula for n=42n = 42 and determine whether this is a prime number. If it is not a prime number, give its prime factors.

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