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Solve the Problem M14\mathrm { M } _ { 14 }

Question 72

Essay

Solve the problem.
-Given that the following statement is true, explain how you would use this fact to find two distinct factors of the Mersenne number M14\mathrm { M } _ { 14 } . Then calculate those two factors.
"If p\mathrm { p } is a prime factor of n\mathrm { n } , then 2p12 \mathrm { p } - 1 is a factor of the Mersenne number 2n12 ^ { \mathrm { n } } - 1 ."

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