Question: Elementary Number Theory 1.Let p 2 mod 5 be a prime number. Solve the system of congruences x1 mod 5 x347 mod p 2.A billionaire

Elementary Number Theory

1.Let p 2 mod 5 be a prime number. Solve the system of congruences

x1 mod 5

x347 mod p

2.A billionaire has built a rocket to fly to the moon. At what time will he land on the moon,

if he lifts off at 9 am and lands 74 hours later?

3.Is a = 5552226661177123 divisible by 11?

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