1. Answer each of the following statements as true or false. a. If a divides bc

Question

1. Answer each of the following statements as true or false. a. If a divides bc and a does not divide b, then a divides c. b, May 20, 2015 will fall on a Wednesday. c, 2501-1 is a pseudoprime to the base 2. sequence (fn f d. If f and f' are two consecutive Fibonacci numbers, then the contains infinitely many primes. e. v62020 202014520 2014 is rational f. If p is a prime number, then p (5p) 4(p 1). g. The 111111r 123456y 1999 has solutions in integers r, y. Diophantine equation h. If j and k are natural numbers, then j a k(mod m) implies 2U s (mod m) i. There are infinitely many Carmichael numbers. j. There are infinitely many Mersenne primes if and only if there are infinitely many even perfect numbers.

Explanation / Answer

a) true

b) true

c) false

d) true

e) true

f) false

g) false

h) true

i) false

j) true

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