SOLUTION: Suppose that p, q, r are three consecutive primes with 11 ≤ p < q < r. What is the minimum number of prime factors (not necessarily distinct) that p + r can have? (Note that 27 i

Algebra ->  Finance -> SOLUTION: Suppose that p, q, r are three consecutive primes with 11 ≤ p < q < r. What is the minimum number of prime factors (not necessarily distinct) that p + r can have? (Note that 27 i      Log On


   



Question 1162879: Suppose that p, q, r are three consecutive primes with 11 ≤ p < q < r. What is the minimum number of prime factors (not necessarily distinct) that p + r can have? (Note that 27 is considered to have 3 prime factors.)
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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Under the given condition,   p + r   is an  EVEN  number greater than  2.

As such,  it has  AT  LEAST  two prime factors,  of whom  2  is one of the factors.

Therefore,  the answer to the problem's question is  2.