Skip to main content
OlympiadHQ

Browse · harp

Print

smc

number theory senior

Problem

For each positive integer , let . What is the sum of all values of that are prime numbers?
(A)
(B)
(C)
(D)
(E)
Solution
To find the answer it was enough to play around with . One can easily find that is a prime, then becomes negative for between and , and then is again a prime number. And as is already the largest option, the answer must be .
Final answer
E