Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 467. (September 2015)

K. 467. Let $\displaystyle p$ denote a prime number greater than 3 and less than 1000. What are the chances that $\displaystyle p−1$ or $\displaystyle p+1$ is divisible by 6?

(6 pont)

Deadline expired on October 12, 2015.

Statistics:

 142 students sent a solution. 6 points: 78 students. 5 points: 22 students. 4 points: 4 students. 3 points: 4 students. 2 points: 6 students. 1 point: 17 students. 0 point: 11 students.

Problems in Mathematics of KöMaL, September 2015