What are all ordered triples of positive primes ( $$\(p, q, r\)$$ ) which satisfy $$\(p^{q}+1=r\)$$ ?

A.
\((3,3,28)\)
B.
\((2,3,9)\)
C.
\((3,2,10)\)
D.
\((2,2,5)\)
Mathematics
Competition
Math League
Exam No:2018 First Round Grades 10-12 Year:2018 Question No:16

Answer:

D

Knowledge points:

G10-12 - Number Theory - Prime Factorization (Reasoning)

Solution:

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