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The Philippines Contests
Philippine MO
2016 Philippine MO
2
Infinite primes in arithmetic sequence
Infinite primes in arithmetic sequence
Source: Philippines MO 2016/2
January 21, 2017
arithmetic sequence
number theory
Problem Statement
Prove that the arithmetic sequence
5
,
11
,
17
,
23
,
29
,
…
5, 11, 17, 23, 29, \ldots
5
,
11
,
17
,
23
,
29
,
…
contains infinitely many primes.
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