Prime Triples
Number Theory
Level
1
Prime Triples are three consecutive prime numbers that differ by 2 (successive odd numbers that are all prime numbers).
How many Prime Triples are there?
1
4
None
3
2
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1 solution
Note that For three consecutive odd numbers, at least one of them must be divisible by 3
If one of the three numbers is divisible by 3, then they cannot all be prime numbers. The exception is 3 itself, so there is only one triple of primes: (3, 5, 7).