Prime Gap of 1

Number Theory Level 2

Suppose a a and b b are positive integers such that a > 2 a > 2 and b = a + 1 b = a + 1 .

Can a a and b b both be primes ?

No Yes

Steven Chase by Steven Chase , 37, USA

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1 solution

If a is prime it has to be odd since a>2. So a+1 will be even and so their are not both prime

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