Primes 2

Number Theory Level 3

The number of integers $n>1$ , such that $n,n+10,n+14$ are all prime numbers is

12 0 2 1 3 11

1 solution

Kalpok Guha
Oct 11, 2015

$n,n+10,n+14$ belongs to different residue classes of $mod 3$ .Hence one number is divisible by 3.Thus the only solution is $n=3$ .The triplet is $3,13,17$ .

Primes 2

1 solution

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