"Sexy" Primes

Number Theory Level 3

A Sexy Prime Sequence is give by a arithmetical progression of primes numbers adding 6, and all terms of this A.P are primes.:

\(P, P+6, P+12, P+18... \) P is a prime number and P+6, P+12... are all prime numbers.

In other words you can make sequences of primes numbers, adding 6 and get new primes.

We can have 2 terms sequences: (11,17) (5,11). Three terms sequences (5, 11, 17) (11, 17, 23), etc.

How large can be one sequence of Sexy Primes?


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