[ Arithmetic progression
[ Divisibility of numbers. General properties ]
[ Examples and counterexamples. Constructions ]

Find a finite arithmetic progression with a common difference of 6 and of maximum length, consisting of prime numbers.
Among any five consecutive terms of such an arithmetic progression, one is necessarily divisible by 5. If it is not 5, then there will be no more than four consecutive prime numbers.

## Answer

$5,11,17,23,29$.