No.
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As the number 1 is considered a special case and not a prime, there cannot be three consecutive numbers that are prime. Any three consecutive numbers must include at least one even number. With the exception of the number 2, no even numbers are prime.
0, 1, 2
2, 3Those two are consecutive, natural and prime numbers! It's as easy as one, two, three! (Pun intended)
8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.
It is a statement of numerical fact.