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In mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn.
Primality tests show that
The first term of the second sequence is 0 because p0# = 1 is the empty product, and thus p0# + 1 = 2, which is prime. Similarly, the first term of the first sequence is not 1, because p1# = 2, and 2 − 1 = 1 is not prime.
The first few primorial primes are
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