Science Fair Project Encyclopedia
Primorial prime
Primorial primes are prime numbers of the form pn# ± 1, where pn# is the primorial of pn.
pn# - 1 is prime for n = 2, 3, 5, 6, 13, 24, ... (Sloane A057704)
pn# + 1 is prime for n = 1, 2, 3, 4, 5, 11, ... (Sloane A014545)
The largest known primorial prime is 392113#+1, found in 2001 by Daniel Heuer.
The idea of primorial primes appears in Euclid's proof of the infinitude of the prime numbers.
See also
External links
- The Prime Pages - Top ten: keeps a list of the top ten primorial primes
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details