# Lambert Prime Number Formula

#### Copyright 2007, Carl L. Lambert

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Note that a primorial is  the  product  of all
prime numbers from  2  up to  and  including  the
chosen  prime  number.  Its  math  symbol  is the
number sign (or pound sign, or hashtag, #).  Also
the  asterisk   (*)   is  used  herein   for  the
multiplication symbol. The example of 7 primorial
therefore is:--

7# = 2 * 3 * 5 * 7 = 210

The  Lambert  prime  number  formula  is  very
similar in appearance to  the  primorial  formula
except herein  the primorial itself is multiplied
by  values   other  than 1  and   wherein  it  is
incremented by values  other than  +1 or -1.   It
has already been practiced to factor some titanic
numbers into  such shorthand notation,  but until
now only the Lambert formula states the ranges of
its  three variables to produce  all of the prime
numbers.  The  Lambert formula also produces some
composites  but  those composites   are   vitally
important to produce further primes, and all such
composites produced  are  systematically  removed
during  further  progression   of  the  formula's
iterations leaving  a  trail  of nothing  but the
primes, and ALL of the primes.

Here's the formula:
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