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Glossary:
Prime Pages:
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits) We define p# (p-primorial) to be the product of the primes less than or equal to p. For example:
It is customary to only apply the notation p# to primes p, but some authors will apply it to any positive real number (e.g., 10.72# = 2.3.5.7 = 210). When viewed this way, the function log(x#) is Tschebycheff's function, and the prime number theorem is equivalent to the expression log x# ~ x,(i.e., (log x#)/x approaches 1 as x approaches infinity.)
See Also: Factorial, FactorialPrime, MultifactorialPrime Related pages (outside of this work) Chris K. Caldwell © 1999-2019 (all rights reserved)
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