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p:^:_1

Improved

initial writing: 2005-06-23
last updated: 2006-02-28


The monad p:^:_1 n gives the number of primes less than n , denoted by π(n) in math. When n has extended-precision internal type (integer or rational), the result of p:^:_1 n is an extended-precision integer. Previously, the result of p:^:_1 n was always a machine-word integer.

For example, the sum of all primes less than one million is:

   +/ i.&.(p:^:_1) 1000000x
37550402023





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