NumberTheory - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Numbers : Prime : NumberTheory/PrimeCounting

NumberTheory

  

PrimeCounting

  

number of prime numbers less than a number

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

PrimeCounting(x)

pi(x)

Parameters

x

-

positive real number

Description

• 

The PrimeCounting(x) command computes the number of prime numbers less than or equal to x.

• 

pi is an alias of PrimeCounting.

Examples

withNumberTheory:

PrimeCounting1

0

(1)

piPi

2

(2)

PrimeCounting10000

1229

(3)

numelemsselectisprime,seq1..10000

1229

(4)

The prime counting function is approximated by Lix and xlnx.

plotPrimeCountingx,Lix,xlnx,x=1..500,legend=pix,Lix,xlnx

Compatibility

• 

The NumberTheory[PrimeCounting] command was introduced in Maple 2016.

• 

For more information on Maple 2016 changes, see Updates in Maple 2016.

See Also

ithprime

NumberTheory