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NumberTheory

  

IthMersenne

  

Mersenne exponents

 

Calling Sequence

Parameters

Description

Examples

Compatibility

Calling Sequence

IthMersenne(i)

Parameters

i

-

positive integer

Description

• 

The IthMersenne(i) command returns the ith smallest number n such that 2n1 is known to be prime.

• 

If 2n1 is prime, then it is said to be a Mersenne prime.

• 

There are currently 50 known Mersenne primes, but the rankings of the forty-fifth to fiftieth Mersenne primes are provisional, since there might be undiscovered Mersenne primes greater than the forty-fourth but less than the fiftieth.

• 

An error will be displayed if i is greater than 50.

Examples

withNumberTheory:

IthMersenne1

2

(1)

IthMersenne35

1398269

(2)

IthMersenne49

Warning, the rankings of the 45th to 51st Mersenne primes are provisional, since it has not been determined that there do not exist more Mersenne primes between 44th and 51st

74207281

(3)

IthMersenne52

Error, (in NumberTheory:-IthMersenne) only 51 Mersenne primes are known

Compatibility

• 

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

• 

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

See Also

NumberTheory

NumberTheory[IsMersenne]