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Pi*e

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It is not known whether pi*e, pi/e, 2^e, pi^e, pi^sqrt(2), log pi, Catalan's constant, or the Euler–Mascheroni constant are irrational.[1][2][3]

Decimal expansion of pi*e

The decimal expansion of pi*e is

A019609 Decimal expansion of Pi*e.

{8, 5, 3, 9, 7, 3, 4, 2, 2, 2, 6, 7, 3, 5, 6, 7, 0, 6, 5, 4, 6, 3, 5, 5, 0, 8, 6, 9, 5, 4, 6, 5, 7, 4, 4, 9, 5, 0, 3, 4, 8, 8, 8, 5, 3, 5, 7, 6, 5, 1, 1, 4, 9, 6, 1, 8, 7, 9, 6, 0, 1, 1, 3, 0, 1, 7, 9, 2, 2, 8, 6, 1, 1, 1, 5, 7, 3, 3, ...}

Continued fraction expansion of pi*e

The simple continued fraction expansion of pi*e is

A159822 Continued fraction for Pi*e A019609.

{8, 1, 1, 5, 1, 3, 1, 4, 12, 3, 2, 1, 5, 2, 12, 1, 1, 1, 10, 2, 2, 2, 3, 8, 3, 2, 2, 2, 29, 1, 1, 13, 1, 1, 8, 11, 16, 3, 1, 4, 163, 2, 1, 1, 1, 5, 1, 6, 1, 17, 5, 1, 3, 6, 3, 1, 4, 1, 1, 1, 5, 1, 7, 15, 4, 1, 1, 1, 9, 1, 1, 4, ...}

See also

Notes

  1. Weisstein, Eric W., Pi, from MathWorld—A Wolfram Web Resource.
  2. Weisstein, Eric W., Irrational Number, from MathWorld—A Wolfram Web Resource.
  3. Some unsolved problems in number theory