The Euler number, not to confuse with the Euler constant 0.5772156649… , is the irrational number e. It is approximately equal to 2.7182818284…, and it is exactly equal to

Remarkably in around 2004, Richard Sabey gave an extremely accurate approximation to the Euler number,

which uses the digits 1 to 9 exactly once and it is accurate to around digits.

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