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Is Euler Gamma is Rational ?

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The Euler-Mascheroni constant gamma, SOMETIMES also called 'Euler's constant' or 'the Euler constant' (but not to be confused with the constant e=2.718281...) is defined as the limit of the sequence

\small{ \gamma = \lim_{(n \mapsto \infty)}( \sum_{(k=1)}^{(n)} \frac1k- \ln \: n) . \dots..}

Decimals REPRESENTED as :-)

  • 0.5772156649015328606065120900824024310421593359399235988057672348...

Continued Fraction ):-

  • [0; 1, 1, 2, 1, 2, 1, 4, 3, 13, 5, 1, 1, 8, 1, 2, 4, 1, 1, 40, 1, 11, 3, 7, 1, 7, 1, 1, 5, 1, 49, 4, ...]

\small{ \gamma =  \sum_{(k=2)}^∞{ (ζ(k) (-1)^k)/k}}

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︎︎⚠︎ NO SPAM ⚠︎︎︎︎

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