Apéry's constant: Difference between revisions

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Small clarifications, grammar
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This constant was known and studied by many early mathematicians, but was not named until 1978, after Roger Apéry, who was first to prove it was an irrational number.
 
 
<math>\zeta(3)</math> by summing reciprocal cubes is easy to calculate, but it converges very slowly. The first 1000 terms are only accurate to 6 decimal places.
 
 
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;* Show the value of Apéry's constant calculated at least three different ways.
;:# Show the value of at least the first 1000 terms of <math>\zeta(3)</math> by direct calculationsumming of reciprocal cubes, truncated to 100 decimal digits.
;:# Show the value of the first 158 terms of Markov / Apéry representation truncated to 100 decimal digits.
;:# Show the value of the first 20 terms of Wedeniwski representation truncated to 100 decimal digits.
10,333

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