Evaluation of ζ(2) by the definition (sort of) [HP42S & HP71B]

11042021, 10:42 PM
Post: #22




RE: Evaluation of ζ(2) by the definition (sort of) [HP42S & HP71B]
If we add a 1 CF correction term to initial b, result is even better.
LET b = SQR(5) LET b = (4*(b2)*x2+0.8*x+0.12*b  3.2/(50*x+23*b))/(10c) n = 100 Accurate digits = 223.10474793591716 n = 101 Accurate digits = 225.21595297592808 n = 102 Accurate digits = 227.3269505519926 n = 400 Accurate digits = 853.05677365480504 n = 401 Accurate digits = 855.15205424416744 n = 402 Accurate digits = 857.24732141737914 For n=471, it reached 1000 digits full precision. 

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