| Subject: | Euler's gamma is incorrect |
Euler's constant (also called Euler–Mascheroni, or Euler's Gamma, etc.) is incorrect in the 59th and further decimal place (so 1941 of 2000 digits are incorrect).
Math::NumberCruncher:
$ time perl -MMath::NumberCruncher -E 'say Math::NumberCruncher::CONSTANT("_gamma_",70)'
0.5772156649015328606065120900824024310421593359399235988057938097451382
Math::Prime::Util::GMP:
$ perl -MMath::Prime::Util::GMP=Euler -E 'say Euler(70)'
0.5772156649015328606065120900824024310421593359399235988057672348848677
Mathematica (Wolfram Alpha):
http://www.wolframalpha.com/input/?i=N%5BEulerGamma,70%5D
0.5772156649015328606065120900824024310421593359399235988057672348848677
Pari/GP:
$gp -q
? \p 70
realprecision = 77 significant digits (70 digits displayed)
? Euler
0.5772156649015328606065120900824024310421593359399235988057672348848677