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Decimal expansion of exp(Pi*sqrt(67))/24.
2

%I #6 Sep 08 2022 08:45:54

%S 6,1,3,3,2,4,8,0,3,0,9,9,9,9,9,9,9,4,4,2,6,8,9,2,6,0,2,1,1,1,7,8,8,5,

%T 8,8,8,0,2,4,1,0,9,5,2,1,1,7,4,3,0,4,6,8,7,6,5,9,0,2,9,6,9,3,0,5,7,1,

%U 3,6,7,5,4,3,8,0,1,2,2,9,5,8,2,8,4,6,4,6,8,1,2,5,8,5,0,5,7,4,6,8,4,3,1,3,9

%N Decimal expansion of exp(Pi*sqrt(67))/24.

%C This real number is close to the prime number 6133248031.

%H G. C. Greubel, <a href="/A181166/b181166.txt">Table of n, a(n) for n = 10..10000</a>

%F Equals exp(Pi*sqrt(67))/24.

%e exp(Pi*sqrt(67))/24 = 6133248030.999999944268926021117885888024109521... This is almost the prime 6133248031.

%t E^(Pi Sqrt[67])/24

%t RealDigits[Exp[Pi Sqrt[67]]/24, 10, 100][[1]] (* _G. C. Greubel_, Feb 14 2018 *)

%o (PARI) exp(Pi*sqrt(67))/24 \\ _G. C. Greubel_, Feb 14 2018

%o (Magma) RealField(); Exp(Pi(R)*Sqrt(67))/24; // _G. C. Greubel_, Feb 14 2018

%K cons,nonn

%O 10,1

%A _Mark A. Thomas_, Oct 07 2010