OFFSET
82,3
COMMENTS
Let M = round(Pi^163) then M = d_1 * d_2 = 529774009007567162534610269 * 2048040786788341811748262618745700181736326274373241213. M = a^2 + b^2 = 32668814662851590790630599022445863401819 * 4212757618487543121739337171097252478756. s(M), the sum of proper divisors of M, equals 2048040786788341811748262619275474190743893436907851482. phi(s(M)) = 620618102278114214685524246515921764248373667313633800. s(M)/phi(s(M)) = 3.300001690686367432257271232... (phi(m) is the totient function).
EXAMPLE
1084998778227871933583338864466507805287761140275657398689477958338293797283816297.2814308190658469468447826100...
MATHEMATICA
RealDigits[Pi^163, 10, 110][[1]]
PROG
(PARI) Pi^163 \\ Charles R Greathouse IV, Oct 01 2022
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Gerald McGarvey, Apr 09 2005
STATUS
approved