|
| |
|
|
A105144
|
|
Decimal expansion of Pi^163.
|
|
0
|
|
|
|
1, 0, 8, 4, 9, 9, 8, 7, 7, 8, 2, 2, 7, 8, 7, 1, 9, 3, 3, 5, 8, 3, 3, 3, 8, 8, 6, 4, 4, 6, 6, 5, 0, 7, 8, 0, 5, 2, 8, 7, 7, 6, 1, 1, 4, 0, 2, 7, 5, 6, 5, 7, 3, 9, 8, 6, 8, 9, 4, 7, 7, 9, 5, 8, 3, 3, 8, 2, 9, 3, 7, 9, 7, 2, 8, 3, 8, 1, 6, 2, 9, 7, 2, 8, 1, 4, 3, 0, 8, 1, 9, 0, 6, 5, 8, 4, 6, 9, 4, 6, 8, 4, 4, 7, 8
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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).
|
|
|
LINKS
|
Table of n, a(n) for n=82..186.
Index entries for transcendental numbers
|
|
|
EXAMPLE
|
1084998778227871933583338864466507805287761140275657398689477958338293797283816297.2814308190658469468447826100...
|
|
|
MATHEMATICA
|
RealDigits[Pi^163, 10, 110][[1]]
|
|
|
PROG
|
(PARI) Pi^163 \\ Charles R Greathouse IV, Oct 01 2022
|
|
|
CROSSREFS
|
Sequence in context: A011225 A011196 A205184 * A277781 A254767 A194184
Adjacent sequences: A105141 A105142 A105143 * A105145 A105146 A105147
|
|
|
KEYWORD
|
cons,nonn
|
|
|
AUTHOR
|
Gerald McGarvey, Apr 09 2005
|
|
|
STATUS
|
approved
|
| |
|
|
