What is the 1000th digit to the right of the decimal point in the decimal representation of (1+√2)^3000?
This problem can be solved by algebra alone, without the need for computers or calculators
(In reply to
re: Here Jonathan! by Hugo)
MIRACL calc seems a little quirky. The following works the way expected:
1+3= gives 4
and then
*5= gives 20,
taking the previous answer as the first argument to the multiplication.
But
1+2sqr= gives the evaluation of 1+sqrt(2)
but then
^3000= gives some weird short answer, even when the digits are set to say 7000.
In order to get this to work correctly, I had to
1+2sqr=Min, to put it into memory
and then
MR^3000= gives the answer Jer found.

Posted by Charlie
on 20050427 20:23:45 