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1000th digit (Posted on 2005-04-26) Difficulty: 3 of 5
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

See The Solution Submitted by Pemmadu Raghu Ramaiah    
Rating: 3.3750 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Here Jonathan! | Comment 19 of 30 |
(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.


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 2005-04-27 20:23:45
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