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About LinkBacks"Is there an exponent of numberthat ends with 0001 in decimal system?" Hope you understood.
It can be written like this :
. Find x
Hint: Use Euler's theorem. If you want the actual value ofOriginally Posted by teps
"Is there an exponent of number
It can be written like this :
, you will need to compute
. See here for how to do that.
This can be done by a pigeon hole argument.
Choose 10001 different integers. Since there are 10000 remainders upon division by 10000, two of the numbers
in our set must have the property that
and
have the same remainder when divided by 10000. Say
.
Hencefor some integer
, whereas
. But 10000 and
for some integer
, like you asked for.
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