Thread: number theory problem...

Please help in finding the factor of ...618240007109027021 by the p-1 method...

thanks a lot!

Originally Posted by Vedicmaths

Please help in finding the factor of ...618240007109027021 by the p-1 method...
thanks a lot!

n = 618240007109027021

Select a bound for the factorial.
bound = is an acceptable limit.

In this case about 43 .
The exponent will be 43! (factorial of 43)

Choose some number to raise to that exponential value. Any number (a) from 2 to n-1 is useable.
You may want to check that .
2 is ok.






If

then you have a factor of n
If not then raise the bound limit.

In this case one of the factors is a 9 digit number.
The first 3 digits and the last 3 digits are
250___201

.