The reciprocal sum of three different prime numbers is 1001 out of N. what is n equal to

The reciprocal sum of three different prime numbers is 1001 out of N. what is n equal to

Let the three prime numbers be
X Y Z
Then 1 / x + 1 / y + 1 / z = (XY + XZ + YZ) / XYZ = n / 1001
That is XYZ = 1001
Because 1001 must be written in the form of multiplication of three prime numbers
From 2357, it is estimated that 1001 can be divided into 143 by 7 and 13 by 11
therefore
1001=7*143=7*11*13
n=7*11+11*13+7*13=311
You are wrong about the title!
It should be the reciprocal sum of three different prime numbers, which is n / 1001
Or you can't do it!