Reverse-engineering a function that maps 8-digit to 10-digit numbers

[bobthebanana]

This isn't a homework question. You guys are smart so I was wondering if you could somehow figure out the mysterious function f based on a few examples:

f(26134914) = 2085386485
f(26288902) = 2085920342
f(26289423) = 2094236422
f(26356300) = 2086136115

What is "f" doing to convert that 8 digit number to a 10 digit? I'll produce more examples if needed

Thanks for the help

 

[HallsofIvy]

Do you understand that there exist an infinite number of functions that will give those specific numbers? And no matter how many more example you give, there always exist a infinite number of functions that will give any finite set of specific values.

 

[Gib Z]

If you give us k examples, we can construct a polynomial of k+1 degree (or higher), whose coefficients will be determined by a set of k+1 simultaneous linear equations which we could solve using Gaussian Elimination. Want to try it, because i don't :P