This question already has an answer here:
I am searching for a mathematical conjecture that is true until something like
n = 117, or
n = 127, or a number close.
It is an equality, a formula implying calcultations to the power of n, IIRC.
What is the name of this conjecture ?
Why do I search for this formula ?:
I had read an article a few years ago that was discussing about experiments around the validation of a theory in Science, namely in Physics.
The example of this conjecture was given so as to convince that you can choose to repeat an experiment with different parameters a certain number of time, ultimately in the end, it does not give the entire certainty a physical theory is true: it just happens we still haven't found any outlier measurement that contracdicts the physical theory.
As a matter of fact, we can test this mathematical conjecture for the first 127 integers, which is a bunch of times, and believe it is always true, whereas it is false for all n.
I would like the name of it so as to be able to name it / source it in discussion.
Does it ring any bell for you ?