If you want a more recent example. How about 1966 with the counter example of Euler’s Conjecture on Sums of Like Powers.
A direct search on the CDC 6600 yielded
27^5 + 84^5 + 110^5 + 133^5 = 144^5
as the smallest instance in which four fifth powers sum to a fifth
power. This is a counterexample to a conjecture by Euler [1] that at
least n nth powers are required to sum to an nth power, 1 > 2.
And that’s the paper. They could have gone into great detail about the program used etc, but it clearly communicates what was done and the results so why bother.