10 trillions is not much in the realm of "conjectures that have only large counterexamples". The proposition 𝑛^17+9 and (𝑛+1)^17+9 are relatively prime is n

10 trillions is not much in the realm of "conjectures that have only large counterexamples". The proposition 𝑛^17+9 and (𝑛+1)^17+9 are relatively prime is not true for all n, the first counterexample being n=8424432925592889329288197322308900672459420460792433 Source: https://math.stackexchange.com/a/365881 https://math.stackexchange.com/a/365881 which has other nice examples