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March 1

Legendre's Conjecture

ACcording to the Wikipedia page on Legendre's Conjecture, the conjecture has been verified up to n=2×10^9, but according to OEIS it has been verified up to 10^10. Is wikipedia out of date on this one? — Preceding unsigned comment added by Tarix29 (talk • contribs) 23:52, 1 March 2020 (UTC)[reply]

Possibly, but the OEISwiki entry doesn't have a source, so someone would have to dig up where they got the result from in order to update the article here. –Deacon Vorbis (carbon • videos) 00:16, 2 March 2020 (UTC)[reply]

Thomas Nicely was the authority on the limit of exhaustive prime gap searches until he died in 2019. https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html#Notes says 2^64 was reached 25 September 2018. That corresponds to n = 2^32 = 4,294,967,296. The linked OEIS wiki article has claimed 10^10 since it was created in 2013. Nicely says the prime gap limit was 4000e15 at the time, corresponding to n = 2×10^9. PrimeHunter (talk) 00:52, 2 March 2020 (UTC)[reply]