login
Near-miss counterexample to Fermat's Last Theorem for exponent 3.
3

%I #18 Jan 01 2021 11:20:10

%S 252688188876561,363025382900625,399951361478656

%N Near-miss counterexample to Fermat's Last Theorem for exponent 3.

%C In the Fermat "equation" 252688188876561^3 + 363025382900625^3 = 399951361478656^3 the left side is 0.000000002% larger than the right side. However, the ones digit on both sides is the same, namely, 6.

%C 4th powers of A229382, David S. Cohen's near-miss counterexample to Fermat's Last Theorem for exponent 12.

%D S. Singh, The Simpsons and Their Mathematical Secrets, Bloomsbury USA, 2013.

%H C. Goff, <a href="http://www.ams.org/notices/201501/rnoti-p40.pdf">Animating Popular Mathematics: "The Simpsons and Their Mathematical Secrets"</a>, AMS Notices, 62 (2015), 40-44.

%H R. Perrin, <a href="https://doi.org/10.24033/bsmf.302">Sur l’intégration indéterminée x^3 + y^3 = z^3</a>, Bulletin de la S. M. F., tome 13 (1885), pp. 194-197.

%F a(n) = A229382(n)^4.

%Y Cf. A050791, A229382.

%K nonn,fini,full

%O 1,1

%A Joe Sondow and _Jonathan Sondow_, Sep 24 2013