A229383 Near-miss counterexample to Fermat's Last Theorem for exponent 3.

252688188876561, 363025382900625, 399951361478656

Offset

1,1

Comments

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.

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

References

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

Links

Table of n, a(n) for n=1..3.

C. Goff, Animating Popular Mathematics: "The Simpsons and Their Mathematical Secrets", AMS Notices, 62 (2015), 40-44.

R. Perrin, Sur l’intégration indéterminée x^3 + y^3 = z^3, Bulletin de la S. M. F., tome 13 (1885), pp. 194-197.

Formula

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

Crossrefs

Cf. A050791, A229382.

Sequence in context: A086439 A086440 A216906 * A172596 A121111 A352532

Adjacent sequences: A229380 A229381 A229382 * A229384 A229385 A229386

Keyword

nonn,fini,full

Author

Joe Sondow and Jonathan Sondow, Sep 24 2013

Status

approved