A287116 Nonsquare integers that cannot be represented in the form 4M-d, where (a*b)|M and d|(a+b) for some positive integers a,b.

288, 336, 4545

Offset: 1

Author

Max Alekseyev, May 19 2017

Keywords

• bref
• nonn
• hard
• more

Comments

If there are no more terms, the Erdos-Straus conjecture would follow.

This sequence together with the squares (A000290) and E(4) form a partition of the nonnegative integers. That is, this sequence gives nonsquare non-elements of E(4) (see Dubickas and Novikas, 2012).

There are no other terms below 2*10^9.

Links

• A. Dubickas, A. Novikas, On integers expressible by some special linear form, Acta Math. Univ. Comenianae LXXXI:2 (2012), 203-209.
• Wikipedia, Erdos-Straus conjecture.

Crossrefs

Cf. A073101, A075245, A075246, A075247, A075248, A292581, A192787, A292624, A192789.