

A287116


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


0




OFFSET

1,1


COMMENTS

If there are no more terms, the ErdosStraus 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 nonelements of E(4) (see Dubickas and Novikas, 2012).
There are no other terms below 2*10^9.


LINKS

Table of n, a(n) for n=1..3.
A. Dubickas, A. Novikas, On integers expressible by some special linear form, Acta Math. Univ. Comenianae LXXXI:2 (2012), 203209.
Wikipedia, ErdosStraus conjecture.


CROSSREFS

Cf. A073101, A075245, A075246, A075247, A075248, A292581, A192787, A292624, A192789.
Sequence in context: A244512 A214301 A296902 * A345553 A345807 A244196
Adjacent sequences: A287113 A287114 A287115 * A287117 A287118 A287119


KEYWORD

bref,nonn,hard,more


AUTHOR

Max Alekseyev, May 19 2017


STATUS

approved



