The famous singularity of number 7; conjectured by Ramanujan from a Diofanthine equation. In which the answer is given in the subtraction of 2n for every number A greater than zero, at most two solutions were obtained except for number 7, in which case 5 solutions were obtained. What was analysed by many 20th century mathematicians such as Lebesgue, Nagell, Chowla, Lewis, Skolem, Apéry, among others. That, through their demonstrations, they supported this conjecture as true. It is currently known as the Lebesgue-Ramanujan-Nagell Equation. And to this day, contemporary mathematicians continue to study it. In this article, the equation was analysed and developed in such a way that several counterexamples were reproduced, which was good for its refutation. However, this was the starting point, which extended the conjecture from the unique case of the number 7 to several numbers in which 5 solutions were obtained such as the number 28 and which should also be defined as singular. Through what will be known as the Ramanujan-Alhena Singular Number Theorem

From the erroneous conjecture proposed by Ramanujan in the equation “2n-A = x2”; “The Ramanujan-Alhena Singular Numbers Theorem” is proposed so that the substraction of every number 2n with A and whose result is a perfect square, there will always be one or two integer answers, only for the case of A = 7; the possibility of infinite singular numbers is presented.