Can we get the patent on set of equation discoveries between the properties of a set of numbers that can be applied for any two numbers of that set..
for e.g. multi relational equations between two odd numbers,consecutive numbers,etc..
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What you are describing is pure mathematics without any particular implementation. Every state (as far as I know) disallows patents for pure mathematics.
For example, such an invention:
Maca's answer is excellent and all I have to add is that "laws of nature" are specifically excluded.
Here are some links:
But the above links are older, and refer to previous cases. I suspect you'll want to look at CRISPR, for more recent developments:
It's possible if you narrow your claims to a concrete application of the algorithm, there may be some wiggle room, but you'll need to consult with an experience patent attorney.
As Maca notes, what you describe is ineligible because "it is pure mathematics without any particular implementation."
Certainly don't disclose until you've determined there is no strategy that may produce a viable patent application. (This always carries the caveat that, in this particular area, the only certainty is uncertainty. Patenting can be an expensive process, and there are no guarantees of a grant. Eligibility, particularly in regard to algorithms, has narrowed significantly "post-Alice".)
Also might be worth checking out Gene Quinn's A Software Patent History: The Algorithm Cases.