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Anything that's true is likely to be quite deep, so a more realistic (but vague) question is: Are there other examples of this kind of 'numerology'? …

Since the OP asked for other examples of this kind of numerology,I will give another one to support his observation The function $\cos(\theta_{11})$ has the following closed form $\cos(\theta_{11})=\frac …

Just a guess, but the numerology seems to work out. About the two last ones, what about zestings of $ch(Q_{16})$ and $ch(SD_{16})$? …

Question: Is there some deeper geometric connection between a triangulation of the hypercube and the permuotohedron suggested by this numerology? …

Or is the finding spurious and/or numerology? …

Dabbling in the dark art of numerology, one observes that every odd integer $2n+1\geq 5$ up to $10^7$ (where my computer got somewhat tired) can be written as $$2n+1=p+2^kq$$ with $p$ a prime, $k$ an integer …

multiple zeta values to renormalized Feynman integrals; Thistlethwaite's discovery of links with trivial Jones polynomial; The Monstrous Moonshine; McKay's account on experimentation leading to mysterious "numerology …

[edit: updated the picture to have correct numerology, and corrected (1)] …

Some criteria are not interesting if they involve digits base 10 - this is just a numerology (for example, delicate primes). …

Then Eulerian-ness is required by the numerology relating Hilbert series of a Koszul algebra to that of its quadratic dual, as in the reference [1, Lemma 2.11.1] by Beilinson, Ginzburg, and Soergel. …

$\DeclareMathOperator\PGL{PGL}\DeclareMathOperator\GL{GL}$I would like an explanation for some strange numerology which I encountered when studying intersections of subfield subgroups in $\PGL_2(q)$. … Under this assumption we have the following remarkable numerology: If $L\cong C_{q_0-1}$, then $|x(L)|=q_0^2+q_0 = |H: L|$. If $L\cong C_{q_0+1}$, then $|x(L)|=q_0^2-q_0 = |H:L|$. …

So it has a crystalline lift with Hodge-Tate weights $(s,t) = (4,1)$ [but not $(2,1)$] and the numerology is that the Serre weight associated to this lift is $\mathrm{det}^t \otimes \mathrm{Sym}^{s-t-1 …

An intense numerology session would be needed to get it closer to a proof. The problem sounds like something someone would've thought about already. …

from 2009 about the hypothetical Moore graph(s) of degree 57 and girth 5, Gordon Royle offered the following observation (reproduced here in full for the sake of preservation): Here’s some blue-sky numerology …

This question is grounded firmly in numerology. It originates in an observation about some Bernoulli polynomials and the regular icosahedron. …