Mathematical Physicist, numerical modeler, inventor of ideas, paradigms, methods, and things. Last branch of the Flying Codonas and Buislay Aeronaut Families.
In 1985 I developed the theory of #SolarEclipse#ShadowBands as a simple application of my much more general PhD work. It explains all observed and reported effects of #ShadowBands and predicts details yet to be measured. Paper pdf... https://t.co/v53VaZfRJO
@fermatslibrary Change Int128 to BigInt and run much farther.
To 1000...
6: (5, 3)
10: (7, 6)
24: (23, 4)
120: (119, 5)
720: (719, 6)
10 is still the only one that doesn't follow the pattern of
(n!)! = (n!-1)n!
@fermatslibrary In Julia:
F = [factorial(n)*factorial(m) for n=Int128.(1:20), m=Int128.(1:20)];
for n=Int128.(1:20)
LIST = Tuple.(findall(F .- factorial(n) .== 0))
if length(LIST)>2
println(n,": ",LIST[2])
end
end
6: (5, 3)
10: (7, 6)
So 6!==3!5! and 10!==6!7!