Find the rule

Yes
#60 114, 52, 347
#67 336, 76, 569

No
#64 77, 1, 826
#66 336, 74, 569
#68 3, 6, 6
#69
6) 52,114,347
7) 347,114,52
8) 52,347,114
9) 347,52,114
10) 114,347,52
#70
11) 0,0,0
12) 1,1,1
13) -100,-100,-100
14) 26,52,143
15) 27,108,2
16) 19203,-2108,32913
17) 293,-120,9

but 6' 52,116,347 is a yes

Theorem 1: A nontrivial permutation on an acceptable sequence may make it unacceptable. (Proven)

18) is what Frapator wrote. For reasons including copyright I do not copy his sequence unless he explicitly allows me to do so.
19) 0,0,1

theorem 1 : yes 569, 76, 336, don't work but 570, 76, 338 do
let me think about 18 ... oh yes it's a yes. good shot
19) no

114, 336, 76

yes !

338, 570, 338,

no
thought you had it

Sry folks... there is no rule in this... its a Hoax to pay attention to nuffn'. But if i can add a Thought.., even I didn't follow up anything here.. I go by e, Tau, Pi, Euler's constant, Catalan's constant, Liouville's number, Chaitin's "constant, Chapernowne's number, Special values of the zeta function, Hilbert's number, e exponent pi, pi exponent e, Morse-Thue's number, i exponent i, Feigenbaum numbers, Fibonacci, Golden Section, etc...

choose one!

115,9,1