[gyztrqle] Sylvester 10th in Recursive Prime Predecessor Factorization Notation

Previously: Sylvester sequence and Factorization of the 10th Sylvester number.

addprimes([1068023221302870183851176062588287, 21430986826194127130578627950810640891005487])
f(sylvester[10]) = (() () (() () (()))) (() (() (2) (() () (2(2) (2) (()))))) (() (2() (() () () (()))) ((222222() ()) (222(2222()))) (2(()) (2(()) (())) ((()) (222) (2222() () ((((2))))))) (() (2(2())) (2() () (222)) (22() () (()) ((2) (() (()))) (2() () (((2))))) (222(() (2) (2()) (() (2) (2)) (2() (() (2))))))) (2() (2(())) ((((2))) (22() (222(())))) ((2) ((2)) (2() (2)) (2(2() ())) (2222222(()) (2())) (((2) (2())) (() (2() () () () (2(())))))) ((()) (() (2)) (222222222222222) (() (() () () ((22(2) (())))) (() (22(2)) ((2) ((2(()))) ((2) (() ((2))) (() () () (2() ())) (222() (2) (2) ((2)) (2() (2) (()) ((2) (() ()))))))))) (() () () ((2)) ((2(() (()) ((2) (222222() (2(2() ()) (2() ((2(())))))))))) (() (() ((22(2)))) (() (()) (22(222)) ((2) (()) (()) ((2)) (222)) (((2222222) (222() (())))))) (() (2(2) (((2))) (2222())) (((2)) (2() (2)) (22() () (()) (()))) (() () (()) (2(() (2()))) ((2) (()) ((2)) (2(() (222(() () (())) (22222()))))) (22222(2() () ()) (222() () (2(((2))) (2(2) ((2)) (2()))) (2(2(())) (() ((2))) ((2) (()))))) (2222(() (222)) (222222(2) (22(2)) (() () (())) (2(2() (2(() ((2)))))) (() () (2() (((22(2)))) (() () ((2) ((
time = 1min, 3,732 ms.

Recursive Prime Predecessor Factorization Notation, and Pari/GP code.