OFFSET
1,2
COMMENTS
If it exists, a(6)>5*10^27.
LINKS
Wikipedia, abc conjecture
EXAMPLE
PROG
a378164_5(upto) = {my(W=A076467_vec(upto), qw=0); for(k=2, #W, my(d=W[k]-W[k-1]); if(gcd([d, W[k], W[k-1]])==1, my(C=factor(W[k])[, 1], B=factor(W[k-1])[, 1], A=factor(d)[, 1], P=vecprod(setunion(setunion(Set(B), Set(C)), Set(A))), q=log(vecprod(C))/log(P)); if(q>qw, print([d, W[k-1], W[k], q]); qw=q)))};
a378164_5(10^16)
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Hugo Pfoertner, Nov 18 2024
STATUS
approved