Puzzle 1185 4940867.

G. L. Honaker, Jr. sent a puzzle about his Curio 4940867, which is related to the sequence A247148:

A247148
Primes p that divide LS(p), where LS is the "Look and Say" function (A045918)
2, 5, 108947, 4940867

LS(2)=12=2*2*3
LS(5)=15=3*5
LS(108947)=111018191417=7*149*977*108947
LS(4940867)=141914101816117=3*3*337*947*4940867

The fourth term of the above sequence was found by Alois P. Heinz in 2014... Perhaps it is time enough to find the fifth term of this sequence.

Q. Find the 5th term of A247148 or show an argument about its impossibility.