They should say it in binary
For example, in decimal, you can group the digits by pairs, and you just need 100 videos.
It takes about 3s to say 10 "one"s
There are 136,279,841 ones in the binary mersenne prime
That works out to about 41 million seconds worth of footage, or about 473 days
Given there was a gap of 6 years between the discovery of this mersenne prime and the previous, in theory 1 person could say all the digits (in binary) before we find the next mersenne prime!
Want to run your calculations again? =)
It was the largest gap so far. Several primes were quite close. The next one might be discovered much sooner. Previos two had a gap of a bit less than a year.