Question 1209831
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It looks like @CPhill created/invented a new way presenting solutions 

to Math problems: - - - making it in an UNREADABLE format.



To all other visitors and readers of his posts, I recommend ignore them 
and read directly from the Google AI source.


Concretely for this given problem, you may read the solution in traditional format from this link


https://www.google.com/search?q=Let+S+be+the+set+%7B1%2C+2%2C+3%2C+...+%2C+10%2C+11%2C+12%7D.+How+many+subsets+of+the+set+S+have+no+two+consecutive+primes+as+members%3F&rlz=1C1CHBF_enUS1071US1071&oq=Let+S+be+the+set+%7B1%2C+2%2C+3%2C+...+%2C+10%2C+11%2C+12%7D.++How+many+subsets+of+the+set+S+have+no+two+consecutive+primes+as+members%3F&gs_lcrp=EgZjaHJvbWUyBggAEEUYOdIBCjE5MjYyajBqMTWoAgiwAgHxBXPVsR37pL67&sourceid=chrome&ie=UTF-8