An infinite series of integers follows the following rule:
$a_{n+1}=2a_n +1$
Is there any $a_0$ for which every term of the series will be a prime number?
Cool modular arithmetic prob

 Posts: 192
 Joined: Sat Jan 02, 2021 9:28 pm
Re: Cool modular arithmetic prob
Is there any recipe to cook prime numbers?
Hmm..Hammer...Treat everything as nail
 Mehrab4226
 Posts: 227
 Joined: Sat Jan 11, 2020 1:38 pm
 Location: Dhaka, Bangladesh
Re: Cool modular arithmetic prob
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
Henri Poincaré
Henri Poincaré
 Mehrab4226
 Posts: 227
 Joined: Sat Jan 11, 2020 1:38 pm
 Location: Dhaka, Bangladesh
Re: Cool modular arithmetic prob
There is actually a silly hole(mistake) in the solution. You guys can find it out. Not something that will get 0.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
Henri Poincaré
Henri Poincaré