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Cool modular arithmetic prob
Posted: Wed Jun 02, 2021 8:35 am
by Almx26
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?
Re: Cool modular arithmetic prob
Posted: Fri Jun 11, 2021 11:09 am
by Asif Hossain
Almx26 wrote: ↑Wed Jun 02, 2021 8:35 am
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?
Is there any recipe to cook prime numbers?
Re: Cool modular arithmetic prob
Posted: Sun Jun 13, 2021 6:59 am
by Mehrab4226
Almx26 wrote: ↑Wed Jun 02, 2021 8:35 am
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?
Re: Cool modular arithmetic prob
Posted: Sun Jun 13, 2021 8:29 pm
by Mehrab4226
Mehrab4226 wrote: ↑Sun Jun 13, 2021 6:59 am
Almx26 wrote: ↑Wed Jun 02, 2021 8:35 am
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?
There is actually a silly hole(mistake) in the solution. You guys can find it out. Not something that will get 0.