Quick Help
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Let $a,b,c$ three prime numbers satisfying $5\leq a<b<c$ , $2a^2 -c^2 \geq 49$ and $2b^2 -c^2 \leq 193$ what is the biggest $c$?
Hmm..Hammer...Treat everything as nail
- Mehrab4226
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Re: Quick Help
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
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- Posts:194
- Joined:Sat Jan 02, 2021 9:28 pm
Re: Quick Help
Is there any systematic approach rather than any trial and error??
Hmm..Hammer...Treat everything as nail
- Mehrab4226
- Posts:230
- Joined:Sat Jan 11, 2020 1:38 pm
- Location:Dhaka, Bangladesh
Re: Quick Help
Actually what I did is find all the solutions. A better approach may be possible. But there aren't that many solutions so....Asif Hossain wrote: ↑Sun Mar 07, 2021 9:15 amIs there any systematic approach rather than any trial and error??
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