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A Problem in Number Theory

Posted: Sun Jan 03, 2016 1:38 am
by Kazi_Zareer
দেখাও যে, যেকোনো মৌলিক সংখ্যা $p$ এর জন্য এমন অসীম সংখ্যক পূর্ণসংখ্যা $a$ আছে অথবা একটিও নেই যেন $6p| a^{p}+1$

"Impossible only means that you haven't found the solution yet."

Re: A Problem in Number Theory

Posted: Sun Jan 03, 2016 11:21 am
by Phlembac Adib Hasan
For odd $p$, consider $a=6pk-1$ for $k\in\mathbb N$
For even $p$, note that $4\not | a^2+1$, where $a\in \mathbb Z$

Re: A Problem in Number Theory

Posted: Thu Jan 28, 2016 12:00 pm
by Naheed
I don't get you Adib.