Is there a method to find the largest prime factor of $2^{2024} + 2^{2023} + 2^{2022} + 2^{2021}$?
Like I know that's the same as $15 * 2^{2021}$ but where do I go from here?
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11You're probably overthinking it. The prime factorization is clearly $$ 2^{2021} \cdot 3 \cdot 5 $$ What could the prime factors even be, other than $2,3,$ or $5$? – PrincessEev Oct 07 '23 at 23:11
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1Thank you, I'm so sleep deprived. And yes I was overthinking it. – Lxwrxncx Oct 07 '23 at 23:12