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Number Theory

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18

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Find the number of bases b \ge 2 such that 144_b is prime.

jaekg Oct 15, 2024

1⁺⁰ Answers

+135

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$144_b = b^2 + 4b + 4 = (b + 2)^2$

Since a perfect square can never be prime, thre are no bases that are prime

Maxematics Oct 17, 2024

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