Current Events > Here's a weird prime number calculus problem.

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FLOUR 04/27/23 6:10:47 PM #1:	Suppose p and q are prime numbers such that p < q . Prove that there is a unique solution pair satisfying p^q < q^p . And yes, calculus is involved or at least helps dramatically. --- Hello. Do you know us? We're a major league baseball team. Rooted in Oakland. Transplanted in Las Vegas. <cite>FLOUR posted [p:973116585] in Here's a w... [t:80425968]...</cite> <quote>Suppose p and q are prime numbers such that p < q . Prove that there is a unique solution pair satisfying p^q < q^p . And yes, calculus is involved or at least helps dramatically.</quote> ... Copied to Clipboard!
Tyranthraxus 04/27/23 6:13:44 PM #2:	p = 2 < q = 3 2^3 = 8 < 3^2 = 9 Why do I need calculus for this? --- It says right here in Matthew 16:4 "Jesus doth not need a giant Mecha." https://i.imgur.com/dQgC4kv.jpg <cite>Tyranthraxus posted [p:973116636] in Here's a w... [t:80425968]...</cite> <quote>p = 2 < q = 3 2^3 = 8 < 3^2 = 9 Why do I need calculus for this?</quote> ... Copied to Clipboard!
KainWind 04/27/23 6:14:52 PM #3:	I can't think of an example where that isn't true --- Momentai <cite>KainWind posted [p:973116668] in Here's a w... [t:80425968]...</cite> <quote>I can't think of an example where that isn't true</quote> ... Copied to Clipboard!
VampireCoyote 04/27/23 6:16:40 PM #4:	those are actually letters --- She/her <cite>VampireCoyote posted [p:973116697] in Here's a w... [t:80425968]...</cite> <quote>those are actually letters </quote> ... Copied to Clipboard!
lderivedx 04/27/23 6:40:14 PM #5:	It's because ln(x)-1 is negative when x < e. --- i cant get off unless we're violating at least four OSHA regulations <cite>lderivedx posted [p:973117110] in Here's a w... [t:80425968]...</cite> <quote>It's because ln(x)-1 is negative when x < e.</quote> ... Copied to Clipboard!
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