$\pi$ $+ \ e$

Algebra Level 3

Can you calculate and find out whether the sum of $\pi$ and $e$ is algebraic or transcendental?

Yes, its Algebraic No, its Imaginary No one knows........ Yes, its Transcendental

2 solutions

Vinayak Srivastava
Jul 16, 2020

It is known that at least one of $\pi \times e$ and $\pi + e$ is transcendental, but there is no proof of either of these!

@Vinayak Srivastava - Go to my latest note, in my feed...............

A Former Brilliant Member - 11 months ago

A Former Brilliant Member
Jul 16, 2020

Annabeth was fascinated by this problem and challenged me to solve it - I, being a Seaweed Brain, checked Google and found that no one has actually found the answer yet -

Now Athena and Annabeth are wasting their time, trying to solve it, I can finally sneak out with her new Yankees cap :)

PS - I might not know what $\pi + e$ is, but at least it'll be tasty $\rightarrow$ $pi + e = PIE$

@Percy Jackson , LOL XD

Yajat Shamji - 11 months ago

@Yajat Shamji - What happened to the BRILLIAthon? Has it been cancelled, like the Mathematicians War? Why aren't you online on BRILLIANT for 2 days of the contest?

A Former Brilliant Member - 10 months, 4 weeks ago

π \pi π + e + \ e + e

2 solutions

Annabeth was fascinated by this problem and challenged me to solve it - I, being a Seaweed Brain, checked Google and found that no one has actually found the answer yet -

Now Athena and Annabeth are wasting their time, trying to solve it, I can finally sneak out with her new Yankees cap :)

PS - I might not know what π + e \pi + e π + e is, but at least it'll be tasty → \rightarrow → p i + e = P I E pi + e = PIE p i + e = P I E

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$\pi$ $+ \ e$

PS - I might not know what $\pi + e$ is, but at least it'll be tasty $\rightarrow$ $pi + e = PIE$