Interesting maths problems -- can you share some?

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SUMMARY

This discussion centers on interesting mathematical problems and theorems, specifically highlighting the Millennium Problems as a significant area of exploration. Participants are encouraged to share intriguing problems, with references to resources such as the Wikipedia list of unsolved problems in mathematics and the book "Math 1001" by Prof Elwes. The latter serves as a comprehensive survey of various mathematical topics, including unsolved questions and theorems, making it a valuable resource for aspiring mathematicians.

PREREQUISITES
  • Understanding of mathematical proofs and theorems
  • Familiarity with the Millennium Problems
  • Knowledge of mathematical literature, specifically "Math 1001" by Prof Elwes
  • Basic research skills for exploring unsolved problems in mathematics
NEXT STEPS
  • Research the Millennium Problems and their implications in modern mathematics
  • Explore the Wikipedia list of unsolved problems in mathematics for additional topics
  • Read "Math 1001" by Prof Elwes to gain insights into various mathematical concepts
  • Investigate the work of mathematicians like Ramanujan for inspiration on new ideas
USEFUL FOR

Mathematics enthusiasts, students, educators, and anyone interested in exploring unsolved problems and theorems in mathematics.

moriheru
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I would like to think about some interesting problems or interesting theorems to which one could find a proof. If you should know any I would be delighted if you could share them. Thank you very much.
 
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Another source of math problems for me has been the book:

Math 1001 by Prof Elwes

Its a survey of a large variety of math topics using a few paragraphs to describe each one. For some he'll mention that its an unsolved question or theorem.

https://www.amazon.com/dp/1554077192/?tag=pfamazon01-20

Its pretty cheap too at $20 or less paperback at $13
 

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