Relationships of the number kind

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SUMMARY

The discussion centers on exploring number relationships, particularly focusing on prime numbers and their properties. Participants recommend studying how to count primes, determine primality, and factor composite numbers. The conversation highlights the potential for discovering new patterns in prime numbers, which can lead to significant mathematical achievements, such as the Fields Medal. Resources like Wikipedia are suggested for foundational knowledge.

PREREQUISITES
  • Basic understanding of college algebra and trigonometry
  • Familiarity with prime numbers and composite numbers
  • Knowledge of mathematical problem-solving techniques
  • Interest in mathematical patterns and properties
NEXT STEPS
  • Study the properties of prime numbers and their distribution
  • Learn about algorithms for primality testing
  • Explore the concept of prime factorization in depth
  • Research mathematical conjectures related to prime numbers
USEFUL FOR

Students in mathematics, particularly those studying algebra and trigonometry, as well as anyone interested in number theory and mathematical problem-solving.

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I'm wondering if someone could recommend some number relationships that I could look into.

I don't have loads of math under my belt quite yet. I'm currently in college trigonometry and college algebra. I start my calculus classes next semester and my physics classes the following semester.

I think that stuff is interesting.
I don't really know which relationships to look at, though. Could someone please point me in the right direction? I really just want to discover some of the properties of numbers for myself by working through some simple problems. I just don't know how to get started.

Thanks in advance.
 
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You can read about primes. It is a fascinating topic. How to count them, how to determine if a number is a prime, how to factor composite numbers. You can try to find new patterns of primes ( that will keep you busy for the next 50 years) and if you can predict the next prime, you will get the Fields Medal ( the Nobel for math ). Wikipedia is a good start on the subject.
 
Thank you, epsi00. That DOES sound interesting.
That's exactly the thing I had in mind.
Thank you for the response.
 

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