What Is a Good Introduction to Primes in Number Theory?

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SUMMARY

This discussion focuses on finding accessible introductions to number theory, specifically regarding prime numbers and their proofs, including Euler's proof of infinite primes and Goldbach's conjecture. The user has a background in calculus (Calculus 1-3) and seeks resources that clarify the derivations of these proofs. Recommendations include searching for introductory number theory PDFs, which typically require only basic mathematical knowledge.

PREREQUISITES
  • Basic understanding of calculus (Calculus 1-3)
  • Familiarity with mathematical proofs
  • Knowledge of prime numbers and their properties
  • Basic mathematical terminology and notation
NEXT STEPS
  • Research Euler's proof of infinite primes
  • Study Goldbach's conjecture and its implications
  • Explore introductory number theory textbooks or PDFs
  • Learn about mathematical derivations related to prime numbers
USEFUL FOR

Students and enthusiasts of mathematics, particularly those interested in number theory, prime numbers, and mathematical proofs.

moriheru
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Greetings,
I am looking for a accesable introduction to the field of number theory that leads up to primes eulers proof of infinite primes, goldbach proof of inifinite primes and their deriviations(the deriviations are the most important and should be clear if possible) and so on. I have a knowledge of caculus1-3(integrals,differentials,sums and convergency tests...), so if I am lacking essential knowledge please mention this.

Thanks for any clarifications.
 
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moriheru said:
Greetings,
I am looking for a accesable introduction to the field of number theory that leads up to primes eulers proof of infinite primes, goldbach proof of inifinite primes and their deriviations(the deriviations are the most important and should be clear if possible) and so on. I have a knowledge of caculus1-3(integrals,differentials,sums and convergency tests...), so if I am lacking essential knowledge please mention this.

Thanks for any clarifications.
If you google "number theory pdf" you'll find more texts introducing you to number theory than you could imagine. I can't vouch for any of them, but they will generally assume only a basic mathematical knowledge and will be very much from the ground up.
 
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PeroK said:
If you google "number theory pdf" you'll find more texts introducing you to number theory than you could imagine. I can't vouch for any of them, but they will generally assume only a basic mathematical knowledge and will be very much from the ground up.

Thanks PeroK the saylor PDF was helpfull.

I think I should specify. A introduction on primes in numbertheory would be more acurate. Thanks for any helpfull suggestions.
 

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