Graduate How should I write an account of prime numbers?

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SUMMARY

The discussion centers on writing an essay about prime numbers in arithmetic progressions, specifically using the formula a_{n}=3+4n for the range 0 ≤ n ≤ 2. Participants clarify that an "account" refers to an essay, and emphasize the need to explore the definition of prime numbers in arithmetic progressions, which are sequences of at least three consecutive prime numbers. The consensus suggests that the task involves summarizing existing knowledge, particularly from Wikipedia, rather than original research.

PREREQUISITES
  • Understanding of prime numbers and their properties
  • Familiarity with arithmetic progressions
  • Basic essay writing skills
  • Ability to paraphrase and summarize academic content
NEXT STEPS
  • Research the properties of prime numbers in arithmetic progressions
  • Study the formula a_{n}=3+4n and its implications
  • Review techniques for effective essay writing
  • Explore the Wikipedia article on prime numbers in arithmetic progressions for detailed insights
USEFUL FOR

Students, educators, and writers interested in mathematics, particularly those tasked with composing essays on number theory and prime numbers.

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How should I write an account of prime numbers in arithmetic progressions? Assuming this account should be in the form of an essay of at least ## 500 ## words. Should I apply the formula ## a_{n}=3+4n ## for ## 0\leq n\leq 2 ##? Can anyone please provide any idea(s)?
 
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The first sentence of Wiki you quoted says:In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression. Doesn't it work for your purpose ?
 
Can you provide more details. What is an account? Normally we think bank account or something similar.

Do you mean an essay?
 
anuttarasammyak said:
The first sentence of Wiki you quoted says:In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression. Doesn't it work for your purpose ?
I am not completely sure of whether or not this will work for my purpose.
 
jedishrfu said:
Can you provide more details. What is an account? Normally we think bank account or something similar.

Do you mean an essay?
I wish there are more details in this question, but no. The question states: "Write an account of prime numbers in arithmetic progressions. Your account should be in the form of an essay of 500-1000 words."
 
Read the Wikipedia article, then regurgitate the information in different words. This sounds like a silly project.
 

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