Graduate How should I write an account of prime numbers?

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The discussion focuses on how to write an essay about prime numbers in arithmetic progressions, specifically questioning the use of the formula a_{n}=3+4n for generating examples. Participants clarify that an "account" likely refers to an essay, and suggest using information from Wikipedia to structure the content. There is some skepticism about the project’s value, with one participant expressing that it seems trivial. Overall, the conversation emphasizes the need for clarity in the assignment and the importance of understanding the topic of prime numbers in arithmetic progressions.
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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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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