How should I write an account of prime numbers?

[Math100]

TL;DR

https://en.wikipedia.org/wiki/Primes_in_arithmetic_progression#:~:text=In%20number%20theory%2C%20primes%20in%20arithmetic%20progression%20are,arbitrarily%20long%20sequences%20of%20primes%20in%20arithmetic%20progression.

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)?

 

[anuttarasammyak]

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 ?

 

[jedishrfu]

Can you provide more details. What is an account? Normally we think bank account or something similar.

Do you mean an essay?

 

[Math100]

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.

 

[Math100]

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."

 

[Office_Shredder]

Read the Wikipedia article, then regurgitate the information in different words. This sounds like a silly project.