What is it about?
It's about prime numbers distribution on[n²,(n+1)²[for any n€N* For a given non zero positive Integers n we always find at least two prime numbers:combined with a third number ,thé triple forms a three -term arithmetic progression as shown on thé table
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Why is it important?
This is a conjecture about primes between two non zero consécutive squares n²and (n+1)²in three -term arithmetic progressions. it shows that within thé intervals[n²,(n+1)²[there exists at least one three -term arithmetic progression including at least two prime numbers and which mean is either n²+n-1,n²+n or n²+n+1
Perspectives
I hope that this conjecture will bé solved soon
Mr Habib Lebsir
Read the Original
This page is a summary of: Three-term arithmetic progressions, including at least two primes of the intervals [n2, (n+1)2], International Journal of Scientific and Research Publications, November 2023, International Journal of Scientific and Research Publications (IJSRP),
DOI: 10.29322/ijsrp.13.11.2023.p14311.
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