IJSRP, Volume 13, Issue 11, November 2023 Edition [ISSN 2250-3153]
Habib Lebsir
Abstract:
For all non zero natural integer n, the interval [n2, (n+1)2 [of N*, contains at least one three – term arithmetic progression, including at least two primes and which arithmetic mean is either n2 + n – 1, n2 + n, or n2 + n + 1.