A Part of Oppermann’s Conjecture, Legendre’s Conjecture and Andrica’s Conjecture

Sujata S. Patil

International Journal of Scientific Research in Science and Technology, 2025, vol. 12, issue 2, 231-233

Abstract: In this paper we discuss a part of Oppermann’s Conjecture ”there is at least two primes between n2 − n to n2 and at least another two primes between n^2 to n^2+ n for n≥3.5×〖10〗^6 ”. A part of Legendre’s Conjecture ”there is at least two primes between n^2 to 〖(n+1)〗^2 for n ≥3.5×〖10〗^6 ” and a part of Andrica’s Conjecture states that ” √(p_(n+1) )− √(p_n )

Keywords: Prime numbers; Admissible Sets; Andrica’s conjecture; Brocard’s conjecture; , Legendre’s Type equation here. conjecture (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:etm:ijsrst:v12:y2025:i2:id:648

DOI: 10.32628/IJSRST25121200

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