We present Ramanujan's proof of Bertrand's postulate and in the process, eliminate his use of Stirling's formula. The revised proof is elegant and elementary so as to be accessible to a wider audience.doi:10.4169/amer.math.monthly.120.07.650...
Euclid’s Fifth PostulateEuclid on NumbersEuclid on PrimesEuclid’s Proof of the Primes’ InfinitudeEuler’s Infinite Prime ProductEuler’s Infinite Prime Product EquationEuler’s Product FormulaThe main design of this paper is to determine once and for all the truenature and status of the ...
That is why it is also called Bertrand-Chebyshev theorem. Though it does not give very strong idea about the prime distribution like Prime Number Theorem (PNT) does, the beauty of Bertrand's postulate lies on its simple yet elegant definition. Historically, Bertrand's postulate is also ve...
We present Ramanujan's proof of Bertrand's postulate and in the process, eliminate his use of Stirling's formula. The revised proof is elegant and elementary so as to be accessible to a wider audience.doi:10.4169/amer.math.monthly.120.07.650...
Mathematics - Number TheoryBijoy Rahman Arif
Meher, Jaban; Murty, M. Ram. Ramanujan's Proof of Bertrand's Postulate. The American Mathematical Monthly, Vol 120. (2013)J. Meher and M. Ram Murty. Ramanujan's proof of Bertrand's postulate. Amer. Math. Monthly, 120(7) (2013) 650-653....
We present Ramanujan's proof of Bertrand's postulate and in the process, eliminate his use of Stirling's formula. The revised proof is elegant and elementary so as to be accessible to a wider audience.Meher, J.Ram Murty, M.The American mathematical monthly...
We add a few ideas to Erd\\H{o}s's proof of Bertrand's Postulate to produce\none using a little calculus but requiring direct check only for $n\\leq 5$ and\none without using calculus and requiring direct check only for $n\\leq 12$. The\nproofs can be presented to high school ...
Bertrand's Postulate is the statement that there is a prime between $n$ and$2n$ for $n>1.$ It was proved first by Chebyshev in 1850 and a simpleelementary proof not requiring even calculus was given by Erd\\H{o}s in 1932. Wemake some changes to obtain a proof that, in addition,...
Anass Massoudi