Prime numbers represent one of the major open problems in number theory mostly in that at present it is not possible to state that the induction principle holds for them. The methodology of experimental mathematics has been little endeavored in this field thus the present report...
Open access
Research Article10.9734/jamcs/2023/v38i81794
An innovative approach that treats prime numbers as raw experimental data making use of experimental/computational mathematics and the approximation methods is presented in order to get advanced and more exact formulations of the canonical form = being the prime value and it...
Open access
Research Article10.9734/jamcs/2020/v35i930321
An innovative approach that treats prime numbers as raw experimental data and as elements of larger and larger finite sequences {Pm}≡{P(mp)} is shown in the present report. The modified chi-square function Xk2(A,mp/xo) with its three parameters A, k and xo=xo(k) is the best-fit f...
Open access
Research Article10.9734/BJMCS/2017/31589
Riemann’s hypothesis has always been a challenge in number theory, thus the present article shows a general (i.e. valid for any non-trivial zero) and elementary (i.e. not using the theory of complex functions) proof of it, in which the constant +1/2 arises by itself and automatic...
Open access
Research Article10.9734/BJMCS/2016/25419