# A Numerical Bound for Baker's Constant -some Explicit Estimates for Small Prime Solutions of Linear Equations

@inproceedings{KwokKwongANB, title={A Numerical Bound for Baker's Constant -some Explicit Estimates for Small Prime Solutions of Linear Equations}, author={Stephen Kwok-Kwong and W Choi and R In and Michael S. C. Liu and Kai Ming Tsang} }

proved that there is an absolute constant V > 0 such that the linear equation a 1 p 1 + a 2 p 2 + a 3 p 3 = b has prime solutions p j 's if b (max j a j) V and a j > 0. Apart from the numerical value of V , the bound is sharp. In this manuscript, we obtain a numerical bound for V. We also obtain a numerical bound for the small prime solutions of the above equation if the a j 's are not all of the same sign.