On a Waring-Goldbach problem involving squares, cubes and biquadrates

摘要

Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that for every sufficiently large even integer N, the equation N=x2+p21+p32+p33+p44+p45 is solvable with x being an almost-prime P4 and the other variables primes. This result constitutes an improvement upon that of L"{u} cite{7}.