The present paper proved that if λ1, λ2, λ3 are positive real numbers, λ1/λ2 is irrational. Then, the integer parts of λ1x12+ λ2x22+ λ3x34 are prime infinitely often for natural numbers x1, x2, x3.
文摘The present paper proved that if λ1, λ2, λ3 are positive real numbers, λ1/λ2 is irrational. Then, the integer parts of λ1x12+ λ2x22+ λ3x34 are prime infinitely often for natural numbers x1, x2, x3.