if-the-sum-of-three-prime-numbers-is-130-what-is-the-possible-maximum-of-their-product-

Question Number 214638 by mr W last updated on 14/Dec/24

i f t h e s u m o f t h r e e p r i m e n u m b e r s

i s 130, w h a t i s t h e p o s s i b l e

m a x i m u m o f t h e i r p r o d u c t ?

Answered by BaliramKumar last updated on 14/Dec/24

2 + x + y = 130

x + y = 128

f o r {x y}_{m a x} \Rightarrow x = y = \frac{128}{2} = 64

b u t 64 i s n o t p r i m e s o x a n d y n e a r e s t t o 64

x = 64 - 3 = 61

y = 64 + 3 = 67

(2, 61, 67) A n s w e r

o t h e r p a i r (2, 19, 109); (2, 31, 97)

Commented by mr W last updated on 14/Dec/24

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