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


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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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