State whether 3717*19+17 is a prime number or composite number

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Solution

Dear Student,

$A c o m p o s i t e n u m b e r i s a n i n t e g e r t h a t i s d i v i s i b l e w i t h o u t r e m a i n d e r b y a t l e a s t o n e p o s i t i v e i n t e g e r o t h e r t h a n i t s e l f a n d 1 . A n d A n u m b e r t h a t i s d i v i s i b l e o n l y b y i t s e l f a n d 1 i s k n o w n a s P r i m e n u m b e r . H e r e, 3 \times 7 \times 17 \times 19 + 17 = 17 (3 \times 7 \times 19 + 1) L e t 3 \times 7 \times 19 + 1 = m S o, 3 \times 7 \times 17 \times 19 + 17 = 17 m A s w e c a n s e e t h a t 3 \times 7 \times 17 \times 19 + 17 h a s 3 f a c t o r s : 1, 17 a n d m H e n c e, i t i s a c o m p o s i t e n u m b e r .$

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