if n is the sum of 1st 13986 prime no.s then n is always divisible by??

Asked by vedant sharma | 21st Sep, 2014, 11:35: AM

Expert Answer:

G i v e n space t h a t space n space i s space t h e space s u m space o f space f i r s t space 13986 space p r i m e space n u m b e r s. T h e space f i r s t space p r i m e space n u m b e r space i s space 2 space a n d space a l l space o t h e r space 13985 space p r i m e s space a r e space o d d S u m space o f space 13985 space o d d space n u m b e r s space a r e space o d d space a n d space s u m space o f space a n space o d d space n u m b e r space a n d space a n space e v e n space n u m b e r comma space 2 comma space i s space o d d. T h u s comma space t h e space s u m space o f space f i r s t space 13986 space p r i m e space n u m b e r s space i s space o d d space a n d space h e n c e space i t space i s space d i v i s i b l e space b y space a n space o d d space n u m b e r.

Answered by Vimala Ramamurthy | 22nd Sep, 2014, 10:00: AM