1sorry can't get the ques [7]
where do the n composites have to exist ?
Show that for any number n, there are consecutive n composites that exist...
This is not an olympiad question.... It is very much from the JEE syllabus.. Just that you have to think a bit.. (hint think of n!)
-
UP 0 DOWN 0 0 39
39 Answers
1
62you have to prove that among Natural numbers, there are consecutive "n" composite numbers for every value of n
Like 8,9,10 are 3 consecutive composite numbers
24,25,26,27,28 are 5 consecutive composite numbers...
So
a,a+1, a+2.... a+n-1 are n consecutive numbers..
1ok nishant bhaiyya can u tell me one thing ---
does the proof you are going to give imply that the
first "consecutive n composites that exist" will be less than n!
if this is not so i might as well log off and sleep for a while
1@ celestine
what abt n = 1
or n = 2
or what abt 3
i don ubderstand what u mean celes
