N is an integer and N>2,at most how inters among N+2,N+3,N+4,N+5,N+6,N+7 are prime integers?

• substitute n with 3,4,5...(n>2),for instance if n is substituted by 3 then the series would be 5,6,7,8,9 among these 2 are prime numbers. check it for other numbers also we get 2
• 11 years agoHelpfull: Yes(40) No(5)
• Answer is 3......bcz 2 is only even number that is prime...so if we assume N is odd number then we must add even number to make it prime ( odd + even=odd)...so N+2,N+4,N+6 may be primes.....and if we assume N is even number then we must add odd number to make it prime (even+odd=odd)...so N+3,N+5,N+7 may be primes.
• 11 years agoHelpfull: Yes(6) No(17)
• Put n=105 and get 3 as Ans
• 11 years agoHelpfull: Yes(5) No(15)
• The answer is 2 only fr sure.
  @Danish if we use 105 we get 107 and 109 only as the prime numbers. I think you thought 111 also as the prime number but its divisible by 3.
• 11 years agoHelpfull: Yes(3) No(0)
• just consider n=3,4,5..... we will get 2 numbers will be prime numbers among those.
  
• 11 years agoHelpfull: Yes(2) No(1)
• by substituting any integer >2 u will find that there is only two prime nos that exist.so ans. is 2.
• 11 years agoHelpfull: Yes(2) No(0)
• I think its 2
• 11 years agoHelpfull: Yes(1) No(0)
• only two prime numbers. check with any number >2.
• 11 years agoHelpfull: Yes(1) No(0)
• we will get 2 numbers as prime...
• 11 years agoHelpfull: Yes(1) No(0)
• any values >3 only two prime numbers are out comes...so answer is 2
  
• 11 years agoHelpfull: Yes(1) No(0)
• only 2 are prime no's
• 11 years agoHelpfull: Yes(1) No(0)
• for any value of n greater than 2,check it.the answer will be 2.
• 11 years agoHelpfull: Yes(1) No(0)
• @Danish Shaikh:
  its 2
  coz if we take n=105
  we will get only 2 prime nos.
  ie. 107 and 109
• 11 years agoHelpfull: Yes(1) No(0)
• 2 will be answer you can check it by taking N as odd and even number
• 11 years agoHelpfull: Yes(0) No(0)
• 2 primes for all values of n=3,4,5...
  
• 11 years agoHelpfull: Yes(0) No(0)
• 4 in case if n=0
  2,3,5,7
  Rest cases will have max 3.
• 11 years agoHelpfull: Yes(0) No(6)