Q. What is the next number in the given series
4,18,100,294,....?

• The given series is difference of cubes and squares of consecutive prime numbers.
  2*2*2-2*2=4,
  3*3*3-3*3=18,
  5*5*5-5*5=100,
  7*7*7-7*7=294,
  11*11*11-11*11=1210
• 10 years agoHelpfull: Yes(56) No(0)
• Best solution is squareing the prime number then multiply it by previous number.
  4=2^2*1
  18=3^3*2
  100=5^5*4
  294=7^7*6
  1210=11^11*10
• 10 years agoHelpfull: Yes(26) No(12)
• clearly 2^3-2^2=4
  3^3-3^2=18
  5^3-5^2=100
  7^3-7^2=294
  11^3-11^2=1210
• 10 years agoHelpfull: Yes(6) No(1)
• t(n)=n^2*(n-1)
  where n=prime number ( 2,3,5,7,11)
  so for n=11
  t(n)=121*10=1210 ans
• 10 years agoHelpfull: Yes(4) No(3)
• n cube - n square
  2*2*2-2*2=4
  3*3*3-3*3=18,
  5*5*5-5*5=100,
  7*7*7-7*7=294,
  11*11*11-11*11=1210
• 10 years agoHelpfull: Yes(0) No(0)
• can anyone give explanation for this
• 8 years agoHelpfull: Yes(0) No(0)
• 1 * 2*2=4
  2 * 3*3=18
  4 * 5*5=100
  6 * 7*7=294
  8 * 9*9 =648
• 7 years agoHelpfull: Yes(0) No(0)
• A)1210
  
  formula is (n^3)-(n^2) where n values are prime numbers.
  (2^3)-(2^2)=4; (3^3)-(3^2)=18;......(11^3)-(11^2)=1210
• 6 years agoHelpfull: Yes(0) No(0)