Friday 30 September 2011

Interesting Facts ---> 39 - Check this sequence

Notice the following sequence -

Multiplication of successive primes results in a number which has a prime number again. Is this some sort of pattern or am I reading too much into it?


19 * 17 = 323 (23 is a prime number)

23 * 19 = 437 (37 is a prime number)

29 * 23 = 667 (67 is prime)

31 * 29 = 899 (89 is prime)

37 * 31 = 1147 ( 11 and 47 are primes)

41 * 37 = 1517 ( 17 is a prime)

43 * 41 = 1763 (17is a prime)

Sunday 4 September 2011

Interesting fact ---> 38 - Question for the day

Find the four digit number or number(s) satisfying this criteria

- The number is a perfect square - WXYZ
- If the Square root of the number is AB, then (A*A) + B = WX and (B*B) = YZ

Please note that there could be more than one correct answer for the above condition

Interesting fact ---> 37 - Multiples of 7

Check the scenarios below

7 * 6 = 42

Now reverse of 42 is 24 which is 7 * 3 + 3 (see how 6 is split as 3 + 3)

7 * 7 = 49

Reverse of 49 is 94 which is 7 * 13 + 3 (here 7 is split as 1 + 3 + 3 as in 13 and 3)

Can we find more patterns in this manner?