10 May, 2009:

• Every even number greater than 46 can be expressed as sum of two abundant numbers.

18 January, 2009:

• 639172 is the largest integer with distinct digits whose square consists of digits not included in itself i.e. 639172² = 408,540,845,584

30 December, 2007:

• The Golden Ratio (Phi=1.61803...) can be expressed using four 4's as (√ 4 + √ (4!-4) )/4.

14 July, 2007:

• 1, 6 and 120 are the only numbers which are both triangular and factorial.

26 January, 2007:

• 8589934592 x 116415321826934814453125 (No zero in both numbers)
  = 1000000000000000000000000000000000
  This is the largest known example of this kind.

25 October, 2006:

• The fraction 1/998999 contains Fibonacci numbers i.e.
  
  1/998999=0.000001001002003005008013021034055089..

15 January, 2006:

• The product of 4 consecutive natural numbers can not be a cube.

7 November, 2005:

• A multidigit number with all its digits odd can never be a perfect square.

1 May, 2005:

• 27, 58 and 85 are three consecutive Smith numbers and 27 + 58 = 85 .

11 March, 2005:

• The number 3435 is the number such that 3435 = 3^3 +4^4 + 3^3 + 5^5 .

1 January, 2005:

• The number 3608528850368400786036725 is the largest number such that the number formed from first n digits is divisible by n.

15 September, 2004:

• The number FORTY is the only number in English language, all letters of which are in alphabetical order.

4 May, 2004:

• The n^th fibonacci number F_n is divisible by 9, if and only if, n and F_n both are even.

2 March, 2004:

• The product of all divisors of a number n is sqrt(n^d), where d is no. of divisors of n.

1 February, 2004:

• The only number which is equal to the sum of subfactorial of its digits is 148349. (i.e. 148349 = !1+!4+!8+!3+!4+!9).

1 January, 2004:

• The only known pair of Twin Pseudoprimes(base-2) is 4369 and 4371.

8 November, 2003:

• Every Carmichael number is squarefree.

3 August, 2003:

• No Fibonacci number is equal to the product of two smaller Fibonacci numbers.

13 June, 2003:

• 1 and 6 are the only triangular Numbers whose squares are also triangular numbers.

21 May, 2003:

• Every number greater than 11 is the sum of two composite numbers.

29 March, 2003:

• 8549176320 is a curious number(containing all ten digits) whose digits are in alphabetical order.

1 March, 2003:

• In decimal system 6661661161 is the largest known square with two distinct non-zero digits.

1 February, 2003:

• 10662526601 is the only known palindromic cube such that its cube root (i.e. 2201) is non-palindromic.

1 January, 2003:

• 8114118 is the smallest multidigit palindrome such that 8114118^th prime i.e. 143787341 is also palindrome.

1 December, 2002:

• Two consecutive numbers i.e. n and n+1 are always relatively prime.

11 November, 2002:

• The largest Triangular Number which is the product of three consecutive numbers is 258474216.

5 October, 2002:

• All Semiprimes are deficient numbers.

21 September, 2002:

• The smallest Fibonacci number containing all digits from 0 to 9 is F₇₄ i.e. 1304969544928657.

6 September, 2002:

• Triangular numbers can never end in 2,4,7 or 9.

14 April, 2002:

• The digit in the tens place of a power of 7 is always 0 or 4.

10 March, 2002:

• All Composite Mersenne numbers are Strong Pseudoprimes (base-2).

10 February, 2002:

• There can be maximum five consecutive deficient Numbers and smallest such set is 7, 8, 9, 10 and 11.

20 January, 2002:

• There can not be four perfect squares in arithmetical progression.

6 January, 2002:

• The smallest triplet of consecutive Abundant Numbers is 171078830, 171078831, 171078832.

31 December, 2001:

• The largest known Fibonacci Number consisting of only odd digits is 17711.

23 December, 2001:

• 41096 * 83 = 3410968

17 December, 2001:

• The smallest Fibonacci Number that is also a Smith Number is 1346269.

9 December, 2001:

• The numbers in the series 1, 11, 111, 1111, 11111, ... are all Triangular Numbers in base-9.

30 November, 2001:

• The smallest titanic factorial is 450! . This has 1001 digits and is also known as Arabian Nights Factorial.

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