---------- Forwarded message ----------

From: Imran Petiwala

Date: Mon, 28 Mar 2005 05:30:08 -0800 (PST)

Subject: [itsdifferent] Mind Blowing.....................

To: itsdifferent

amit panchal

h.chauhan@mcplc.com, j.sharma@mcplc.com, m.mehta@mcplc.com,

p.venkatesh@mudra.com, yogi patel

jayesh

Mind Blowing.....................

0 s the additive identity.

1 is the multiplicative identity.

2 is the only even prime.

3 is the number of spatial dimensions we live in.

4 is the smallest number of colors sufficient to color all planar maps.

5 is the number of Platonic solids.

6 is the smallest perfect number.

7 is the smallest number of integer-sided rectangles that tile a

rectangle so that no 2 rectangles share a common length.

8 is the largest cube in the Fibonacci sequence.

9 is the maximum number of cubes that are needed to sum to any positive integer.

10 is the base of our number system.

11 is the largest known multiplicative persistence.

12 is the smallest abundant number.

13 is the number of Archimedian solids.

14 is the smallest number n with the property that there are no

numbers relatively prime to n smaller numbers.

15 is the smallest composite number n with the property that there is

only one group of order n.

16 is the only number of the form xy=yx with x and y different integers.

17 is the number of wallpaper groups.

18 is the only number that is twice the sum of its digits.

19 is the maximum number of 4th powers needed to sum to any number.

20 is the number of rooted trees with 6 vertices.

21 is the smallest number of distinct squares needed to tile a square.

22 is the number of partitions of 8.

23 is the smallest number of integer-sided boxes that tile a box so

that no two boxes share a common length.

24 is the largest number divisible by all numbers less than its square root.

25 is the smallest square that can be written as a sum of 2 squares.

26 is the only number to be directly between a square and a cube.

27 is the largest number that is the sum of the digits of its cube.

28 is the 2nd perfect number.

29 is the 7th Lucas number.

30 is the largest number with the property that all smaller numbers

relatively prime to it are prime.

31 is a Mersenne prime .

32 is the smallest 5th power (besides 1).

33 is the largest number that is not a sum of distinct triangular numbers.

34 is the smallest number with the property that it and its neighbors

have the same number of divisors.

35 is the number of hexominoes.

36 is the smallest number (besides 1) which is both square and triangular .

37 is the maximum number of 5th powers needed to sum to any number.

38 is the last Roman numeral when written lexicographically.

39 is the smallest number which has 3 different partitions into 3

parts with the same product.

40 is the only number whose letters are in alphabetical order.

41 is the smallest number that is not of the form |2x - 3y|.

42 is the 5th Catalan number.

43 is the number of sided 7-iamonds.

44 is the number of derangements of 5 items.

45 is a Kaprekar number.

46 is the number of different arrangements (up to rotation and

reflection) of 9 non-attacking queens on a 9x9 chessboard.

47 is the largest number of cubes that cannot tile a cube.

48 is the smallest number with 10 divisors.

49 is the smallest number with the property that it and its neighbors

are squareful.

50 is the smallest number that can be written as the sum of of 2

squares in 2 ways.

51 is the 6th Motzkin number.

52 is the 5 th Bell number.

53 is the only two digit number that is reversed in hexadecimal.

54 is the smallest number that can be written as the sum of 3 squares in 3 ways.

55 is the largest triangular number in the Fibonacci sequence.

56 is the number of reduced 5 x 5 Latin squares.

57 = 111 in base 7.

58 is the number of commutative semigroups of order 4.

59 is the smallest number whose 4th power is of the form a4+b4-c4.

60 is the smallest number divisible by 1 through 6.

61 is the 6th Euler number .

62 is the smallest number that can be written as the sum of of 3

distinct squares in 2 ways.

63 is the number of partially ordered sets of 5 elements.

64 is the smallest number with 7 divisors.

65 is the smallest number that becomes square if its reverse is either

added to or subtracted from it.

66 is the number of 8-iamonds.

67 is the smallest number which is palindromic in bases 5 and 6.

68 is the last 2-digit string to appear in the decimal expansion of .

69 has the property that n2 and n3 together contain each digit once.

70 is the smallest abundant number that is not the sum of some subset

of its divisors.

71 divides the sum of the primes less than it.

72 is the maximum number of spheres that can touch another sphere in a

lattice packing in 6 dimensions.

73 is the smallest number (besides 1) which is one less than twice its reverse.

74 is the number of different non-Hamiltonian polyhedra with minimum

number of vertices.

75 is the number of orderings of 4 objects with ties allowed.

76 is an automorphic number.

77 is the largest number that cannot be written as a sum of distinct

numbers whose reciprocals sum to 1.

78 is the smallest number that can be written as the sum of of 4

distinct squares in 3 ways.

79 is a permutable prime.

80 is the smallest number n where n and n+1 are both products of 4 or

more primes.

81 is the square of the sum of its digits.

82 is the number of 6-hexes.

83 is the number of zero-less pandigital squares.

84 is the largest order of a permutation of 14 elements.

85 is the largest n for which 12+22+32+...+n2 = 1+2+3+...+m has a solution.

86 = 222 in base 6.

87 is the sum of the squares of the first 4 primes.

88 is the only number known whose square has no isolated digits.

89 = 81 + 92

90 is the number of degrees in a right angle.

91 is the smallest pseudoprime in base 3.

92 is the number of different arrangements of 8 non-attacking queens

on an 8x8 chessboard.

93 = 333 in base 5.

94 is a Smith number.

95 is the number of planar partitions of 10.

96 is the smallest number that can be written as the difference of 2

squares in 4 ways.

97 is the smallest number with the property that its first 3 multiples

contain the digit 9.

98 is the smallest number with the property that its first 5 multiples

contain the digit 9.

99 is a Kaprekar number.

100 is the smallest square which is also the sum of 4 consecutive cubes.

101 is the number of partitions of 13.

102 is the smallest number with three different digits.

103 has the property that placing the last digit first gives 1 more

than triple it.

104 is the smallest known number of unit line segments that can exist

in the plane, 4 touching at every vertex.

105 is the largest number n known with the property that n - 2k is

prime for k>1.

106 is the number of trees with 10 vertices.

107 is the exponent of a Mersenne prime.

108 is 3 hyperfactorial.

109 is the smallest number which is palindromic in bases 5 and 9.

110 is the smallest number that is the product of two different substrings.

111 is the smallest possible magic constant of a 3 x 3 magic square of

distinct primes.

112 is the side of the smallest square that can be tiled with distinct

integer-sided squares.

113 is a permutable prime.

114 = 222 in base 7.

115 is the number of rooted trees with 8 vertices.

116 is a value of n for which n!+1 is prime.

117 is the smallest possible value of the longest edge in a Heronian

Tetrahedron

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Regards...

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