Saturday, February 27, 2016

Mathematically 100

One Hundred (100)

1. It is the smallest three digit number.

2. It is the sum of first 10 odd numbers.
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100

3. Boiling point of water is 100^0C

4. It is the sum of 2 consecutive triangular numbers.
45 + 55 = 100

5. It is the sum of 9 consecutive primes.
2 + 3 + 5 + 7 + 11 +13 +17 + 19 + 23 = 100

6. It is a square number.
10^2 = 100

7. It can be expressed as the sum of cube of first four natural numbers.
1^3 + 2^3 + 3^3 + 4^3 = 100

8. It is an abundant number.

9. It is a centered 33 gonal number.

10. It can be expressed as the sum of four pairs of prime numbers.
47 + 53 = 17 + 83 = 3 + 97 = 41 + 59 = 100

11. It is a Harshad number in base 10.

12. It is a Leyland number which can be expressed in the form of a^b + b^a .
100 = 2^6 + 6^2

13. It is the smallest number whose common logarithm is a prime number.
log 10^100 = 2

14. The atomic number of Fermium is 100.

15. A century has 100 years.

16. There is a very interesting puzzle which says – using digits from 1 to 9, and mathematical operators + and - , make 100. There are several solutions to this puzzle few of them are provided here.
98 – 76 + 54 + 3 + 21 =100

9 – 8 + 76 + 54 – 32 + 1 = 100
98 + 7 + 6 – 5 – 4 – 3 + 2 – 1 = 100
9 – 8 + 76 – 5 + 4 + 3 + 21 = 100
98 – 7 – 6 – 5 – 4 + 3 + 21 = 100


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Dr Rajesh Kumar Thakur

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