Monday, January 18, 2016

Mathematically 53

Fifty Three (53)


1. It is a Prime number.

2. If there are 53 people in a room it is very likely that at least two of them share the same birthday.

3. It is the only two digit number which on reverse changes into a hexadecimal base.
53 = 3516
4. The sum of all consecutive primes from 7 to 53 is the product of 7 and 53.
7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37+ 41+ 43 + 47 + 53 = 371 = 7 x 53

5. It can be expressed as the sum of squares in two different ways.
53 = 22 + 72 = 12 + 42 + 62

6. The sum of 53 prime numbers is divisible by 53.
2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 157 + 163 + 173 + 179 + 181 + 191 + 197 + 199 + 211 + 223 + 227 + 229 + 547 = 5830 = 53 x 110

7. The sum of first 53 natural numbers is also divisible by 53.

1 + 2 + 3---- + 53 = 1431 = 53 x 27

8. It is the sum of five consecutive primes starting from 5.
5 + 7 + 11 + 13 + 17 = 53

9. It is the smallest prime which is not the difference between powers of 2 and 3.

10. Atomic number of Iodine is 53.

Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com






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