• Got up in the morning and got ready by 9A.M.8 A.M

• I bought ½ l milk packet for 19 rupees500ml, Rs.19

• After 2 rickshawalas ,convinced 3rd for Rs.20 for less than 2 kms!2, 3rd, < 2km

• Was late by 10 mins so rushed to T-2 on 3rd floor10min , 3rd, T-2

Magic of Numbers

“THE SCIENCE OF PURE MATHEMATICS IN ITS MODERN DEVELOPMENTS MAY CLAIM TO BE THE MOST ORIGINAL CREATION OF HUMAN SPIRIT”

-A.N. Whitehead

8 A.M

500ml, Rs.192, 3rd, < 2km

5min , 3rd, T-2

Ordinal

NominalCardinal

0123456789

Representing any number,Small or

LARGE

The mystery of PRIMES

“We like to think of ourselves as the basic numbers.2 3 5 7 …..We can describe any whole number uniquely just break down the number any whole number to its prime factorizationNo two numbers have the same set of primesWe’re infinite in number , yet Only one of us is even- 2 is the only even prime.The rest of us are oddThe only factors of any prime are 1 and itselfNo one can take us apartNo one can factor us furtherWe’re not composite.We’re Prime! We’re Prime!”

-Math Talk by Theoni Pappas

What is the ‘mystery’?

Prime numbers become rarer as we progress through the integers.

And the block of 1,000 numbers just below and

including 10 million has only 53 primes.

168 135 127 120 119

Sense of beauty lies not in complexity but in Simplicity of representation and proof.

‘Prime Numbers are fascinating : they seem to be randomly distributed along

the number line, yet are capable of producing beautiful patterns.’

‘Every Prime Number is an Even Multiple of Three, Plus or Minus One’ or (to say the same thing slightly differently)

‘Every Prime Number (except 2 and 3) is a Multiple of Six, Plus or Minus One.’

5 = 3 × 2 – 1 7 = 3 × 2 + 111 = 3 × 4 – 113 = 3 × 4 + 117 = 3 × 6 – 119 = 3 × 6 + 123 = 3 × 8 – 129 = 3 × 10 – 131 = 3 × 10 + 137 = 3 × 12 + 141 = 3 × 14 – 1

‘THE GLADDISH CONJECTURE OR THEOREM’

On the basis of the Gladdish Theorem

6000000000000000000000000000000000000000000000000000000000000000000001

and

599999999999999999999999999999999999999999999999999999999999999999999999999999

are both Prime Numbers

This leads me to yet another mystery about prime numbers mathematicians have always

wondered is given any moment of time , what is the biggest prime that we know about?

39 digits!!

2521 – 1 (1952)24423 – 1 (1961)219937 – 1 (1971)2216091 – 1 (1985)21398269 – 1 (1996)220996011 – 1 (2003)237156667 – 1 (2008)

Dr. Cooper

• codes that currently protect the world's cyber-secrets

• Cryptography• ATM

APPLICATIONS

Primes in Nature

In Nashville, every 13 years, the forests get drowned out for six weeks by the chorus of an insect- cicadas

This cicadas survival depends on exploiting the strange properties of some of the most fundamental numbers in mathematics - the primes

The cicadas appear periodically but only emerge after a prime number of years.

Because 13 and 17 are both indivisible this gives the cicadas an evolutionary advantage as primes are helpful in avoiding other animals with periodic behaviour. Suppose for example that a predator appears every six years in the forest. Then a cicada with an eight or nine-year life cycle will coincide with the predator much more often than a cicada with a seven-year prime life cycle.

These insects are tapping into the code of mathematics for their survival. The cicadas unwittingly discovered the primes using evolutionary tactics

It is almost impossible to spot a pattern that will help you to predict where the next prime will be found.We know primes go on for ever but finding a pattern in the primes is one of the biggest mysteries in mathematics.

THANK YOU