The document describes a morning routine of getting ready by 9AM, buying milk for 19 rupees, and taking an auto rickshaw for 20 rupees for less than 2 km. It then discusses prime numbers, their unique properties of only being divisible by 1 and themselves, and how they become increasingly rare as numbers get larger. Prime numbers have applications in cryptography and coding. Cicadas emerge every 13 or 17 years, which are prime numbers, giving them an evolutionary advantage in avoiding predators with periodic behaviors. Finding patterns in the distribution of prime numbers remains a major mystery in mathematics.

1. • 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

3. “THE SCIENCE OF PURE MATHEMATICS
IN ITS MODERN DEVELOPMENTS MAY
CLAIM TO BE THE MOST ORIGINAL
CREATION OF HUMAN SPIRIT”
-A.N. Whitehead

4. 8 A.M
500ml, Rs.192, 3rd, < 2km
5min , 3rd, T-2
Ordinal
Nominal
Cardinal

5. 0
1
2
3
4
5
6
7
8
9

9. “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 factorization
No two numbers have the same set of primes
We’re infinite in number , yet
Only one of us is even- 2 is the only even prime.
The rest of us are odd
The only factors of any prime are 1 and itself
No one can take us apart
No one can factor us further
We’re not composite.
We’re Prime! We’re Prime!”
-Math Talk by Theoni Pappas

10. What is the
‘mystery’?

11. 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 53primes.
168 135 127 120 119

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

13. ‘Prime Numbers are fascinating : they
seem to be randomly distributed along
the number line, yet are capable of
producing beautiful patterns.’

14. ‘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 + 1
11 = 3 × 4 – 1
13 = 3 × 4 + 1
17 = 3 × 6 – 1
19 = 3 × 6 + 1
23 = 3 × 8 – 1
29 = 3 × 10 – 1
31 = 3 × 10 + 1
37 = 3 × 12 + 1
41 = 3 × 14 – 1
‘THE GLADDISH CONJECTURE OR THEOREM’

15. On the basis of the Gladdish Theorem
60000000000000000000000000000000000000
00000000000000000000000000000001
and
59999999999999999999999999999999999999
99999999999999999999999999999999999999
99
are both Prime Numbers

16. 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?

24. 39 digits!!

28. 2521 – 1 (1952)
24423 – 1 (1961)
219937 – 1 (1971)
2216091 – 1 (1985)
21398269 – 1 (1996)
220996011 – 1 (2003)
237156667 – 1 (2008)

33. • codes that currently
protect the world's
cyber-secrets
• Cryptography
• ATM

35. 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.

36. 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.

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

38. 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.