Download KEY POINTS: Only `2` is an even prime number. There is only one

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(Maths)
KEY POINTS:
 Only ‘2’ is an even prime number.
 There is only one set of three prime numbers with a gap of 2 between two
prime numbers and that set is 3, 5 and 7.
 Lowest composite number is 4.
 1st odd composite number is 9.
 There are total 25 prime numbers up to 100.
 There are total 46 prime numbers up to 200.
 Sum of 1 to 50 prime numbers = 328.
 Sum of 1 to 100 prime numbers = 1060.
BASIC TOOLS:
 The number of zeroes at the end of the product of numbers equals the
number of combination of the product (2 x5) in the given product. i.e.
(2n x 5n) = (2x5)n = n
(where n = number of zeroes)
 Number of zeroes--- n!
Number of zero =
+ ------- (where numerator
)
 Number of divisors or factors----If N is any number which can be factorized like
N = Pa X Qb X Rc ----- (where P,Q and R are prime number).
Number of divisors = (a +1) (b + 1) (c + 1) --------BASIC FORMULE:
1.
2.
3.
4.
5.
1 + 2 + 3 + 4 + 5 + … + n = n(n + 1)/2
(12 + 22 + 32 + ..... + n2) = n ( n + 1 ) (2n + 1) / 6
(13 + 23 + 33 + ..... + n3) = {n(n + 1)/ 2}2
Sum of first n odd numbers = n2
Sum of first n even numbers = n (n + 1)
Date of Release -23-Jan-16
SUBJECT- MATHS
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