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April 2nd, 2015, 01:14 AM   #11
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Math Focus: pi,prime numbers,random function
Prime Numbers: Newton's observation on Random Integer

Random integer could be written as the difference of Fibonacci binomial coefficient. Take an example of group 2.
Let 1=a and 2=b then
P(n) B(random integer) Pattern
11 1 a
13 1 b-a
17 3 b+a
19 3 b^2-a^2
23 5 b^2+a^2
29 9 b^3+a^3
31 9 〖(a+b)〗^2

Also category of prime
Stability category
H=1 (0,1) (1,2)
H=2 (2,3) (3,4)
H=3 (3,4) (4,5)
(0,1) denotes e^0,e^1
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April 2nd, 2015, 01:15 AM   #12
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Prime Numbers: Newton's prime law

It states that
1. First law (variation in h): it states that f_3h is place where the group changes.
2. Second law (variation in b):it state that f_2h are the numbers where variation in b takes place.
In fact first law could be stated in term of stability as odd places correspond to stability category of prime.
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April 2nd, 2015, 01:18 AM   #13
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Prime Numbers: properties of prime numbers

1. Difference of prime: it states that “difference of prime number occur repeatedly thrice or more than thrice”. It is on the basis of d(n).
2. Oscillation of prime (unit’s digit of the form of 1,3,7,and 9): it is on the basis of perfect prime number, whenever the difference of perfect prime number occurs less then there take place oscillation of prime.
3. third property is that prime number could not be accurately solved , it could only be solved precisely. it is on the basis of uncertainty principle.
4. 2 is an exception prime(just like hydrogen).
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April 2nd, 2015, 01:19 AM   #14
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Prime Numbers: classfication of prime numbers

Prime number could be classified by different method. Here I am gone discuss two of them. one is Euclidean classification and other is Euler’s classification.
1. Euclidean classification of prime: it is given by the relation n-b= h^x+d . Read as cg(x, d) prime, also there is lots of category of prime numbers some of these are:
Cg (0, 0) prime are 3,5,7 (h=1) 29(h=2) cg(0,0) property is not yet discovered.
Cg(1,0) prime obey the property log_π⁡〖p_0 〗≈h+1 where p_0 is cg(1,0) prime
2. Euler’s form of classification: in Euler form prime are classify into two categories.
If ln (o)>1 then prime are called earth prime number.
If ln (o)<1 prime are called not earth prime number.
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April 2nd, 2015, 01:21 AM   #15
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Prime Numbers(Random Function): properties of random function

Definition of random function: Function which involves prime numbers is known as random function.
Random numbers: numbers having fixed range and it is related to prime numbers are known as random numbers.ex ln (o) in Euler’s form of prime.
2.1 Properties of random function
1. Every random function is logarithmic function with a random base.
2. When any number is divided by 0 it becomes the universal set of random numbers having range (-∞,+∞).
3. Property of logarithmic are applied in random function.
4.d(1),G(1),h(1),i(1),j(1) have value 0.
5. Random numbers have different value for a fixed number but have finite value.
6. Random number-random number≠0.
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April 2nd, 2015, 01:23 AM   #16
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Prime Numbers(Random Function): God Function

Let a random number b be defined as b^p=p where p is prime, and range of b is 1<b≤∛3.
Also d(y) = log_b⁡y
In simple words if y = p^a q^b where p, q are prime then
d(y)= a*p+q*b
Graph of god function
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April 2nd, 2015, 01:24 AM   #17
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Prime Numbers(Random Function): Helium Function

Let a random number b_0 be define as
p=b_0 (p-1) Having range 1<b_0≤2 and h(y) = log_(b_0 )⁡y
Graph of helium function
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April 2nd, 2015, 01:27 AM   #18
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Prime Numbers(Random Function): Geo Function

Let a random number g_0,having range from 2≤g_0<∞ and it is related to prime as
g_0∈{2,3,5,7,…} G(y) = log_(g_0 )⁡y
Graph of geo function


If y = p^a q^b where p , q are prime then
G(y) = a+b also d(y)=g_0G(y)
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April 2nd, 2015, 01:30 AM   #19
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Prime Numbers(Random Function): more random Function

If y= p^a q^b p ,q are prime then
I(y)=ap(p)+bp(q) this is indium function used in finding the oscillating number.
J(y) = ap^(-1) (p)+bp^(-1) (q) this is j-function.
Graph of indium function


Graph of j-function
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April 2nd, 2015, 01:31 AM   #20
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Collected wisdom of Rahul k

There is many use of random function some of these are
1. god function is used to find the nth term of prime precisely.
2. helium and j-function are used to measure the randomness of prime.
3. geo function is used to calculate atomic weight of the element precisely.
4.indium function is used to find the oscillating number.
5. god function is also used in theory of future and theory of god.
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