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 Number Theory Number Theory Math Forum

 April 1st, 2015, 09:37 PM #1 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Collected wisdom of Rahul k well , you are trying to count exact no. of prime but actually it is not possible accurately, but rather possible precisely. let's invent a function i called it god function. if y=p^a+q^b,then d(y)=ap+qb with the help of it you can calculate the number of primes.ex d(112)=15 ,113=p(30),also 15*2=30,precise formula of nth term of prime number is n=z*d(p-1) where z=1,2,3,... April 1st, 2015, 09:50 PM #2 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Collected wisdom of Rahul k i am not a mathematician but a lover, i think in near by future there will be lot's of importance of prime number will be (especially in atomic physics). April 1st, 2015, 10:41 PM #3 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Collected wisdom of Rahul k definition of God: The thing which is always YOUNG. mathematics could be consider as always young,and in mathematics pi could be consider as always young. do you agree? e^π= p(9)/〖10〗^0 +(r^(-1) (9))/〖10〗^2 +d(9)/〖10〗^4 +(h^(-1) (9))/〖10〗^6 +(h^(-1) (d(9))/〖10〗^8 +(r^(-1) (9))/〖10〗^10 +(h^(-1) (9))/〖10〗^12 +(h^(-1) (d(9) ))/〖10〗^14 +9/〖10〗^15 April 1st, 2015, 10:46 PM #4 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function PI inventing formula freinds i need your help to develop the formula for pi,if k is developed this formula will produce aroud 20 digit per term(highest till now). 1/π=(√3-√2)√(2^9&log_5⁡〖((27√2-4√3)/〖(0.999)〗^2 〗 √(2^22&(cos⁡(k^0))/130)) could you help me to find the series of k(k is in degrees) April 1st, 2015, 11:28 PM #5 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Two suggestions:Don't mix mythology and science. Learn to use $\LaTeX$ April 2nd, 2015, 12:41 AM #6 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function let root z= x^2 then apply it you will get the answer. April 2nd, 2015, 01:05 AM #7 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Prime Numbers: Euclidean form of prime P(n) = h*n+b How the idea came into my mind. I was thinking about the Number of chromosomes of human and in the development of the baby. Each parent contributes 23 chromosomes and time taken for development of baby is 9 months. p(9) = 23 P(n)=hn+b h=[P(n)/n] p(n)%n=b [] represent greatest integer function.% sign stands for remainder. H is group number , b is random integer, and n is nth term of prime. Such that (-1)^b=------ when h is even When h is odd then (-1)^b=±±±± or (-1)^b=∓∓∓∓∓ April 2nd, 2015, 01:08 AM #8 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Prime Numbers: Euler's form of prime Let highest random integer in a group h is denoted byb_∞^h. And highest difference in a group h is d_∞^h.then it has been found that ln⁡〖(b_∞^h )>h and d_∞^h<2e^(h/2) 〗 P(n)=hn+b now dividing both side by n we get (p(n))/n=h+b/n . Now when h approaches to h+1 then b becomes highest random integer also b→n. Then putting b=n and b_∞^h=e^h we get P(n)=hn+e^h also p(n)= ln⁡〖(e^n*n^n)〗 Now this equation will give the precise value of prime so to make it accurate I introduce o (omicron).since we need to change something it can’t be n so I change e with o(omicron).so the given equation becomes. p(n)=m+(n*ln⁡(n))/(ln⁡(o)) . o is called prime constant. ln⁡(o)= (nln(n))/(p(n)-n) range of ln(o) is found to be Log_π⁡8.3
 April 2nd, 2015, 01:10 AM #9 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Prime Numbers: Fibonacci form of prime I had observed that highest random integer in a group h is equal to f_(h+2)^2.f is fibonnacci sequence.then p(n) could be writtern as p( n)=f_(h+2)^2 (h+1)+y where y is fibonnacci coefficient of prime. This formula could be used to calculate last prime of the group precisely. April 2nd, 2015, 01:11 AM #10 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function Prime Numbers: Ramunujan's form of prime Reciprocal of prime is define as R(n,h)= 〖10〗^h/(p(n)) , it has been found that Ln(R(n,h))=h+x(n) where x(n) is ramunujan’s factor for prime. p(n)= 〖10〗^h e^(-h-x(n)) Also if p_i^h be the first prime of group h then it has been found that p_i^h≥e^h √h Tags collected, conjectureusing, digit, discovering, euler, formula, function, goldbach, hypothesis, invent, making, number, numbers, pi(pi), piusing, prime, primes, probability, produces, proof, rahul, random, riemann, sequence, term, weird, wisdom ### nth term for prime numbers

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