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April 3rd, 2015, 03:05 AM   #61
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Math Focus: pi,prime numbers,random function
prime number produces a weird sequence of numbers

when i apply the helium function i found a weird pattern. look at this

1,2,3,4,5,5,5,6,7,7,7,7,7,8,9,8,9,8,9,9,8,9,9,9,8, 9,10,9,9,10,10,9,11,10,10,10,10,11,11,11,10,11,9,1 1,11,11,11,11,11,11,11,10,11,9,12,12

i want to ask that why prime number follow this kind of pattern?
helium function: let a random number exist
b_0=p/(p-1) where p is prime number
h(x)=log(base b_0)(x)
if you want to more about random function please view my Video on youtube
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April 3rd, 2015, 04:49 AM   #62
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Math Focus: pi,prime numbers,random function
Pi(using 2 and 3)

% MathType!MTEF!2!1!+-
% feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuL wBLn
% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqt ubsr
% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9
% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x
% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaaeaaaaaaaaa 8
% qadaWcaaWdaeaapeGaaGymaaWdaeaapeGaeqiWdahaaiabg2da 9maa
% bmaapaqaa8qadaGcaaWdaeaapeGaaG4maaWcbeaakiabgkHiTm aaka
% aapaqaa8qacaaIYaaaleqaaaGccaGLOaGaayzkaaWaaOqaa8aa baWd
% biGacYgacaGGVbGaai4za8aadaWgaaWcbaWdbiaaiwdaa8aabe aak8
% qacaGGOaWaaSaaa8aabaWdbiaaikdacaaI3aWaaOaaa8aabaWd biaa
% ikdaaSqabaGccqGHsislcaaI0aWaaOaaa8aabaWdbiaaiodaaS qaba
% aak8aabaWdbmaabmaapaqaa8qacaaIWaGaaiOlaiaaiMdacaaI 5aGa
% aGyoaaGaayjkaiaawMcaa8aadaahaaWcbeqaa8qacaaIYaaaaa aakm
% aakeaapaqaa8qadaWcaaWdaeaapeGaci4yaiaac+gacaGGZbWa aeWa
% a8aabaWdbiaadUgapaWaaWbaaSqabeaapeGaaGimaaaaaOGaay jkai
% aawMcaaaWdaeaapeGaaGymaiaaiodacaaIWaaaaaWcpaqaa8qa caaI
% YaWdamaaCaaameqabaWdbiaaikdacaaIYaaaaaaaaSWdaeaape GaaG
% Oma8aadaahaaadbeqaa8qacaaI5aaaaaaaaaa!5D08!
$\frac{1}{\pi } = \left( {\sqrt 3 - \sqrt 2 } \right)\sqrt[{{2^9}}]{{{{\log }_5}(\frac{{27\sqrt 2 - 4\sqrt 3 }}{{{{\left( {0.999} \right)}^2}}}\sqrt[{{2^{22}}}]{{\frac{{\cos \left( {{k^0}} \right)}}{{130}}}}}}$


FORMULA OF PI, NEED TO KNOW THE VALUE OF K, AND IT'S PATTERN
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April 3rd, 2015, 04:54 AM   #63
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Math Focus: pi,prime numbers,random function
Pi uniquness

$\frac{1}{\pi } = \left( {\sqrt 3 - \sqrt 2 } \right)\sqrt[{{2^9}}]{{{{\log }_5}(\frac{{27\sqrt 2 - 4\sqrt 3 }}{{{{\left( {0.999} \right)}^2}}}\sqrt[{{2^{22}}}]{{\frac{{\cos \left( {{k^0}} \right)}}{{130}}}}}}$

Last edited by Rahul k; April 3rd, 2015 at 05:05 AM.
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April 3rd, 2015, 05:11 AM   #64
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Math Focus: pi,prime numbers,random function
PI in term of 2 and 3

$\pi = \frac{{{r^{ - 1}}\left( 3 \right)}}{{{{10}^0}}} + \frac{{{r^{ - 1}}\left( {{3^2}} \right)}}{{{{10}^2}}} + \frac{{{r^{ - 1}}\left( {{2^3}} \right)}}{{{{10}^4}}} + \frac{{{r^{ - 1}}\left( {{3^3}} \right)}}{{{{10}^6}}} + \frac{{{r^{ - 1}}\left( {{3^2}*2} \right)}}{{{{10}^8}}} + \frac{{{r^{ - 1}}\left( {{2^2}*3} \right)}}{{{{10}^{10}}}}$
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April 6th, 2015, 01:31 AM   #65
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Math Focus: pi,prime numbers,random function
Question Transcendental sequence: Prime Numbers Sequence

deriving many formulas for primes. i always encounter a random number.

please help me to prove that prime number is a transcendental sequence.
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May 10th, 2015, 08:51 AM   #66
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Proof Of Riemann's Hypothesis

The real part of every non-trivial zero of the Riemann zeta function is 1/2

this could be proved using life of primes
Attached Images
File Type: jpg riemann proof.jpg (31.7 KB, 7 views)
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May 10th, 2015, 08:52 AM   #67
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see the proof
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May 11th, 2015, 06:14 AM   #68
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Your 'proof' is nonsensical. Thread closed.
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May 14th, 2015, 07:08 PM   #69
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factorisation is not unique but a periodic function to the difference of primes. for example
G(2*2)=2
also p^-1(g4)=2
g4=p(5)-p(4)

g is prime gap.
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