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 April 3rd, 2015, 02:05 AM #61 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 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
 April 3rd, 2015, 03:49 AM #62 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 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
 April 3rd, 2015, 03:54 AM #63 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 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 04:05 AM.
 April 3rd, 2015, 04:11 AM #64 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function PI in term of 2 and 3 $\pi = \frac{{{r^{ - 1}}\left( 3 \right)}}{{{{10}^0}}} + \frac{{{r^{ - 1}}\left( {{3^2}} \right)}}{{{{10}^2}}} + \frac{{{r^{ - 1}}\left( {{2^3}} \right)}}{{{{10}^4}}} + \frac{{{r^{ - 1}}\left( {{3^3}} \right)}}{{{{10}^6}}} + \frac{{{r^{ - 1}}\left( {{3^2}*2} \right)}}{{{{10}^8}}} + \frac{{{r^{ - 1}}\left( {{2^2}*3} \right)}}{{{{10}^{10}}}}$
 April 6th, 2015, 12:31 AM #65 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function 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.
May 10th, 2015, 07:51 AM   #66
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Math Focus: pi,prime numbers,random function
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
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 May 10th, 2015, 07:52 AM #67 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function see the proof
 May 11th, 2015, 05:14 AM #68 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Your 'proof' is nonsensical. Thread closed.
 May 14th, 2015, 06:08 PM #69 Member   Joined: Apr 2015 From: india Posts: 83 Thanks: 0 Math Focus: pi,prime numbers,random function 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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### nth term for prime numbers

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