Proof of Hypothesis of twin primes

Zhang xi wen

Abstract


1. Find the distributive law of primes,
2. By the distributive law of primes, we may prove Hypothesis of twin primes,
T2m+1~4m+1≥Tinf=
( 4 1 2 )2
[ (4 1) 2 ]
2 2
m m
m m
m
a b
+
-
+
+
㏒ ㏒
+1≥1, (5≤m<∞).
3. By the integration we may obtain the most simple expression of Tinf,
T0~2m≥Tinf=[ 2
2
2
m
(㏒ m)
]+1>1, (6≤m<∞).


Keywords


Hypothesis of twin primes;prime;infimum;distributive law.

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References


. Hadamard ﹠ De La Vall′ee Poussin, Prime number Theorem. 1896


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