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CLIMATIC DISORDER 
Ion Murgu Infinity Divergent Conjecture
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Working To Fermat’s Last Theorem and Ion Murgu
Circles Conjecture or Ion Murgu Circles Paradox
what I needed for My Theory SHOEtheory(don’t smile
please!) I Discovered also there isn’t a Large Prime
Number.
by Ion Murgu , From: OHIO, USA september 22, 2015
I discovered we have a kind of prime numbers going
to infinity .
This Kind of numbers are
1(MR(2k)) where MR(2K) is Murgu Repetition for 1
like k=1, k=2  1111 and so on
generate a prime number following next formula
If note 1(MR(2k) with X and will use Pythagorean
formula for an Integers triple X^2 + Y^2 = Z^2
with X , Y , Z integers one of integers (X or Z) will be a
prime numbers if X, Y and Z can’t to be expressed as
X= P X1 , Y=PY1 and Z=PZ1 in the same time, with
P,X1,Y1, Z1 integers or in simple terms if equality
(X^2 + Y^2 = Z^2 ) isn’t divisible with P or P^2 having
as result an another Pythagorean triplets.
Ion Murgu Infinite Prime Generator Formula for this
kind of numbers (that don’t include all prime numbers
included between) :
X^2 = 2Z  1 then 2Z= (X^2)+ 1
we can deduce Z wich will be our Prime Number
I tested it for 11, 1111, 111111
1) 11: Z = 61
2) 1,111  Z= 617161
3) 111,111  Z=6172827161
4) 11,111,111  Z= 61728393827161.
For :
5) 1,111,111,111  Z= 617283950493827161 also I will try for
2
by Ion Murgu , From: OHIO, USA september 22, 2015
6) 111,111,111,111  Z= 6172839506160493827161
7) 11,111,111,111,111 Z= 61728395061727160493827161
8) 1,111,111,111,111,111
Z= 617283950617283827160493827161
Anyway for my all (Z) those numbers same to be prime
generated from a Pythagorean composite number of form
X =1(MR(2k) and this kind of numbers have also a very
important property To make a rapport X/11
and to follow the series :
1, 101 , 10101, 1010101, 101010101 etc which not all are
prime numbers but via 1(MR(2k)) have theirs Interest for
future analyze. Are you in our way to meet a strange
divergent law of evolution for prime numbers? We don’t
have a computer so strong to test it going to infinity but
present to much interest to not keep it into history.
Then until proof contrary I declare
Ion Murgu hypothesis:
We don’t have a conjecture to an maxim prime number,
every time for a prime number Z= (X^2 +1)/2 with
X=1(MR(2k) we will have an another prime number Z1>Z
and Z1=(X1^2+1)/2 with X1=1(MR(2(k+1))) and between
Z1 and Z will be a lot of prime numbers also biggest then Z.
And for amazement I will declare also the biggest known
prime number generated for Formula Z= (X^ +1)/2 with
X=1(MR(2k)) and k = 1444444.
3
by Ion Murgu , From: OHIO, USA september 22, 2015
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