If we mention about $\sqrt{2}=1.41421356$ It contains 1,2,3,4,5,6,41,414,4142,41421 But it does not contain 4121 $\sqrt(2)$ does not contain repetitive patterns and it is not transcendental number(0,10010001...)(which contains only specific digits) and I tried to prove that after comma after some point $\sqrt(2)$ can not contain repetitive natural number with specific distance such as(3165,3,3165,7,3165,9,3165,3,..)and I tried to prove that after comma at some specific point some digit can not be eliminated such as 3 or 2 are possible but others not(3264,3,2563,2,3564,3,...).if these two sentences are proved.İt can prove that $\sqrt(2)$ contains all natural numbers.In fact I tried to prove that impossibility of solving this problem(I think that in math there can be propositions which can be true or false but proving is impossible.)
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5This is not clear. If you are asking whether or not the decimal expansion of $\sqrt 2$ contains every natural number then I don't believe this is known (though it is widely believed). – lulu Aug 17 '18 at 11:29
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Welcome to MSE. For some basic information about writing mathematics at this site see, e.g., basic help on mathjax notation, mathjax tutorial and quick reference, main meta site math tutorial and equation editing how-to. – José Carlos Santos Aug 17 '18 at 11:32
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@lulu In fact this is unknown and the only evidence for the normality of $\sqrt{2}$ is the behaviour of the calculated digits and the "argument" that almost all real numbers are normal , so there is no reason that $\sqrt{2}$ is not. – Peter Aug 17 '18 at 11:34
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@Peter do we know of any not-normal irrational numbers that weren't specifically constructed as such? – John Dvorak Aug 17 '18 at 12:12
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2@JohnDvorak: Depends on what you count as "specifically constructed". For example, Liouville's constant is extremely non-normal, but its lack of normality is not the main point of the construction. AFAIR what is really in short supply are known normal numbers that are not constructed with the specific purpose of being normal. – hmakholm left over Monica Aug 17 '18 at 12:30