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Benedict Irwin edited 9090+3.tex
over 9 years ago
Commit id: 4750997b0c651f23cc7871071ae126f0a1684f47
deletions | additions
diff --git a/9090+3.tex b/9090+3.tex
index e3b5a2c..172f15c 100644
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\end{equation}
These appear always divisible by 3. We may have unearted a form, $3030... +1$. As expected.
The nest thing to check would be all numbers $1$ through $9$ for a similar +1 form. If such numbers are always divisible by $3$ thenn we know if any prime of the form $(90;;n)+1$, were a double prime, it must be the upper of the two with a pair of the form
$(90;;n)-2$. $(90;;n)-1$.
By the digit sum we probably know the next sequence $9090+9...$ cannot be prime.
...
\end{array}
\end{equation}
Will all be divisible by $9$.
\begin{equation}
\begin{array}{|c|c|c|}
\hline
(90;;n)-1 & p? & rep \\
\hline
(90;;1)-1 & 1 & 89 \\
(90;;2)-1 & 0 & 61×149 \\
(90;;3)-1 & 1 & (90;;3)-1 \\
(90;;4)-1 & 1 & (90;;4)-1 \\
(90;;5)-1 & 0 & 2549×3566461 \\
(90;;6)-1 & 0 & 11^2×7513148009 \\
(90;;7)-1 & 0 & 79×203279×5660929 \\
(90;;8)-1 & 0 & 19×6679×71637804989 \\
(90;;9)-1 & 0 & 23×29×743×1834394194069 \\
(90;;10)-1& 0 & 163×557724484104852203 \\
(90;;11)-1& 1 & (90;;11)-1 \\
(90;;12)-1& 0 & 11174664913×81352856319953 \\
(90;;13)-1& 0 & 367×276707645239×895200038153 \\
(90;;14)-1& 0 & 23887×97928921×3886285801408807 \\
(90;;15)-1& 1 & (90;;15)-1 \\
(90;;16)-1& 0 & 43×2171377491319×973651478526809717 \\
(90;;17)-1& 0 & 11×19^2×54184152902129×42250819759581371 \\
(90;;18)-1& 0 & 348637×2607557170039063813964355214997 \\
(90;;19)-1& 0 & 113×389×1901×12037×18553×3410051×1428577723920407 \\
(90;;20)-1& 0 & 23^2×67×79×77862675719×41698499254488057125923 \\
(90;;21)-1& 1 & (90;;21)-1 \\
(90;;22)-1& 0 & 116548301×316802597×2462139382578592432493671937 \\
(90;;23)-1& 0 & 29×89×223×614701×25695112744556108783455528889830703 \\
\hline
\end{array}
\end{equation}