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Benedict Irwin edited 9090+3.tex
over 9 years ago
Commit id: 5faa1e9ad302b172dfa99bfe23af180926338322
deletions | additions
diff --git a/9090+3.tex b/9090+3.tex
index 894fe6f..9154c74 100644
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+++ b/9090+3.tex
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\hline
(90;;n)-1 & p? & rep \\
\hline
(90;;0)-1 & 0 & -1 \\
(90;;1)-1 & 1 & 89 \\
(90;;2)-1 & 0 & 61×149 \\
(90;;3)-1 & 1 & (90;;3)-1 \\
...
(90;;28)-1& 0 & 11×12510149579×241782987968309×2732287447716234951247271071909 \\
(90;;29)-1& 0 & \\
(90;;30)-1& 0 & 158017×5810155517×7902611413×125298282523772060506686627061457377 \\
(90;;31)-1& 0 & \\
(90;;32)-1& 0 & 61×2753×5003×10820336463017226267040784373271032300130570655610707711 \\
(90;;33)-1& 0 & \\
(90;;34)-1& 0 & 111599×8001491×101806636802827328234288273157274881181940184393696879221 \\
(90;;35)-1& 0
&19×349×795854063×9169675171×187862846189515179803136059557978767109168639603\\ & 19×349×795854063×9169675171×187862846189515179803136059557978767109168639603\\
(90;;36)-1& 1 & (90;;36)-1 \\
(90;;37)-1& 0 & 29×43×179×125014859×4215214153×772870180347371377158398648839149241971606696850039 \\
(90;;38)-1& 0 & \\
(90;;39)-1& 0 & 11×83×368059×1276183×779741628373×2718663269413902264178064824406985844680249085885313\\
(90;;40)-1& 0 & \\
(90;;41)-1& 0 & 181×1913×201781×130116837727433457355956869977679779763086794616103563301101019787234673 \\
(90;;42)-1& 0 & \\
(90;;43)-1& 0 & \\
(90;;44)-1& 0 & \\
(90;;45)-1& 0 & 89×233×1172740043×2294671471×16290676390868631020830767058415390673419786566840260623690267053549 \\
\hline
\end{array}
\end{equation}
We see that if $n+0=m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $1$. [0th prime?]\\
We see that if $n+5=11m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $11$. [5th prime]\\
We see that if $n-8=9m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $19$. [8th prime] \\
Pot_{lly} if $n-9=11m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $23$. [9th prime] \\
We see that if $n-9=14m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $29$. [10th prime] \\
We see that if $n-1=22m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $89$. [24th prime] \\
Pot_{lly} if $n-2=30m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $61$. [18th prime] \\
Pot_{lly} if $n-7=13m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $79$. [22nd prime] \\
Pot_{lly} if $n+14=30m\in\mathbb{Z^0}$, then $(90;;n)-1$ is divisible by $43$. [14th prime]\\
Try n-10 = 7m
9,23,37 10th prime 29...
7,20, 22nd prime 79...
n-7=13m
COULD TABULATE/CHART N+... AGAINST Xm\inZ...
primes of form
(90;;n)+1: $(90;;n)+1$: 2, 3, 9, 15, 26, 33, 146, 320, 1068, 1505 \\
primes of form
(90;;n)-1: $(90;;n)-1$: 1, 3, 4, 11, 15, 21,
36, \\
Twin primes of form $(90;;n)\pm1$ 3, 15, ...
Now the second sequence doesn't appear to be recoginsed by OEIS. We require a way of finding the two sequences, then we may identify very large double primes.