Benedict Irwin edited 9090+3.tex  over 9 years ago

Commit id: ac6e257e3fb9f1f4ec764181417d0d5f8ce6faa0

deletions | additions      

       

(90;;28)-1& 0 & 11×12510149579×241782987968309×2732287447716234951247271071909 \\  (90;;29)-1& 0 & \\  (90;;30)-1& 0 & 158017×5810155517×7902611413×125298282523772060506686627061457377 \\  (90;;31)-1& 0 & \\ 23×...\\  (90;;32)-1& 0 & 61×2753×5003×10820336463017226267040784373271032300130570655610707711 \\  (90;;33)-1& 0 & \\ 79×...\\  (90;;34)-1& 0 & 111599×8001491×101806636802827328234288273157274881181940184393696879221 \\  (90;;35)-1& 0 & 19×349×795854063×9169675171×187862846189515179803136059557978767109168639603\\  (90;;36)-1& 1 & (90;;36)-1 \\ 

(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 & \\ 23×...\\  (90;;43)-1& 0 & \\  (90;;44)-1& 0 & \\ 19×...\\  (90;;45)-1& 0 & 89×233×1172740043×2294671471×16290676390868631020830767058415390673419786566840260623690267053549 \\  (90;;46)-1& 0 & 79×1150747986191024165707710011507479861910241657077100115074798619102416570771001150747986191 \\  (90;;47)-1& 0 & \\  (90;;48)-1& 0 & \\  (90;;49)-1& 0 & \\  (90;;50)-1& 0 & 11×... \\  (90;;51)-1& 0 & \\ 29×...\\  (90;;52)-1& 0 & 6983×187171×1076213×64629155095902444263963806439089201090498271510681620879393026187936269908369318103338921 \\  (90;;53)-1& 0 & 19×23×67×310492472110013692718020051603848864684275729734932576559681310526626281945794224219033809525288059391 \\  (90;;54)-1& 0 & 5717×109919×171614779621×8429691225584480874838874594196335279887753287630545047581060320557048152240136895517383 \\ 

(90;;56)-1& 0 & \\  (90;;57)-1& 0 & \\  (90;;58)-1& 0 & \\  (90;;59)-1& 0 & \\ 79×...\\  (90;;60)-1& 0 & \\  (90;;61)-1& 0 & 11×...\\  (90;;62)-1& 0 & \\ 19×61×\\  (90;;63)-1& 0 & \\  (90;;64)-1& 0 & \\ 23×...\\  (90;;65)-1& 0 & \\ 29×...\\  (90;;66)-1& 0 & \\  (90;;67)-1& 0 & \\ 89×...\\  (90;;68)-1& 0 & \\  (90;;69)-1& 0 & \\  (90;;70)-1& 0 & \\  (90;;71)-1& 0 & 19×86399748109×5537850630280835793385158924798585959711630523655733039869444968470991361168447402811525949960092140267365793582245494756146065959 \\  (90;;72)-1& 0 & 11×...\\ 11×79×...\\  (90;;73)-1& 0 & \\  (90;;74)-1& 1 & (90;;74)-1\\  (90;;75)-1& 0 & \\ 23×...\\  \hline  \end{array} 

We see that if $n+6=13m\in\mathbb{Z^0}$, then $(90;;n)-1$ is div by $79$. [22nd prime] \\  We see that if $n+21=22m\in\mathbb{Z^0}$, then $(90;;n)-1$ is div by $89$. [24th prime] \\  COULD TABULATE/CHART N+... AGAINST Xm\inZ... Xm\in Z...  primes of form $(90;;n)+1$: 2, 3, 9, 15, 26, 33, 146, 320, 1068, 1505 \\  primes of form $(90;;n)-1$: 1, 3, 4, 11, 15, 21, 36, 74 \\