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PDF-WHYEISENSTEINPROVEDTHEEISENSTEINCRITERIONANDWHYSCHONEMANNDISCOVEREDIT PDF document

x1xp1xp21wherepisprimeIfinsteadoffxweconsiderfx1wherefx1x1p1 x11xp1p1xp2pthetheoremisseentoapplydirectlyandtheirreducibilityoffx1impliestheirreducibilit

x1=xp1+xp2++1;wherepisprime.If insteadoff(x) weconsiderf(x+1) wheref(x+1)=(x+1)p1 (x+1)1=xp1+p1xp2++p;thetheoremisseentoapplydirectly andtheirreducibilityoff(x+1)impliestheirreducibilit

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