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Td[(Aufgab)-32(e)-384(R3.)]TJ/F15 10.91 Tf 80.39 0 Td[(\0504)-334(Punkte\051)]TJ -80.39 -13.55 Td[(Berec)27(hnen)-363(Sie)-363(einen)-363(gr)]TJ 109.68 -0.47 Td[()]TJ 0 0.47 Td[(oten)-363(gemeinsamen)-365(T)83(eiler)]TJ/F18 10.91 Tf 128.05 0 Td[(d)]TJ/F15 10.91 Tf 9.64 0 Td[(der)-363(Zahlen)-363(532)-363(und)-362(434)-363(und)-362(stellen)-364(Sie)-363(ihn)-362(in)]TJ -247.37 -19.14 Td[(der)-333(F)84(orm)]TJ/F18 10.91 Tf 47.48 0 Td[(d)]TJ/F15 10.91 Tf 8.71 0 Td[(=)]TJ/F18 10.91 Tf 11.52 0 Td[(a)]TJ/F21 10.91 Tf 8.19 0 Td[()]TJ/F15 10.91 Tf 5.45 0 Td[(532)-222(+)]TJ/F18 10.91 Tf 29.7 0 Td[(b)]TJ/F21 10.91 Tf 7.11 0 Td[()]TJ/F15 10.91 Tf 5.45 0 Td[(434)-333(mit)]TJ/F18 10.91 Tf 40 0 Td[(a;)-166(b)]TJ/F21 10.91 Tf 18.33 0 Td[(2)]TJ/F30 10.91 Tf 10.3 0 Td[(Z)]TJ/F15 10.91 Tf 10.91 0 Td[(dar.)-547(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 280.12 -19.9 187.88 0.4 re f 280.12 -35.68 0.4 15.78 re f 467.6 -35.68 0.4 15.78 re f 280.12 -36.08 187.88 0.4 re f 0 -46.24 468 0.5 re f 1 0 0 1 0 -64.84 cm BT /F36 10.91 Tf 0 0 Td[(Aufgab)-32(e)-384(R4.)]TJ/F15 10.91 Tf 80.39 0 Td[(\0508)-334(Punkte\051)]TJ -80.39 -16.91 Td[(\0501\051)-666(Es)-334(sei)]TJ/F18 10.91 Tf 52.39 0 Td[(')]TJ/F15 10.91 Tf 10.78 0 Td[(die)-333(eulersc)28(he)]TJ/F18 10.91 Tf 64.03 0 Td[(')]TJ/F15 10.91 Tf 7.13 0 Td[(-F)83(unktion.)-442(Berec)27(hnen)-333(Sie)]TJ/F18 10.91 Tf 124.88 0 Td[(')]TJ/F15 10.91 Tf 7.14 0 Td[(\05060\051.)-630(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-161(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 435.12 -4.12 32.88 0.4 re f 435.12 -19.9 0.4 15.78 re f 467.6 -19.9 0.4 15.78 re f 435.12 -20.3 32.88 0.4 re f 1 0 0 1 0 -37.32 cm BT /F15 10.91 Tf 0 0 Td[(\0502\051)-666(Wie)-333(viele)-334(Einheiten)-332(\050in)28(v)28(ertierbare)-332(Elemen)27(te\051)-334(hat)-332(der)-333(Ring)]TJ/F30 10.91 Tf 303 0 Td[(Z)]TJ/F18 10.91 Tf 7.27 0 Td[(=)]TJ/F15 10.91 Tf 5.46 0 Td[(60)]TJ/F30 10.91 Tf 12.72 0 Td[(Z)]TJ/F15 10.91 Tf 9.09 0 Td[(?)-580(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-161(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 435.12 12.79 32.88 0.4 re f 435.12 -2.99 0.4 15.78 re f 467.6 -2.99 0.4 15.78 re f 435.12 -3.39 32.88 0.4 re f 1 0 0 1 0 -20.41 cm BT /F15 10.91 Tf 0 0 Td[(\0503\051)-666(Bestimmen)-335(Sie)-333(die)-333(kleinste)-333(Zahl)]TJ/F18 10.91 Tf 177.85 0 Td[(n)]TJ/F21 10.91 Tf 9.58 0 Td[(2)]TJ/F30 10.91 Tf 10.3 0 Td[(N)]TJ/F16 7.97 Tf 7.88 -1.63 Td[(0)]TJ/F15 10.91 Tf 8.37 1.63 Td[(mit)]TJ/F18 10.91 Tf 20 0 Td[(n)]TJ/F21 10.91 Tf 9.57 0 Td[()]TJ/F15 10.91 Tf 11.52 0 Td[(7)]TJ/F16 7.97 Tf 5.45 3.96 Td[(162)]TJ/F15 10.91 Tf 16.24 -3.96 Td[(mo)-28(d)-277(60.)-545(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-161(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 435.12 12.8 32.88 0.4 re f 435.12 -2.99 0.4 15.78 re f 467.6 -2.99 0.4 15.78 re f 435.12 -3.38 32.88 0.4 re f 0 -13.55 468 0.5 re f 1 0 0 1 0 -32.14 cm BT /F36 10.91 Tf 0 0 Td[(Aufgab)-32(e)-384(R5.)]TJ/F15 10.91 Tf 80.39 0 Td[(\0506)-334(Punkte\051)]TJ -80.39 -16.91 Td[(\0501\051)-666(Die)-334(Anzahl)-332(der)-333(irreduziblen)-331(T)83(eiler)-333(v)28(on)]TJ/F18 10.91 Tf 210.27 0 Td[(x)]TJ/F16 7.97 Tf 6.24 3.95 Td[(2)]TJ/F17 5.98 Tf 4.23 2.82 Td[(5)]TJ/F21 10.91 Tf 7.07 -6.77 Td[( )]TJ/F18 10.91 Tf 10.91 0 Td[(x)]TJ/F21 10.91 Tf 9.27 0 Td[(2)]TJ/F30 10.91 Tf 10.3 0 Td[(Z)]TJ/F16 7.97 Tf 7.27 -1.64 Td[(2)]TJ/F15 10.91 Tf 4.74 1.64 Td[([)]TJ/F18 10.91 Tf 3.03 0 Td[(x)]TJ/F15 10.91 Tf 6.23 0 Td[(])-500(ist)-518(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-161(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 435.12 -4.12 32.88 0.4 re f 435.12 -19.9 0.4 15.78 re f 467.6 -19.9 0.4 15.78 re f 435.12 -20.3 32.88 0.4 re f 1 0 0 1 0 -40.16 cm BT /F15 10.91 Tf 0 0 Td[(\0502\051)-666(Die)-334(Anzahl)-332(der)-333(irreduziblen)-331(P)27(olynome)-332(v)28(om)-334(Grad)-332(5)]TJ 268.68 -0.47 Td[()]TJ -0.3 0.47 Td[(ub)-27(er)]TJ/F30 10.91 Tf 25.18 0 Td[(Z)]TJ/F16 7.97 Tf 7.27 -1.63 Td[(2)]TJ/F15 10.91 Tf 8.37 1.63 Td[(ist)-429(.)-162(.)-161(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)-162(.)]TJ ET 435.12 12.79 32.88 0.4 re f 435.12 -2.99 0.4 15.78 re f 467.6 -2.99 0.4 15.78 re f 435.12 -3.38 32.88 0.4 re f 0 -13.55 468 0.5 re f 1 0 0 1 0 -32.14 cm BT /F36 10.91 Tf 0 0 Td[(Aufgab)-32(e)-384(R6.)]TJ/F15 10.91 Tf 80.39 0 Td[(\0505)-334(Punkte\051)]TJ -80.39 -16.91 Td[(Wie)-333(viele)-333(Ideale)-334(hat)-333(der)-332(Ring)]TJ/F30 10.91 Tf 144.12 0 Td[(Z)]TJ/F16 7.97 Tf 7.27 -1.64 Td[(2)]TJ/F15 10.91 Tf 4.74 1.64 Td[([)]TJ/F18 10.91 Tf 3.03 0 Td[(x)]TJ/F15 10.91 Tf 6.23 0 Td[(])]TJ/F18 10.91 Tf 4.85 0 Td[(=)]TJ/F15 10.91 Tf 5.45 0 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