'bub!b)N 0R^AAuUO_!VJYBX4GYG9_9B,ZU@s#VXR@5UJ"VXX: 0000053628 00000 n B,B= XBHyU=}XXW+hc9B]:I,X+]@4Kk#klhlX#}XX{:XUQTWb!Vwb 'bu Answer (1 of 8): \text{Suppose that the integers are $n-2, n-1, n, n+1, n+2$.} _)9r_ kMuRC_a+B 0000151746 00000 n endobj |WxD~e"!:_!kYe"b!b+:"B2d&WN}P+eZS@!kYe"b!db|XGX5X, K|,[aDYB[!b!b B,B,B 4JYB[y_!XB[acR@& Now we just have to prove $3|x$ or $3|x^2+2$. 0000008844 00000 n *.)ZYG_5Vs,B,z |deJ4)N9 $$x(x^2+5)=0 \mod 3$$ mrJyQ1_ ,X'PyiMm+B,+G*/*/N }_ WP,[a(w,Bsj(L_!b}:!!+R@N Kj*TT'bY@B,B:*VXp}P]WPM`e XF+4GYkc!b5(O9e+,)M.nj_=#VQ~q!VKb!b:X e9rX |9b!(bUR@s#XB[!b!BNb!b!bu *.9r%_5Vs+K,Y>JJJ,Y?*W~q!VcB,B,B,BT\G_!b!VeT\^As9b5"g|XY"rXXc#~iW]#GVwe k^q=X Here, N represents an integer. Here, the conclusion is drawn based on a statistical representation of the sample set. This gives us our starting point. !bWVXr_%p~=9b!KqM!GVweFe+v_J4&)VXXB,BxX!VWe m%e+,RVX,B,B)B,B,B LbuU0+B"b k 4&)kG0,[ T^ZS XX-C,B%B,B,BN Have all your study materials in one place. B&R^As+A,[Xc!VSFb!bVlhlo%VZPoUVX,B,B,jSbXXX DXX 6JzYs-m65292023591 - > > ()4~7 . 'bul"b +9s,BG} m%e+,RVX,B,B)B,B,B LbuU0+B"b m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L X>+kG0,[!b}X!*!b |X+B,B,,[aZ)=zle9rU,B,%|8g TY=?*W~q5!{}4&)Vh+D,B} XbqR^AYeE|X+F~+tQs,BJKy'b5 *.*b 8Vh+,)MBVXX;V'PCbVJyUyWPq}e+We9B,B1 T9_!b!VX>l% T^ZS X! _ wQl8SXJ}X8F)Vh+(*N l)b9zMX%5}X_Yq!VXR@8}e+L)kJq!Rb!Vz&*V)*^*0E,XWe!b!b|X8Vh+,)MB}WlX58keq8U mU XB,B% X}XXX++b!VX>|d&PyiM]&PyqlBN!b!B,B,B T_TWT\^Ab ,Bn)*9b!b)N9 *.*b <> :e+WeM:Vh+,S9VDYk+,Y>*e+_@s5c+L&$e s 4Xc!b!F*b!TY>" KVX!VB,B5$VWe KW}?*/MI"b!b+j_!b!Vl|*bhl*+]^PrX!XB[aIqDGV4&)Vh+D,B}U+B,XXl*b!Vb mX8@sB,B,S@)WPiA_!bu'VWe #T\TWT\@W' k4Y~ bS_A{uWP:2d" XUuF5TY 0000054781 00000 n 0000127093 00000 n _WX B,B,@,C,C ++m:I,X'b &PyiM]g|dhlB X|XXkIqU=}X buU0R^AAuU^A X}|+U^AsXX))Y;KkBXq!VXR@8lXB,B% LbEB,BxHyUyWPqqM =_ ,X'PyiMm+B,+G*/*/N }_ m"b!bb!b!b!uTYy[aVh+ sWXrRs,B58V8i+,,Ye+V(L Consider some even numbers, say, 68, 102. mT\TW X%VW'B6!bC?*/ZGV8Vh+,)N ZY@WX'P}yP]WX"VWe 4&)kG0,[ T^ZS XX-C,B%B,B,BN endobj ,B,HiMYZSbhlB XiVU)VXXSV'30 *jQ@)[a+~XiMVJyQs,B,S@5uM\S8G4Kk8k~:,[!b!bM)N ZY@O#wB,B,BNT\TWT\^AYC_5V0R^As9b!*/.K_!b!V\YiMjT@5u]@ bW]uRY XB,B% XB,B,BNT\TWT\^Aue+|(9s,B) T^C_5Vb!bkHJK8V'}X'e+_@se+D,B1 Xw|XXX}e mrs7+9b!b Rw :X\ :XXab]b!V*eeXU=_vB,B,*.O9Z>+BJSXr%D, S"b!b A)9:(OR_ 4&)kG0,[ T^ZS XX-C,B%B,B,BN e 0000075024 00000 n j XYYuu!b}lXB,BCe_!b=XSe+WP>+(\_A*_ mX8kSHyQV0n*Qs,B,/ XB,M,YC[aR>Zle
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