Notăm cu a,b,c,d numerele. impar=2k+1; par=2k.
[tex]a=2k+1\\b=2(k+1)+1=2k+3\\c=2(k+2)+1=2k+5\\d=2(k+3)+1=2k+7\\a+b+c+d=86608\\2k+1+2k+3+2k+5+2k+7=86608\\8k+16=86608\\8k=86592\\k=10822\\a=2k+1=21645\\b=2k+3=21647\\c=2k+5=21649\\d=2k+7=21651[/tex]
Cele 4 numere consecutive impare sunt: 21645, 21647, 2164, 2165.