(1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+1/11+1/12+1/13+1/14+1/

(1/2+1/3+1/4+1/5+1/6+1/7+1/8)+(1/9+1/10+1/11+1/12)+(1/13+1/14+1/15)
=481/280+763/1980+587/2730
≈2.318228993
(1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+1/11+1/12+1/13+1/14+1/15)*4004
=(481/280+763/1980+587/2730)*4004
≈2.318228993*4004（小数第四位后面之后就不会影响整数部分了）
=9282.188888……
∴(1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10+1/11+1/12+1/13+1/14+1/15)*4004的整数部分是9282