#求10万内的所有素数(9592)

print(2)

count = 1

for i in range(3,100000):

for j in range(2,i): if i%j ==0: break if j==i-1: print(i)

优化:

count = 1

for i in range(3,100000,2):#跳过所有偶数

for j in range(2,i): if i%j ==0: break if j==i-1: count +=1

print(count)

再优化:

count = 1

for i in range(3,100000,2):

for j in range(2,int(i**0.5)+1):#便利到i的开平方 if i%j ==0: breakelse: count +=1

print(count)

再再优化:

#由于数学成绩有限,方法来自网上

count = 2 #大于等于5的素数一定和6的倍数相邻,所以2、3不在循环内统计,

n = 100000

for num in range(4,n):

if num%6 != 1 and num%6 !=5: continueelse: snum = int(num**0.5+1) for i in range(5,snum): if not num%i: break else: count +=1

print(count)

再再再优化:

#求10万内的所有素数

count = 2 #大于等于5的素数一定和6的倍数相邻,所以2、3不在循环内统计,

n = 100000

for num in range(4,n):

if num%6 != 1 and num%6 !=5: continueelse: snum = int(num**0.5+1) for i in range(5,snum,2): if not num%i: break else: count +=1

print(count)