How many positive integers less than 23 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4? Choose the correct choice from the following:
A) 17
B) 25
C) 24
D) 22
E) 20
8 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19}   2 odd multiples of 5: {5, 15}   9 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22}   Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is  8+1+9-1= 
<gadget id="calculator"> 8+1+9-1</gadget>
<output>17</output>
17.   17nswer: 17.
<result>A</result>
How many positive integers less than 23 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?