1. [mathematical problems] mathematical problems concerning prime numbers and composite numbers (4) 1 and 0 are arranged alternately to form the following series of numbers 1011010101101010101... Please answer, how many prime numbers are there in this series? And prove your conclusion and say why Please write the answer and why Please don't copy The ellipsis means there are more, for example 101，10101，1010101，101010101，10101010101，101010101010·····

The above answer is wrong. The third number 1010101 = 101 + 1010000 = 101 * (1 + 10000) is a composite number. The fifth number 10101010101 = 101 + 1010000 + 10100000000 can be divided by 101. Similarly, the odd number items are composite except for the first one. I haven't figured out the even number items. I have verified the second and the second

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1. On the mathematical problems of prime numbers and composite numbers 2、 Fill in the appropriate prime number 14=（）+（） 12=（）+（） 24=（）+（） 20=（）+（） 8=（）+（） 10=（）+（） 30=（）+（） 26=（）+（） 34=（）+（）
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6. The least common multiple of three different prime numbers is 273. Which three numbers are they
7. Prime numbers within 20 are multiples within 100
8. What do prime numbers mean in mathematics? Which numbers do they refer to?
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