Let $$a_{n} = 1 1 1 1 1 1 1..... 1$$, where 1 occurs n number of times. Then, i. $$a_{741}$$ is not a prime. i

Question

Let $$a_{n} = 1 1 1 1 1 1 1..... 1$$, where 1 occurs n number of times. Then, i. $$a_{741}$$ is not a prime. ii. $$a_{534}$$ is not a prime. iii. $$a_{123}$$ is not a prime. iv. $$a_{77}$$ is not a prime.

Accepted Answer

All of them are correct.. i. a 741 a_{741} a 741 ​ has 741 ones, it will be divisible by 3 ii. a 534 a_{534} a 534 ​ has 534 ones, it will be divisible by 3 iii. a 123 a_{123} a 123 ​ has 123 ones, it will be divisible by 3 iv. a 77 a_{77} a 77 ​ has 77 ones and each pair of 11 ones is divisible by 13. Therefore, i,ii,iii an

Let $a_{n} = 1 1 1 1 1 1 1..... 1$ , where 1 occurs n number of times. Then,
i. $a_{741}$ is not a prime.
ii. $a_{534}$ is not a prime.
iii. $a_{123}$ is not a prime.
iv. $a_{77}$ is not a prime.

Let $a_{n} = 1 1 1 1 1 1 1..... 1$ , where 1 occurs n number of times. Then,
i. $a_{741}$ is not a prime.
ii. $a_{534}$ is not a prime.
iii. $a_{123}$ is not a prime.
iv. $a_{77}$ is not a prime.

Let an=1111111.....1a_{n} = 1 1 1 1 1 1 1..... 1an​=1111111.....1, where 1 occurs n number of times. Then, i. a741a_{741}a741​ is not a prime.ii. a534a_{534}a534​ is not a prime.iii. a123a_{123}a123​ is not a prime.iv. a77a_{77}a77​ is not a prime.

Let an=1111111.....1a_{n} = 1 1 1 1 1 1 1..... 1an​=1111111.....1, where 1 occurs n number of times. Then, i. a741a_{741}a741​ is not a prime.ii. a534a_{534}a534​ is not a prime.iii. a123a_{123}a123​ is not a prime.iv. a77a_{77}a77​ is not a prime.

Let $a_{n} = 1 1 1 1 1 1 1..... 1$ , where 1 occurs n number of times. Then,
i. $a_{741}$ is not a prime.
ii. $a_{534}$ is not a prime.
iii. $a_{123}$ is not a prime.
iv. $a_{77}$ is not a prime.

Let $a_{n} = 1 1 1 1 1 1 1..... 1$ , where 1 occurs n number of times. Then,
i. $a_{741}$ is not a prime.
ii. $a_{534}$ is not a prime.
iii. $a_{123}$ is not a prime.
iv. $a_{77}$ is not a prime.