Which of the following are prime: 1337 11337 21337 31337 41337 51337 61337 71337 81337 91337. Will give metal and become fan.

Question

Which of the following are prime: 1337 11337 21337 31337 41337 51337 61337 71337 81337 91337.  Will give metal and become fan.

whpalmer4 · Answer

$$\begin{array}{cc}
Number & Factors \
 1337 & \{\{7,1\},\{191,1\}\} \
 2337 & \{\{3,1\},\{19,1\},\{41,1\}\} \
 3337 & \{\{47,1\},\{71,1\}\} \
 4337 & \{\{4337,1\}\} \
 5337 & \{\{3,2\},\{593,1\}\} \
 6337 & \{\{6337,1\}\} \
 7337 & \{\{11,1\},\{23,1\},\{29,1\}\} \
 8337 & \{\{3,1\},\{7,1\},\{397,1\}\} \
 9337 & \{\{9337,1\}\} \
 10337 & \{\{10337,1\}\} \
\end{array}$$

The second number in each group in the factors is the power of that factor.  $$5337 = 3^2*593^1$$