Question 1209349
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Find the number of bases n \ge 2$ such that 100_n + 1_n is prime.
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This problem, inadvertently, offers to solve a world class mathematical problem 
from Number theory  (of the  Fields prize level)  here,  passing by.


Perhaps, a great thinker is behind this post, who wishes that somebody will solve it for him soon . . . 




Bravo !   Plus an elementary proof of  Fermat's last theorem,  too.


So as not to get up twice.



To do this, we need to revive Euler, Dirichlet, Riemann and five more world class level mathematicians,

to provide them all conditions for work of the Google corporation level for 20 - 40 years,

with quantum super-computers and free food, publishing special journals/magazines 

and by holding annual conferences on the subject.


And, perhaps, establish contact with extraterrestrial civilizations in other galaxies.



. . . . . . . . . . . . 



In some countries, in collections of preparatory problems for high-level Math Olympiads, 
it is customary to print one or two unsolved mathematical problems - simply to inspire young readers.


Naturally, nobody of publishers does not expect that such problems will be solved,
but the tradition is the tradition.