it is not easy to point to one specific problem. many problems are interesting.each one ,i guess, could offer an interesting one from his field of interest, for example.I find that The goldbach conjecture is one of the most interesting.since it has a very easy comprehended  and short formula, however unproved yet despite all attempts that contributed to the development of number theory.

Dear Dr. Otman Jaber ,

Yes, I agree with you. It is good that people in different fields and different periods have different interesting problems; we appreciate them, study them and discover our own academic value on them….

Sincerely,

Geng

“The most interesting Mathematics problem I have ever come across” is the following amazing fact:

2500 years ago, Zeno in his Achilles--Turtle Race Paradox told us that as a “running god” not matter how fast Achilles can run (even with the speed of modern jet plane) he really could not catch up with the Turtle-------now in our modern time, the newly discovered Harmonic Paradox strictly proves that we can get infinite items each bigger than 1/2, or 100, or 1000000 or 1000000000000000000000000000000, or,…from Un--->0 Harmonic Series by the “brackets-placing rule" with limit theory “ and change Un--->0 Harmonic Series into any infinite positive constants series with items each bigger than any positive constants.

“Achilles’ running in Zeno's Paradox 2500 years ago” equals to “the modern strict mathematical brackets-placing rule in Un--->0 Harmonic Series”.

It is funny and amazing that: on the one hand, the theory, the operation and the result of ” Achilles can not catch up with the Turtle” has been called “suspended Zeno’s Paradox”; on the other hand, the theory, the operation and the result of its modern version of “getting infinite items each bigger than 10000000000000000000000000, or 1000000000000000000000000000000, or,…from Un--->0 Harmonic Series by the brackets-placing rule with limit theory" has become an important basic stone in our mathematics.

Are we still living in Zeno's time in knowing “what infinite is” in our human science?

Cantor's anomaly

Dear Dr. H Chris Ransford， thank you.

Would you please make it clear what the exact Cantor's anomaly you mentioned about so we can understand better?

Sincerely,

Geng

I remember one of interesting problems from my first year of secondary school :

1   1   1 = 6

2   2   2 = 6

3   3   3 = 6

4   4   4 = 6

5   5   5 = 6

6   6   6 = 6

7   7   7 = 6

8   8   8 = 6

9   9   9 = 6

Use all the mathematical functions and operations to obtain accurate results (6)!

I remember, we almost all solve eight of nine: The main problem was 1   1   1 = 6.

Best regards,

Igor 

Mine was Linear Equation II in my undergraduate days in Computer Science.

Five of my published papers have been up loaded onto RG to answer such questions:

1，On the Quantitative Cognitions to “Infinite Things” (I)

https://www.researchgate.net/publication/295912318_On_the_Quantitative_Cognitions_to_Infinite_Things_I

2，On the Quantitative Cognitions to “Infinite Things” (II)

https://www.researchgate.net/publication/305537578_On_the_Quantitative_Cognitions_to_Infinite_Things_II

3，On the Quantitative Cognitions to “Infinite Things” (III)

https://www.researchgate.net/publication/313121403_On_the_Quantitative_Cognitions_to_Infinite_Things_III

4 On the Quantitative Cognitions to “Infinite Things” (IV)

https://www.researchgate.net/publication/319135528_On_the_Quantitative_Cognitions_to_Infinite_Things_IV

5 On the Quantitative Cognitions to “Infinite Things” (V)

https://www.researchgate.net/publication/323994921_On_the_Quantitative_Cognitions_to_Infinite_Things_V