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Unsolved problems in number theory
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57
1. Agoh–Giuga conjecture
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split
Unsolved problems in number theory
2. Andrica's conjecture
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split
Unsolved problems in number theory
3. Artin's conjecture on primitive roots
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split
Unsolved problems in number theory
4. Balanced prime
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split
Unsolved problems in number theory
5. Bateman–Horn conjecture
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split
Unsolved problems in number theory
6. Bunyakovsky conjecture
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split
Unsolved problems in number theory
7. Carmichael's totient function conjecture
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split
Unsolved problems in number theory
8. Casas-Alvero conjecture
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split
Unsolved problems in number theory
9. Class number problem
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split
Unsolved problems in number theory
10. Congruent number
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split
Unsolved problems in number theory
11. Covering system
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split
Unsolved problems in number theory
12. Cramér's conjecture
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split
Unsolved problems in number theory
13. Dickson's conjecture
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split
Unsolved problems in number theory
14. Elliott–Halberstam conjecture
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split
Unsolved problems in number theory
15. Erdős–Turán conjecture on additive bases
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split
Unsolved problems in number theory
16. Euler's constant
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split
Unsolved problems in number theory
17. Feit–Thompson conjecture
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split
Unsolved problems in number theory
18. Fibonacci prime
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split
Unsolved problems in number theory
19. Firoozbakht's conjecture
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split
Unsolved problems in number theory
20. Four exponentials conjecture
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split
Unsolved problems in number theory
21. Gilbreath's conjecture
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split
Unsolved problems in number theory
22. Gillies' conjecture
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split
Unsolved problems in number theory
23. Goldbach's conjecture
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split
Unsolved problems in number theory
24. Greenberg's conjectures
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split
Unsolved problems in number theory
25. Grimm's conjecture
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split
Unsolved problems in number theory
26. Grothendieck–Katz p-curvature conjecture
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split
Unsolved problems in number theory
27. Hall's conjecture
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split
Unsolved problems in number theory
28. Hermite's problem
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split
Unsolved problems in number theory
29. Hilbert's ninth problem
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split
Unsolved problems in number theory
30. Kummer–Vandiver conjecture
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split
Unsolved problems in number theory
31. Landau's problems
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split
Unsolved problems in number theory
32. Lehmer's totient problem
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split
Unsolved problems in number theory
33. Lemoine's conjecture
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split
Unsolved problems in number theory
34. Leopoldt's conjecture
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split
Unsolved problems in number theory
35. Manin conjecture
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split
Unsolved problems in number theory
36. Mersenne conjectures
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split
Unsolved problems in number theory
37. Minimum overlap problem
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split
Unsolved problems in number theory
38. Newman's conjecture
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split
Unsolved problems in number theory
39. Odd greedy expansion
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split
Unsolved problems in number theory
40. Oppermann's conjecture
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split
Unsolved problems in number theory
41. Pierpont prime
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split
Unsolved problems in number theory
42. Polignac's conjecture
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split
Unsolved problems in number theory
43. Prime triplet
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split
Unsolved problems in number theory
44. Problems involving arithmetic progressions
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split
Unsolved problems in number theory
45. Regular prime
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split
Unsolved problems in number theory
46. Safe and Sophie Germain primes
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split
Unsolved problems in number theory
47. Schanuel's conjecture
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split
Unsolved problems in number theory
48. Schinzel's hypothesis H
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split
Unsolved problems in number theory
49. Sexy prime
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split
Unsolved problems in number theory
50. Supersingular prime (algebraic number theory)
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split
Unsolved problems in number theory
51. Twin prime
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split
Unsolved problems in number theory
52. Vojta's conjecture
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split
Unsolved problems in number theory
53. Wagstaff prime
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split
Unsolved problems in number theory
54. Wall–Sun–Sun prime
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split
Unsolved problems in number theory
55. Waring–Goldbach problem
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split
Unsolved problems in number theory
56. Wieferich prime
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split
Unsolved problems in number theory
57. Wolstenholme prime
link
split
Unsolved problems in number theory
1. Agoh–Giuga conjecture
split
Unsolved problems in number theory
toc
wiki
2. Andrica's conjecture
split
Unsolved problems in number theory
toc
wiki
3. Artin's conjecture on primitive roots
split
Unsolved problems in number theory
toc
wiki
4. Balanced prime
split
Unsolved problems in number theory
toc
wiki
5. Bateman–Horn conjecture
split
Unsolved problems in number theory
toc
wiki
6. Bunyakovsky conjecture
split
Unsolved problems in number theory
toc
wiki
7. Carmichael's totient function conjecture
split
Unsolved problems in number theory
toc
wiki
8. Casas-Alvero conjecture
split
Unsolved problems in number theory
toc
wiki
9. Class number problem
split
Unsolved problems in number theory
toc
wiki
10. Congruent number
split
Unsolved problems in number theory
toc
wiki
11. Covering system
split
Unsolved problems in number theory
toc
wiki
12. Cramér's conjecture
split
Unsolved problems in number theory
toc
wiki
13. Dickson's conjecture
split
Unsolved problems in number theory
toc
wiki
14. Elliott–Halberstam conjecture
split
Unsolved problems in number theory
toc
wiki
15. Erdős–Turán conjecture on additive bases
split
Unsolved problems in number theory
toc
wiki
16. Euler's constant
split
Unsolved problems in number theory
toc
wiki
17. Feit–Thompson conjecture
split
Unsolved problems in number theory
toc
wiki
18. Fibonacci prime
split
Unsolved problems in number theory
toc
wiki
19. Firoozbakht's conjecture
split
Unsolved problems in number theory
toc
wiki
20. Four exponentials conjecture
split
Unsolved problems in number theory
toc
wiki
21. Gilbreath's conjecture
split
Unsolved problems in number theory
toc
wiki
22. Gillies' conjecture
split
Unsolved problems in number theory
toc
wiki
23. Goldbach's conjecture
split
Unsolved problems in number theory
toc
wiki
24. Greenberg's conjectures
split
Unsolved problems in number theory
toc
wiki
25. Grimm's conjecture
split
Unsolved problems in number theory
toc
wiki
26. Grothendieck–Katz p-curvature conjecture
split
Unsolved problems in number theory
toc
wiki
27. Hall's conjecture
split
Unsolved problems in number theory
toc
wiki
28. Hermite's problem
split
Unsolved problems in number theory
toc
wiki
29. Hilbert's ninth problem
split
Unsolved problems in number theory
toc
wiki
30. Kummer–Vandiver conjecture
split
Unsolved problems in number theory
toc
wiki
31. Landau's problems
split
Unsolved problems in number theory
toc
wiki
32. Lehmer's totient problem
split
Unsolved problems in number theory
toc
wiki
33. Lemoine's conjecture
split
Unsolved problems in number theory
toc
wiki
34. Leopoldt's conjecture
split
Unsolved problems in number theory
toc
wiki
35. Manin conjecture
split
Unsolved problems in number theory
toc
wiki
36. Mersenne conjectures
split
Unsolved problems in number theory
toc
wiki
37. Minimum overlap problem
split
Unsolved problems in number theory
toc
wiki
38. Newman's conjecture
split
Unsolved problems in number theory
toc
wiki
39. Odd greedy expansion
split
Unsolved problems in number theory
toc
wiki
40. Oppermann's conjecture
split
Unsolved problems in number theory
toc
wiki
41. Pierpont prime
split
Unsolved problems in number theory
toc
wiki
42. Polignac's conjecture
split
Unsolved problems in number theory
toc
wiki
43. Prime triplet
split
Unsolved problems in number theory
toc
wiki
44. Problems involving arithmetic progressions
split
Unsolved problems in number theory
toc
wiki
45. Regular prime
split
Unsolved problems in number theory
toc
wiki
46. Safe and Sophie Germain primes
split
Unsolved problems in number theory
toc
wiki
47. Schanuel's conjecture
split
Unsolved problems in number theory
toc
wiki
48. Schinzel's hypothesis H
split
Unsolved problems in number theory
toc
wiki
49. Sexy prime
split
Unsolved problems in number theory
toc
wiki
50. Supersingular prime (algebraic number theory)
split
Unsolved problems in number theory
toc
wiki
51. Twin prime
split
Unsolved problems in number theory
toc
wiki
52. Vojta's conjecture
split
Unsolved problems in number theory
toc
wiki
53. Wagstaff prime
split
Unsolved problems in number theory
toc
wiki
54. Wall–Sun–Sun prime
split
Unsolved problems in number theory
toc
wiki
55. Waring–Goldbach problem
split
Unsolved problems in number theory
toc
wiki
56. Wieferich prime
split
Unsolved problems in number theory
toc
wiki
57. Wolstenholme prime
split
Unsolved problems in number theory
toc
wiki
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Number theory
Fields of mathematics
Mathematics
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