Quyidagilar matematikada hal qilinmagan 20 ta muhim muammolardir: 1. Riemann gipotezi 2. Birch va Swinnerton-Dyer taxminlari 3. Hodge taxminlari 4. P va NP 5. Yang-Mills mavjudligi va mass gap 6. Navier-Stokes tenglamasi 7. Neymanning uch o'lchamdagi muammosi uchun yechim mavjudligi 8. Bos sonlar uchun chegarali bo'shliqlar taxmini 9. Ikkinchi bos sonlar taxmini 10. Goldbach taxmini 11. Kollatz taxmini 12. Hadamard taxmini 13. Eulerning kuchlar yig'indisi haqidagi taxmini 14. Fermatning yuqori ko'rsatkichlar uchun so'nggi teoremasi 15. BaumConnes taxmini 16. Oppenheym taxmini 17. Kontinuum gipotezi 18. Novikov taxmini 19. Hirsch Schanuel taxmini 20. Shuni ta'kidlash kerakki,
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