Author motto: Hilbert enthusiastically support Cantor's set theory and the infinite number. His leadership in mathematics fully reflected in: 1900, 2nd International Congress of Mathematicians in Paris, 38-year-old David Hilbert made a presentation entitled "math problem" the famous speech, proposed 23 issues facing the new century. This 23 question relates to the most important areas of modern mathematics, the famous Goldbach conjecture is part of the eight problems. Research on these issues, a strong impetus to the development of the various branches of mathematics in the 20th century.