Genius can't be cultivated, and it's hard to find. Generally speaking, geniuses can be roughly divided into two types. One is "quick thinking", and chess masters belong to this category; The other is "deep thinking", and Einstein is undoubtedly its representative. Either way, you must be a successful person to be known, and success depends more on non-intellectual factors. There are not many opportunities to establish original theories. Einstein is not necessarily Einstein, and Heisenberg is not necessarily Heisenberg in another era ... This is why cognitive psychology is generally not particularly interested in masters of science or chess champions. On the other hand, Lamanukin seems to be more difficult to classify. He often claims that the dream goddess Namakar inspired him to write down half a dozen exaggerated formulas when he woke up in the morning, which is obviously much more difficult than a fast calculator. Hardy believes that Lamanukin's superb skills (perhaps called "sense of numbers") can only be compared with those of Euler and jacoby in history. However, after Gauss, Riemann and Poincare, the era of advocating number sense gradually passed, and number sense was completely buried with the rise of structuralism in bourbaki in the 20th century. Therefore, Lamanukin should not arouse much interest of mathematicians at that time, but on the contrary, it is because his sense of number is unique compared with his predecessors. He didn't receive strict mathematical training, but he found 3000 ~ 4000 formulas independently. The letter to Hardy is obviously just the tip of the iceberg. Hardy carefully examined these formulas, which he began to accumulate when he was in India. They usually have incredible high power, multiple integrals, summation or continued fractions, just like "concise epigrams, which compress extremely rich mathematical truths between one line and two lines" (in Kanigher). Hardy estimated that about two thirds of them had been discovered by European mathematicians. He felt that an Indian single-handedly confronted the wisdom accumulated in Europe for a hundred years.