Cho P = 1 + 1/2(1+2) + 1/3(1+2+3) + ......+ 1/2021 (1 + 2 +.....+2021). Chứng minh rằng P > 10^6

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1. Cho \( P = 1 + \frac{1}{2}(1+2) + \frac{1}{3}(1+2+3) + \ldots + \frac{1}{2021}(1+2+\ldots+2021) \). Chứng minh rằng \( P > 10^6 \).