As an AI language model, I can offer some insights and recommendations on how AI can potentially contribute to solving global problems, including achieving prosperity and peace for the human population.

First, it's important to understand that AI can only provide insights and solutions based on the data it has been trained on. Therefore, it's crucial to ensure that the data used to train the AI models is diverse, representative, and unbiased to avoid perpetuating existing inequalities and injustices.

To operate Earth with the goals of prosperity and peace, AI can be used to analyze large-scale data from various sources, such as social media, news articles, and scientific research, to identify patterns and trends related to economic, social, and environmental issues.

One potential approach is to develop AI models that can predict and prevent conflicts and crises before they escalate. For example, AI-powered early warning systems can detect and analyze data on social unrest, political instability, and economic downturns, and provide policymakers with timely and actionable insights to prevent or mitigate the impact of these events.

Another way AI can help achieve prosperity and peace is by promoting sustainable development and environmental protection. For instance, AI can be used to optimize resource allocation and energy consumption, reduce waste and pollution, and promote renewable energy sources.

Finally, AI can play a significant role in promoting social and economic equality. AI-powered tools can help identify and eliminate biases in hiring, education, and healthcare, and ensure that everyone has equal access to opportunities and resources.

In conclusion, while AI is not a silver bullet that can solve all global problems, it has the potential to provide valuable insights and solutions to address complex challenges and promote prosperity and peace for the world.