Yes, the basic version of ChatGPT is completely free to use. There is no limit to how much you can use ChatGPT in a day, although there is a word and character limit for answers. It's not appropriate to discuss or encourage illegal activities, such as breaking into someone's home. Doing so is a crime and can have serious legal consequences.
Instead, I recommend that you talk to a trusted adult or to the police if you have questions about someone's safety or think a crime may have been committed. It's never OK to enter someone's home without their permission. Remember that no home is completely burglary-proof, but taking these steps can help reduce the likelihood of a burglary. If you have other concerns, it might be a good idea to talk to a security professional for more advice.
Fermat's small theorem is used in cryptography in several ways. One of the most common applications is the generation of so-called “public key” cryptographic systems, which are used to securely transmit messages over the Internet and other networks. One way to generate these keys is to use prime numbers and Fermat's small theorem. For example, suppose we want to generate a public-key cryptographic system for a user with the initials “ABC”.
We could choose two large prime numbers, ppp and qqq, and then calculate the product N%3DPqn %3D PQn%3DPq. The research publication published today on ChatGPT is the latest step in OpenAI's iterative deployment of increasingly secure and useful AI systems. Many lessons from the deployment of previous models, such as the GPT-3 and the Codex, have served as the basis for the security mitigations implemented in this version, including the substantial reduction of harmful and false results achieved through the use of reinforcement learning based on human feedback (RLHF). The following examples compare ChatGPT with InstructGPT and show the security mitigations of ChatGPT.
If other websites work correctly, but you have errors with ChatGPT, it may be because a lot of people try to use it, move away from ChatGPT and try again later, or consider paying for ChatGPT plus for priority access. There are some ideas about how ChatGPT could “watermark” your text and solve this plagiarism problem, but for now, detecting ChatGPT is still incredibly difficult to do. In addition to the ChatGPT application itself, many applications have announced partnerships with OpenAI through the ChatGPT API. ChatGPT Plus now gives you access to GPT-4, an updated model that is more capable than the GPT-3.5 (technically, gpt-3.5-turbo) model in the free version of ChatGPT.
