Yes, 1001 is Carmichael number because it satisfies Fermat's little theorem for all integers a that are coprime to it, even though 1001 is not a prime number. This makes Carmichael numbers intriguing in number theory, as they exhibit prime-like behavior despite being composite. They are significant because they challenge primality testing algorithms, highlighting potential weaknesses in determining whether a number is prime.
Understanding the previous and next Carmichael Number helps in identifying numerical relationships and patterns. We explore both the preceding and succeeding values based on different property types. The previous Carmichael Number to 1001 is 998. It is the closest Carmichael Number smaller than 1001. The next Carmichael Number to 1001 is 1112. It is the nearest Carmichael Number larger than 1001. By understanding the previous and next values, we can recognize numerical progressions and sequences, making calculations and analysis easier.
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