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Graduate Are there any primes of the form 10^k + 1 above 101?
The exact wording of the question: "11 and 101 are prime numbers. a) Show that 1001 is not a prime number. b) Find the next smallest prime number of the form 100...01 and show that it is the next" I highly doubt it's intended to infringe on the subject of Generalised Fermat Numbers, so...- RobinElliott
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- Forum: Linear and Abstract Algebra
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Graduate Are there any primes of the form 10^k + 1 above 101?
"11 and 101 are primes, whereas 1001 is not (7*11*13). Find the next smallest prime of the form 100...01, and show that it is the next" I'm fairly sure that there no primes of the form 10^k + 1 above 101, but I can't seem to find a complete proof. Consider the general case of factorising...- RobinElliott
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- Form Primes
- Replies: 21
- Forum: Linear and Abstract Algebra