The theory of numbers, by Robert D. Carmichael ...
ELEMENTARY PROPERTIES OF INTEGERS 29 about prime numbers which no one has been able to solve. Some of the simplest of these are the following: I. Is there an infinite number of pairs of primes differing by 2? 2. Is every even number (other than 2) the sum of two primes or the sum of a prime and the unit? 3. Is every even number the difference of two primes or the difference of I and a prime number? 4. To find a prime number greater than a given prime. 5. To find the prime number which follows a given prime. 6. To find the number of primes not greater than a given number. 7. To compute directly the nth prime number, when n is given.
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About this Item
- Title
- The theory of numbers, by Robert D. Carmichael ...
- Author
- Carmichael, Robert Daniel, 1879-
- Canvas
- Page 14
- Publication
- New York,: J. Wiley & sons, inc.; [etc., etc.]
- 1914.
- Subject terms
- Number theory.
Technical Details
- Link to this Item
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https://name.umdl.umich.edu/aam8546.0001.001
- Link to this scan
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https://quod.lib.umich.edu/u/umhistmath/aam8546.0001.001/36
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The University of Michigan Library provides access to these materials for educational and research purposes. These materials are in the public domain in the United States. If you have questions about the collection, please contact Historical Mathematics Digital Collection Help at [email protected]. If you have concerns about the inclusion of an item in this collection, please contact Library Information Technology at [email protected].
DPLA Rights Statement: No Copyright - United States
Related Links
IIIF
- Manifest
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https://quod.lib.umich.edu/cgi/t/text/api/manifest/umhistmath:aam8546.0001.001
Cite this Item
- Full citation
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"The theory of numbers, by Robert D. Carmichael ..." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/aam8546.0001.001. University of Michigan Library Digital Collections. Accessed May 18, 2025.