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Difference between revisions of "Cullen number"
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*[http://mathworld.wolfram.com/CullenNumber.html Mathworld] | *[http://mathworld.wolfram.com/CullenNumber.html Mathworld] | ||
*[http://primes.utm.edu/glossary/xpage/Cullens.html The Prime Glossary] | *[http://primes.utm.edu/glossary/xpage/Cullens.html The Prime Glossary] | ||
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Revision as of 13:21, 6 March 2019
| Last update: 2019-02-27 |
A Cullen number Cn is a number of the form n × 2n + 1,
a generalized Cullen number base b is a number of the form n × bn + 1. (perhaps own page?)
Cullen primes
Cn is prime for n = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881 and for no other n < 17,200,000 (sequence A005849 in OEIS).
The largest known Cullen prime is 6,679,881 × 26,679,881 + 1 and the largest known generalized Cullen prime is 1,806,676 × 411,806,676 + 1.
Current status
See also
External links
- Top 20 Cullen Primes
- Top 20 Generalized Cullen Primes
- The Chronology of Prime Number Records
- Web archive "prothsearch.net"
- Generalized Cullen Search, Günter Löh (3 ≤ base ≤ 100), dated Sept. 2017
- Web archive "primzahlenarchiv.de", Daniel Hermle (101 ≤ base ≤ 200), dated 2007
- Generalized Cullen, Steven Harvey (101 ≤ base ≤ 10000), dated 2017
- Cullen number
- Mathworld
- The Prime Glossary
