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Difference between revisions of "Twin prime"
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| − | Reference: [http://www.trnicely.net/twins/ | + | Reference: [https://web.archive.org/web/20160308090217/http://www.trnicely.net/twins/t2_0000.htm Counts of twin prime pairs and Brun's constant to 1e16] by Thomas R. Nicely. |
==List of twin primes== | ==List of twin primes== | ||
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| − | *[ | + | *[https://t5k.org/top20/page.php?id=1 Top 20 known twin primes] |
| − | *[[Wikipedia:Twin prime| | + | *[[Wikipedia:Twin prime|Twin prime]] |
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| + | [[Category:Twin prime]] | ||
Latest revision as of 02:01, 10 February 2025
A twin prime is a prime number that differs from another prime number by two, for example the twin prime pair (41, 43).
It is not known whether there exist infinitely many twin primes. But it is known that the sum of the reciprocals of all twin primes converges to Brun's constant (about 1.902160583104).
Count of twin prime pairs
| Up to | Number of pairs |
|---|---|
| 101 | 2 |
| 102 | 8 |
| 103 | 35 |
| 104 | 205 |
| 105 | 1224 |
| 106 | 8169 |
| 107 | 58980 |
| 108 | 440312 |
| 109 | 3424506 |
| 1010 | 27412679 |
| 1011 | 224376048 |
| 1012 | 1870585220 |
| 1013 | 15834664872 |
| 1014 | 135780321665 |
| 1015 | 1177209242304 |
Reference: Counts of twin prime pairs and Brun's constant to 1e16 by Thomas R. Nicely.
List of twin primes
The next table includes the lower members of the first 500 twin prime pairs. The other members are found by adding 2 to the primes shown below.
Table deleted, have to be created as upload later!
