The mathematician and astronomer Thabit ibn Qurra studied these numbers in search of a formula for amicable pairs. He found that when two consecutive Thabit numbers are also prime numbers (corresponding to indices and ) and is a prime number, too, then these numbers multiplied by will reveal an amicable pair. The only known to fit these criteria are 2, 4 and 7. The largest Thabit number known to be prime corresponds to index 2312734, its immediate lower neighbor is composite.
It is conjectured that the nimfactorial of a Thabit number is always 2.
|Date of creation||2013-03-22 15:52:58|
|Last modified on||2013-03-22 15:52:58|
|Last modified by||Mravinci (12996)|
|Synonym||Thabit ibn Kurra number|
|Synonym||Thabit ibn Kurrah number|
|Synonym||Thabit ibn Qurra number|
|Synonym||Thabit ibn Qurrah number|
|Synonym||Thabit bin Kurra number|
|Synonym||Thabit bin Kurrah number|
|Synonym||Thabit bin Qurra number|
|Synonym||Thabit bin Qurrah number|