all algebraic numbers in a sequence
The first number corresponds to the algebraic equation , the two following numbers to the equations , the six following to the equations , , , the twenty following to the equations , , , , .
In practice, one cannot continue the sequence very far since the higher degree equations – quintic and so on – are non-solvable by radicals (http://planetmath.org/NthRoot); instead we can list the equations satisfied by the numbers as far we want and tell how many roots (http://planetmath.org/Root) they have. In principle, the number sequence does exist!
|Title||all algebraic numbers in a sequence|
|Date of creation||2013-03-22 15:13:58|
|Last modified on||2013-03-22 15:13:58|
|Last modified by||pahio (2872)|
|Synonym||counting the algebraic numbers|