Ernst Meissel [SEP] place of birth
Ernst Meissel
Daniel Friedrich Ernst Meissel (31 July 1826, Eberswalde, Brandenburg Province – 11 March 1895, Kiel) was a German astronomer who contributed to various aspects of number theory.
See also.
- Meissel–Mertens constant
square root of formula_6.
Algorithms for evaluating ("x") The Meissel–Lehmer algorithm.
In a series of articles published between 1870 and 1885, Ernst Meissel described (and used) a practical combinatorial way of evaluating formula_14. Let formula_28, formula_29 be the first formula_30 primes and denote by formula_31 the number of natural numbers not greater than formula_32 which are divisible by no formula_21. Then
Given a natural number formula_32, if formula_36 and if formula_37, then
Using this approach, Meissel computed formula_14, for formula_6