Hadamard-Vallée Poussin Constants
N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.
The sum of Reciprocals of Primes diverges, but
 |  |  | |
 |  | (1) |
where
is the Prime Counting Function and 
is the Euler-Mascheroni Constant (Le Lionnais1983). Hardy and Wright (1985) show that, if 
is the number of distinct Prime factors of 
,then | (2) |
is the total number of Prime factors of , then | (3) |
 | |  | |
|  | (4) |
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/hdmrd/hdmrd.html Hardy, G. H. and Wright, E. M. An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Clarendon Press, 1985. Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 24, 1983. Rosser, J. B. and Schoenfeld, L. ``Approximate Formulas for Some Functions of Prime Numbers.'' Ill. J. Math. 6, 64-94, 1962.
- Mikusinski's Problem
- Milin Conjecture
- Mill
- Miller-Askinuze Solid
- Miller Cylindrical Projection
- Miller's Algorithm
- Miller's Primality Test
- Miller's Solid
- Milliard
- Millin Series
- Million
- Mills' Constant
- Milne's Method
- Milnor's Conjecture
- Milnor's Theorem
- Minimal Cover
- Minimal Discriminant
- Minimal Matrix
- Minimal Residue
- Minimal Set
- Minimal Surface
- Minimax Approximation
- Minimax Polynomial
- Minimax Theorem
- Minimum