Difference between revisions of "Mill's Constant"
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Mill's Constant is the smallest number in a prime number formula. | Mill's Constant is the smallest number in a prime number formula. | ||
| − | <math>\lfloor\theta^{3^n}\rfloor</math> is the prime number theorem where <math>n</math> can be any number and <math>\theta</math> is an element from an set of numbers (that may be rational or irrational, and we are not sure) and Mill's Constant is the smallest element in that set. Mill's constant is approximately <math>1. | + | <math>\lfloor\theta^{3^n}\rfloor</math> is the prime number theorem where <math>n</math> can be any number and <math>\theta</math> is an element from an set of numbers (that may be rational or irrational, and we are not sure) and Mill's Constant is the smallest element in that set. If the [[Riemann Hypothesis]] is true, Mill's constant is approximately <math>1.3063778838630806904686144926...</math> and the primes it generates start as <math>2, 11, 1361, 2521008887, 16022236204009818131831320183, </math> |
| + | <math>4113101149215104800030529537915953170486139623539759933135949994882770404074832568499, ... </math>. | ||
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Revision as of 18:05, 24 September 2016
Mill's Constant is the smallest number in a prime number formula.
is the prime number theorem where 
can be any number and 
is an element from an set of numbers (that may be rational or irrational, and we are not sure) and Mill's Constant is the smallest element in that set. If the Riemann Hypothesis is true, Mill's constant is approximately 
and the primes it generates start as 
.
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