Sum of Primes < n Formula - Pseudot's Research

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SUMMARY

The discussion centers on a formula proposed by Pseudot, which establishes that the sum of primes less than a number n, denoted as SumP(n), is approximately equal to Pi(n^2). This relationship highlights a significant correlation between prime numbers and their sums, suggesting a deeper mathematical connection. Pseudot encourages further exploration of this concept and has provided links to additional resources for verification and study.

PREREQUISITES
  • Understanding of prime numbers and their properties
  • Familiarity with the Prime Counting Function, Pi(n)
  • Basic knowledge of mathematical notation and approximations
  • Experience with mathematical research methodologies
NEXT STEPS
  • Research the Prime Counting Function, Pi(n), and its applications
  • Explore the relationship between prime numbers and their sums
  • Investigate existing formulas related to the sum of primes
  • Examine mathematical proofs supporting SumP(n) ~ Pi(n^2)
USEFUL FOR

Mathematicians, researchers in number theory, and anyone interested in the properties of prime numbers and their sums will benefit from this discussion.

pseudot
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Hi,

I have been searching the web for this subject to see if the formula I stumbled on
is out there. This site came up often, so I registered.

Working with tables of the known primes < n and sum of primes < n SumP(n), I was able to
determine that SumP(n) ~ Pi(n^2). See

http://groups.google.com/group/sumprimes/web/sum-of-primes-formulas

Comments are welcome.

Regards,
Pseudot
 
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