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Xevarion
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I'm pretty sure it's 0. See http://en.wikipedia.org/wiki/Prime_number_theorem#Approximations_for_the_nth_prime_number
Can This Conjecture Predict Prime Numbers?
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SUMMARY
The forum discussion centers on a conjecture regarding the prediction of prime numbers using two sets of primes, A* and B*, derived from the nth prime, p(n). The conjecture states that if q = abs(A +/- B) and q is less than [p(n+1)]^2, then q is either prime or 1. Additionally, it proposes that if q is prime, the largest prime factor in AB is the largest prime less than the square root of q. This conjecture has been validated for all primes up to 1369 (37^2).
PREREQUISITES- Understanding of prime numbers and their properties
- Familiarity with exponentiation and absolute values
- Knowledge of prime factorization
- Basic mathematical proof techniques
- Research the properties of prime numbers and their distributions
- Study mathematical conjectures related to prime generation
- Learn about the implications of the prime number theorem
- Explore computational methods for verifying prime conjectures
Mathematicians, number theorists, and anyone interested in prime number theory and conjectures related to prime generation.
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