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Elucidate the riemann hypothesis a famous conjecture in number theory through its implications for the distribution of the prime numbers 1 the riemann zeta function let c denote the complex numbers they form a two dimensional real vector space spanned by 1 and iwhere iis a xed square root of 1 that is. Prime numbers are beautiful mysterious and beguiling mathematical objects the mathematician bernhard riemann made a celebrated conjecture about primes in 1859 the so called riemann hypothesis which remains to be one of the most important unsolved problems in mathematics. Now that weve covered the necessary fundamental resources we can finally begin making the connection between prime numbers and the riemann hypothesis german mathematician bernhard riemann was . Riemann hypothesis in number theory hypothesis by german mathematician bernhard riemann concerning the location of solutions to the riemann zeta function which is connected to the prime number theorem and has important implications for the distribution of prime numbersriemann included the hypothesis in a paper ueber die anzahl der primzahlen unter einer gegebenen grsse on the