idea of number theory

Prime Number Theorem (PNT) – A Short Note Introduction The Prime Number Theorem (PNT) describes the asymptotic distribution of prime numbers among natural numbers. It states that the number of primes less than a given number nn is approximately nln⁡(n)\frac{n}{\ln(n)}. This result provides a deep insight into how primes are distributed across large numbers. Statement…

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discovery of Bacteriophage

Early Discovery and History Bacteriophages, commonly known as phages, are viruses that specifically infect and destroy bacteria. Their discovery dates back to the late 19th and early 20th centuries. In 1896, British bacteriologist Ernest Hanbury Hankin noticed an antibacterial agent in the waters of the Ganges and Yamuna rivers that could eliminate Vibrio cholerae. This…

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