Question

history/development of prime numbers pertaining to india and china

Answer 1

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Answer 2

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It is not clear when humans first pondered the mysteries of prime numbers. The Ishango bone suggests humans thought about prime numbers as long ago as twenty thousand years ago, because it includes a prime quadruplet, (11, 13, 17, 19). This could just be a coincidence as this also happens to be a partition of 60 into distinct odd numbers.
the ancient Greeks of about twenty-five hundred years ago often get the credit for being the first to study prime numbers for their own sake. Eratosthenes came up with the sieve of Eratosthenes, and Euclid proved many important basic facts about prime numbers which today we take for granted, such as that there are infinitely many primes. Euclid also proved the relationship between the Mersenne primes and the even perfect numbers.

With the Roman conquest of the Greeks, much of the written Greek knowledge was translated to Latin, or at least preserved. As the Greeks taught the Romans what they knew, they preserved Greek mathematical knowledge but made no further progress in the study of pure mathematics, such as prime numbers.

The Arab mathematicians of the Middle Ages studied the work of ancient Greek mathematicians but with the added advantage of a numerical system more amenable to computational work. Thabit ibn Qurra, for example, proved the relationship between consecutive prime Thabit numbers and amicable pairs.



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