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Primes (again)

this is probably a naive question, but how does Mathematica give the result of 
Prime[k]? Since the numbers are not stored anywhere, and there is no 
algorithm to "compute" them, how does Mathematica produce them?

Thanks to everybody, especially to Dr Bob and Yehuda Ben-Shimol, for 
answering my previous questions.

Best regards,


George Szpiro
Neue Zürcher Zeitung (Switzerland)
POB 6278
Jerusalem 91060

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