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- Pietro_Cataldi abstract "Pietro Antonio Cataldi (15 April 1548, Bologna – 11 February 1626, Bologna) was an Italian mathematician. A citizen of Bologna, he taught mathematics and astronomy and also worked on military problems. His work included the development of continued fractions and a method for their representation. He was one of many mathematicians who attempted to prove Euclid's fifth postulate. Cataldi discovered the sixth and seventh primes later to acquire the designation Mersenne primes by 1588. His discovery of the 6th, that corresponding to p=17 in the formula Mp=2p-1, exploded a many-times repeated number-theoretical myth (Until Cataldi, 19 authors going back to Nicomachus are reported to have made the claim in L.E.Dickson's History of the Theory of Numbers—with a few more repeating this afterward) that the perfect numbers had units digits that invariably alternated between 6 and 8; and that of the 7th (for p=19) held the record for the largest known prime for almost two centuries, until Leonhard Euler discovered that 231 - 1 was the eighth Mersenne prime. Although Cataldi also claimed that p=23, 29, 31 and 37 all also generate Mersenne primes (and perfect numbers), his text's clear demonstration shows that he had genuinely established the fact through p=19.".
- Pietro_Cataldi thumbnail Cataldi_-_Due_lettioni_date_nella_academia_erigenda_dove_si_mostra_come_si_trovi_la_grandezza_delle_superficie_rettilinee,_1613_-_87568.jpg?width=300.
- Pietro_Cataldi wikiPageExternalLink cataldi.html.
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- Pietro_Cataldi wikiPageRevisionID "703641419".
- Pietro_Cataldi wikiPageWikiLink 2147483647_(number).
- Pietro_Cataldi wikiPageWikiLink Astronomy.
- Pietro_Cataldi wikiPageWikiLink Bologna.
- Pietro_Cataldi wikiPageWikiLink Category:1548_births.
- Pietro_Cataldi wikiPageWikiLink Category:1626_deaths.
- Pietro_Cataldi wikiPageWikiLink Category:16th-century_Italian_mathematicians.
- Pietro_Cataldi wikiPageWikiLink Category:17th-century_Italian_mathematicians.
- Pietro_Cataldi wikiPageWikiLink Category:Italian_mathematicians.
- Pietro_Cataldi wikiPageWikiLink Continued_fraction.
- Pietro_Cataldi wikiPageWikiLink Euclid.
- Pietro_Cataldi wikiPageWikiLink History_of_the_Theory_of_Numbers.
- Pietro_Cataldi wikiPageWikiLink Italy.
- Pietro_Cataldi wikiPageWikiLink Largest_known_prime_number.
- Pietro_Cataldi wikiPageWikiLink Leonard_Eugene_Dickson.
- Pietro_Cataldi wikiPageWikiLink Leonhard_Euler.
- Pietro_Cataldi wikiPageWikiLink Mathematician.
- Pietro_Cataldi wikiPageWikiLink Mersenne_prime.
- Pietro_Cataldi wikiPageWikiLink Myth.
- Pietro_Cataldi wikiPageWikiLink Nicomachus.
- Pietro_Cataldi wikiPageWikiLink Number_theory.
- Pietro_Cataldi wikiPageWikiLink Numerical_digit.
- Pietro_Cataldi wikiPageWikiLink Parallel_postulate.
- Pietro_Cataldi wikiPageWikiLink Perfect_number.
- Pietro_Cataldi wikiPageWikiLink Prime_number.
- Pietro_Cataldi wikiPageWikiLink File:Cataldi_-_Due_lettioni_date_nella_academia_erigenda_dove_si_mostra_come_si_trovi_la_grandezza_delle_superficie_rettilinee,_1613_-_87568.jpg.
- Pietro_Cataldi wikiPageWikiLinkText "Cataldi".
- Pietro_Cataldi wikiPageWikiLinkText "Cataldi, Pietro".
- Pietro_Cataldi wikiPageWikiLinkText "Pietro Cataldi".
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- Pietro_Cataldi s "Pietro Antonio Cataldi".
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- Pietro_Cataldi wikiPageUsesTemplate Template:Authority_control.
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- Pietro_Cataldi wikiPageUsesTemplate Template:Sister_project_links.
- Pietro_Cataldi wikt "no".
- Pietro_Cataldi subject Category:1548_births.
- Pietro_Cataldi subject Category:1626_deaths.
- Pietro_Cataldi subject Category:16th-century_Italian_mathematicians.
- Pietro_Cataldi subject Category:17th-century_Italian_mathematicians.
- Pietro_Cataldi subject Category:Italian_mathematicians.
- Pietro_Cataldi hypernym Mathematician.
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- Pietro_Cataldi comment "Pietro Antonio Cataldi (15 April 1548, Bologna – 11 February 1626, Bologna) was an Italian mathematician. A citizen of Bologna, he taught mathematics and astronomy and also worked on military problems. His work included the development of continued fractions and a method for their representation. He was one of many mathematicians who attempted to prove Euclid's fifth postulate. Cataldi discovered the sixth and seventh primes later to acquire the designation Mersenne primes by 1588.".
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- Pietro_Cataldi depiction Cataldi_-_Due_lettioni_date_nella_academia_erigenda_dove_si_mostra_come_si_trovi_la_grandezza_delle_superficie_rettilinee,_1613_-_87568.jpg.
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