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 perfect numbers by 1588.[1] His discovery of the 6th, that corresponding to p=17 in the formula Mp=2p-1, exploded a many-times repeated number-theoretical myth that the perfect numbers had units digits that invariably alternated between 6 and 8. (Until Cataldi, 19 authors going back to Nicomachus are reported to have made the claim, with a few more repeating this afterward, according to L.E.Dickson's History of the Theory of Numbers). Cataldi's discovery 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.[1] Although Cataldi incorrectly 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 primality through p=19.
^ abCaldwell, Chris. The largest known prime by year.
Pietro Antonio Cataldi (15 April 1548, Bologna – 11 February 1626, Bologna) was an Italian mathematician. A citizen of Bologna, he taught mathematics and...
composer PietroCataldi (1548–1626), Italian mathematician Renato Cataldi (1909–1981), Brazilian painter This page lists people with the surname Cataldi. If...
and politician Pietro Carnesecchi (1508–1567), Italian humanist Pietro Cascella (1921–2008), Italian painter and sculptor PietroCataldi (1548–1626), Italian...
Retrieved 13 October 2021. Cataldi, Pietro Antonio (1603). Trattato de' numeri perfetti di Pietro Antonio Cataldo [Pietro Antonio Cataldi's treatise on perfect...
writer, mystic and artist Pier Ferdinando Casini (born 1955), politician PietroCataldi (1548–1626), mathematician Chronics, rock band Pierluigi Collina (born...
discovered anonymously before 1461; the next two (M17 and M19) were found by PietroCataldi in 1588. After nearly two centuries, M31 was verified to be prime by...
1610) March 18 – Cornelis Ketel, Dutch painter (d. 1616) April 15 – PietroCataldi, Italian mathematician (d. 1626) May – Carel van Mander, Dutch painter...
contrast to his own x . {\displaystyle x.} A crossed numeral 1 was used by PietroCataldi for the first power of the unknown. The link between this convention...
continued fraction, and below is the algorithm of a later version given by PietroCataldi (1613). The method for finding n {\displaystyle {\sqrt {n}}} begins...
1610) March 18 – Cornelis Ketel, Dutch painter (d. 1616) April 15 – PietroCataldi, Italian mathematician (d. 1626) May – Carel van Mander, Dutch painter...
1461 by an unknown mathematician. In 1588, the Italian mathematician PietroCataldi identified the sixth (8,589,869,056) and the seventh (137,438,691,328)...
architect (d. 1519) 1469 – Guru Nanak, the first Sikh guru (d. 1539) 1552 – PietroCataldi, Italian mathematician and astronomer (d. 1626) 1563 – Guru Arjan Dev...
24 years later, in 1613, PietroCataldi introduced the first formal notation for the generalized continued fraction. Cataldi represented a continued fraction...
constellations. Acadia, the French colony in North America, is founded. PietroCataldi finds the sixth and seventh perfect numbers. Girolamo Fabrici studies...
and poet (died 1690) approx. date – Pietro Mengoli, Italian mathematician (died 1686) February 11 – PietroCataldi, Italian mathematician (born 1548) April...
and theologian (b. 1096) 1503 – Elizabeth of York (b. 1466) 1626 – PietroCataldi, Italian mathematician and astronomer (b. 1548) 1650 – René Descartes...
fractions 1613 PietroCataldi, Trattato del modo brevissimo di trovar la radice quadra delli numeri – first notation for continued fractions Cataldi represented...
1551) February 7 – William V, Duke of Bavaria (b. 1548) February 11 – PietroCataldi, Italian mathematician (b. 1552) February 20 – John Dowland, English...
first Chinese edition of Euclid's Elements Giordano Bruno (1548–1600) PietroCataldi (1548–1626), mathematician, discovered the sixth and seventh perfect...
1551) February 7 – William V, Duke of Bavaria (b. 1548) February 11 – PietroCataldi, Italian mathematician (b. 1552) February 20 – John Dowland, English...
Jean-Charles Vegliante, Stefano Dal Bianco, Massimo Raffaeli, Gianni D'Elia, PietroCataldi, Andrea Inglese, Davide Dalmas, Thomas Peterson, Giovanni La Guardia...
wyth the commune names that Herbaries and Apotecaries use April 15 – PietroCataldi, Italian mathematician (died 1626) Giordano Bruno, Italian Dominican...
Palazzo Grua, (18th century), now seat of the town administration Palazzo Cataldi, (18th century), now seat of the town library Palazzo Aumale, built in...
of Nicolaus Copernicus (died 1543) is completed by Bernardino Baldi. PietroCataldi discovers the sixth and seventh Mersenne primes by this year. Giovanni...
Letteratura italiana 4, vol. 4. Turin: Einaudi. Lupercini, Romano & Cataldi, Pietro & Marchiani, Lidia & Marchese, Franco. Il nuovo. La scrittura e l'interpretazione...
OCLC 15800652. Alighieri, Dante; Bosco, Umberto; Reggio, Giovanni; Cataldi, Pietro (1988). Inferno (in Italian). Firenze: Le Monnier. ISBN 978-88-00-41218-6...
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