Auspicious Incident Packet 5

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Mind and Society
18.In 1976 Tijdeman proved that if this conjecture were proved to be false, there could only be a finite number of exceptions, and it was known that the exponents p and q were double Wieferich prime pairs, a fact which Mihailescu used in his purported proof submitted in April of 2002. Hyrro and Makowski had previously proved it for three consecutive numbers, and it can be represented as the Diophantine equation (x to the p minus y to the q is equal to plus or minus one). FTP, name this conjecture-cum-theorem which states that 8 and 9 are the only consecutive powers.

Answer: Catalan conjecture

19.Although explored by Vespucci and Magellan, this region was not settled by Europeans until the 19th century, when the general Julio Roca forcibly removed the native people, now known as Tehuelches. The recent eruption of the Hudson volcano caused a great deal of damage to the local fauna, which includes the guanaco and the rhea. Oil production has begun around the major cities of Rio Gallegos and Comodoro Rivadavia, although the major industry is still sheep raising. FTP, name this sparsely populated plateau east of the Andes, comprising Tierra del Fuego and the southern third of Argentina.


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