\nA Pythagorean triple is a set of three integers that satisfy<\/p>\n
a2<\/sup>+b2<\/sup>=c2<\/sup><\/p>\n There are infinite Pythagorean triples. However, there are no corresponding sets of integers for higher n:<\/p>\n an<\/sup>+bn<\/sup>≠cn<\/sup>, n>2 (Fermat’s Last Theorem)<\/p>\n \nFor instance, three integers such that<\/p>\n a3<\/sup>+b3<\/sup>=c3<\/sup><\/p>\n can’t be found.<\/p>\n Back in ’94 I took a Number Theory class: then, Fermat’s Last Theorem remained an unproven curiosity. Andrew Wiles may already have known how to prove it: apparently he secretly worked on the proof for seven years, revealing it in ’95.<\/p>\n I’ve always wondered what my Number Theory professor said when he next taught the class:)<\/p>\n Source:<\/p>\n quantamagazine.org<\/a><\/p>\nJack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n\n","protected":false},"excerpt":{"rendered":" Tutoring math, ideas are always important. The tutor mentions Fermat’s Last Theorem. A Pythagorean triple is a set of three integers that satisfy a2+b2=c2 There are infinite Pythagorean triples. However, there are no corresponding sets of integers for higher n: …<\/p>\n