<transcript><audio_0> mais um encontro e a proposta dessa aula é resolver esse problema, encontrar o resto na divisão de 2 elevado a 327 por 1463. A técnica para se resolver</transcript><video><caption><image_1>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt with white stripes on the sleeves and appears to be in a classroom or a classroom setting. The man is pointing to a question written on the chalkboard with his right hand. The text on the board reads "Quil o resto no divisão do 2,21 for 1460?". The text is written in Portuguese and translates to "What is the difference between 2 and 1660?". There is also a logo on the right side of the image.</caption><caption><image_2>The image shows a man standing in front of a green chalkboard. He is wearing a black t-shirt with white stripes on the sleeves and appears to be in a classroom or classroom setting. The man is looking up at the chalkboard with a serious expression on his face. On the left side of the image, there is a text written in Portuguese that reads "Quil o resto no divisio de 2ª for 1460?". On the right side, there are two numbers written in English.</caption></video><transcript><audio_3> o expoente, o 327, em valores menores. A gente pode fazer isso usando o pequeno teorema de Fermat, que nesse caso não se aplica, ou ainda, dividindo</transcript><transcript><audio_4> 1463 até que se encontre um bom resto para trabalhar que na verdade o bom resto para trabalhar é o o problema é que esse segundo método ele vai dar muito</transcript> we are back for another meeting and the purpose of this class is to solve this problem, find the remainder when dividing 2 to the power of 327 by 1463, the technique for solving problems like this is to break the exponent 327 into smaller values, we can do that  using Fermar's little theorem, which in this case does not apply, or even dividing the powers of 2 by 1463 until you find a good remainder to work on, which in fact the good remainder to work on is one. take
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