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  2. List of Mersenne primes and perfect numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_Mersenne_primes...

    So, 6 is a perfect number because the proper divisors of 6 are 1, 2, and 3, and 1 + 2 + 3 = 6. [2] [4] Euclid proved c. 300 BCE that every prime expressed as M p = 2 p − 1 has a corresponding perfect number M p × (M p +1)/2 = 2 p − 1 × (2 p − 1). For example, the Mersenne prime 2 2 − 1 = 3 leads to the corresponding perfect number 2 2 ...

  3. Perfect number - Wikipedia

    en.wikipedia.org/wiki/Perfect_number

    In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.

  4. List of Bluey episodes - Wikipedia

    en.wikipedia.org/wiki/List_of_Bluey_episodes

    Bandit takes Bluey, Bingo and Mackenzie to the creek after they grow tired of the local playground. Bluey struggles to appreciate the beauty of the natural world surrounding her, until they arrive at the water. Bluey learns to step out of her comfort zone and try new things.

  5. The Sign (Bluey) - Wikipedia

    en.wikipedia.org/wiki/The_Sign_(Bluey)

    Meanwhile, Bluey's little sister Bingo is unusually calm about the situation. At school, Bluey's class heard that Bluey was moving away, and all her classmates howled and hugged Bluey. Bluey's teacher Calypso calmed them down, and starts to read the class a pop-up book version of a Chinese folktale called "The Farmer". The tale concerns a ...

  6. Euclid–Euler theorem - Wikipedia

    en.wikipedia.org/wiki/Euclid–Euler_theorem

    A perfect number is a natural number that equals the sum of its proper divisors, the numbers that are less than it and divide it evenly (with remainder zero). For instance, the proper divisors of 6 are 1, 2, and 3, which sum to 6, so 6 is perfect. A Mersenne prime is a prime number of the form M p = 2 p − 1, one less than a power of two.

  7. Bluey (TV series) - Wikipedia

    en.wikipedia.org/wiki/Bluey_(TV_series)

    Bluey Heeler, the titular character, is a six-year-old (later seven-year-old) [1] Blue Heeler puppy who is curious and energetic. She lives with her archaeologist father, Bandit (voiced by David McCormack), her mother Chilli (voiced by Melanie Zanetti), who works part-time in airport security, and her four-year-old (later five-year-old) [2] sister, Bingo.

  8. List of Bluey books - Wikipedia

    en.wikipedia.org/wiki/List_of_Bluey_books

    Bluey: Little Library: Four board books (Bluey, Bingo, Chilli and Bandit) 2 August 2022: 48: ISBN 978-0-143-77891-2 [57] [note 2] 5: 12 Days of Christmas: Christmas themed: Tabbed board book: 1 November 2022: 24: ISBN 978-1-761-04791-6 [58] 6: Bluey and Friends: Little Library: Four board books (Snickers and Coco, Honey and Chloe, Lucky and ...

  9. Polite number - Wikipedia

    en.wikipedia.org/wiki/Polite_number

    In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer which is not polite is called impolite. [1] [2] The impolite numbers are exactly the powers of two, and the polite numbers are the natural numbers that are not powers of two.

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