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2. Fibonacci sequence - Wikipedia

   en.wikipedia.org/wiki/Fibonacci_sequence

   In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci ...

3. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

   en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

   The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

4. List of prime numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_prime_numbers

   Download QR code; Wikidata item; Print/export ... Primes in the Lucas number sequence L 0 = 2, L 1 = 1 ... All prime numbers from 37 to 133,916,180,167,633 for free ...

5. List of integer sequences - Wikipedia

   en.wikipedia.org/wiki/List_of_integer_sequences

   Name First elements Short description OEIS Mersenne prime exponents : 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, ... Primes p such that 2 p − 1 is prime.: A000043 ...

6. 1 − 2 + 3 − 4 + ⋯ - Wikipedia

   en.wikipedia.org/wiki/1_%E2%88%92_2_%2B_3_%E2%88...

   The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.

7. Shoe size - Wikipedia

   en.wikipedia.org/wiki/Shoe_size

   The recent formula used by the Brannock device assumes a foot length of 2 barleycorns less than the length of the last; thus, men's size 1 is equivalent to a last's length of 8 + 1 ⁄ 3 in (21.17 cm) and foot's length of 7 + 2 ⁄ 3 in (19.47 cm), and children's size 1 is equivalent to 4 + 1 ⁄ 4 in (10.8 cm) last's length and 3 + 7 ⁄ 12 in ...