So the sum of numbers from 1 to N is (N/2)*(N+1), where N/2 are the number of pairs and N+1 is sum of each pair. Phi also has interesting equivalent ratios when the number one is introduced, like φ:1 is equal to φ+1:φ, or 1:φ-1. The paradox states that every natural number is interesting. Using Real Numbers there is no solution, but now we can solve it! Prime numbers are considered the "building blocks" of the natural numbers because every single natural number, excluding the number 1, is either a prime number or a product of prime numbers. The Fibonacci numbers are the sequence of numbers F n defined by the following recurrence relation: This Fibonacci numbers generator is used to generate first n (up to 201) Fibonacci numbers. Jack Hartmann's 1-30 and 30-1 video teaches the skill of counting forward and backwards from 1 to 30 and 30 to 1. Related fascinating information can be found here. You can keep doing this forever and never find the end of the prime number list. https://listverse.com/2017/12/30/top-10-numbers-with-very-interesting-histories Subtract 1 from both sides: x 2 = −1 . Ants and Transcendental Numbers Imagine a race of talking ants. About List of Fibonacci Numbers . This the famous formula for n th triangular number." The first ant in the long parade of ants screams out the first digit, "3". The interesting number paradox is a semi-humorous paradox which arises from the attempt to classify every natural number as either "interesting" or "uninteresting". … Imaginary numbers can help us solve some equations: Example: Solve x 2 + 1 = 0. The ants can compress the infinite digits of pi in an interesting way. One more interesting thing about prime numbers. For example, let us imagine that the ants can speak by manipulating their crude jaws. (H/t this compiled list at Reddit) posted by Room 641-A at 7:42 PM on November 21, 2016 [ 3 favorites ] (270) 301-5797 - Here and There Along the Echo is a weird, sprawling phone tree with information about the fictional Echo River, part of the equally weird (and beautiful) magical realist computer game Kentucky Route Zero . Conjecture about Rare Numbers Interesting Observations----- Introduction. With the caveat that the survey was voluntary and self-selecting, a bit of fun rather than rigorously undertaken academic research, the data revealed fascinating patterns in favorite number … The numbers, which gives a perfect square on adding as well as subtracting its reverse are rare and hence termed as Rare Numbers[1][2]. Fibonacci number. Interesting! We used an imaginary number (5i) and ended up with a real solution (−25). A real solution ( −25 ) but now we can solve it example: solve 2! 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