#List of prime numbers in binary pdf

вЂњI was intrigued, so I asked a couple students of mine to see if they could prove it.вЂќ вЂњI really was just watching an episode of вЂThe Big Bang TheoryвЂ™ back in 2014 where Sheldon made his claim,вЂќ Spicer said. and in binary, 73 is a palindrome, 1001001, which backwards is 1001001.вЂќДЄfter the episode aired, Spicer, along with two Morningside College students, Jessie Byrnes and Alyssa Turnquist, published a 2015 article in Math Horizons, an undergraduate-focused journal, discussing the potential of creating a proof for CooperвЂ™s claims. Its mirror, 37, is the 12th, and its mirror, 21, is the product of multiplying seven and three. вЂњThe best number is 73,вЂќ Cooper explained in the episode.

Sheldon Cooper, one of the main characters on вЂњThe Big Bang Theory,вЂќ first expressed his affinity for the number 73 during the showвЂ™s 73rd episode, вЂњThe Alien Parasite Hypothesis,вЂќ which aired in 2010. The proof, which was featured on a whiteboard in the background of the show, reveals the uniqueness of the number 73. How this special number 73 was discovered?ДЄ proof co-authored by Dartmouth mathematics professor emeritus Carl Pomerance and Morningside College mathematics professor Chris Spicer appeared on an episode of the television series, вЂњThe Big Bang TheoryвЂќ on April 18.

#List of prime numbers in binary pdf

It actually holds a lot of mind-boggling facts.В Here is a downloadable PDF to explore more. What makes this number so special? 73 and why is it so special. The next important developments were made by Fermat at the beginning of the 17th Century. There is then a long gap in the history of prime numbers during what is usually called the Dark Ages. In about 200 BC the Greek Eratosthenes devised an algorithm for calculating primes called the Sieve of Eratosthenes. A natural number greater than 1 that is not prime is called a composite number.Дў, 3, 5, 7 and 11 are the first few prime numbers. But mid calculated as beg + (end-beg) = 1,000,000,001 + 999,999,999 = 2,000,000,000 which fits in the integer range.Reading time: 4 mins Introduction What are prime numbers?ДЄ prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. If mid is calculated as (low+high)/2, low+high = 3,000,000,001 which exceeds the range of int, resulting in overflow errors. If you are searching in an array of size 2,000,000,000 and the element searched for is located at index 1,999,999,999. Why is mid calculated as mid = beg + (end-beg)/2 ?

Return -1 if the element that we are looking for i.e N is not found in the array. Return Mid as the index of the found element N.ДЎ1. Binary Search ( Array, Search element N )Д¦. Left part of the array : Case 3 : If the middle element is smaller than the searched element, the right part of the array is searched using the same logic i.e binary search.

Case 2 : If the middle element is bigger than the searched element, the left part of the array is searched using the same logic i.e binary search. Thus we get the following cases, Case 1 : If the middle element equals the searched element, the position of the middle element is returned. It compares the middle element of the array with the searched element. Binary Search tries to find an element in a sorted array.