Summary
Highlights
Adam Spencer, a radio host and comedian, reveals his true identity as a mathematician. He shares a childhood anecdote from second grade where he corrected his teacher's aphorism about 'a square peg in a round hole' by using mathematical reasoning, demonstrating his early passion for numbers despite a punch from a classmate.
Spencer expresses his love for mathematics, calling numbers the 'musical notes' of the universe. He introduces prime numbers, explaining that they are not divisible by smaller chunks (factors) other than one and themselves. He highlights key facts about primes: one is not prime, there's an infinite number of them (proven by Euclid), and mathematicians continuously search for the largest known prime.
Spencer simplifies the concept of powers (e.g., 2^5 = 32) to explain the form of most massive primes: 2 to the power of a prime number, minus one (2^P - 1). These are called Mersenne primes and are easier to test for primality. He notes that while not every prime 'P' results in a Mersenne prime, many do, and historically, great mathematicians like Leonhard Euler discovered record-breaking primes of this form.
Spencer recounts the discovery of large primes like (2^127) - 1 in 1876. He then shares the dramatic story of Frank Nelson Cole, who, in 1903, silently demonstrated the factors of (2^67) - 1, a number previously known not to be prime but whose factors were unknown. Cole's three years of dedicated work without a computer highlights the immense human effort involved in these discoveries.
With the advent of computers, the size of known prime numbers exploded. Spencer humorously reflects on his decision to pursue media over mathematics, acknowledging his role in telling the story of maths rather than being a top mathematician. He celebrates Dr. Curtis Cooper, who repeatedly held the record for the largest known prime number, describing the excitement of his most recent discovery as a 'megaprime'.
The current largest known prime, discovered by Curtis Cooper, is (2^57,885,161) - 1. Spencer illustrates its colossal size: almost 17.5 million digits long, equivalent to 22 MB as a text file, or as long as seven and a half Harry Potter novels. He jokingly mentions the impracticality of displaying it visually.
Spencer provides three reasons for the significance of these massive primes: 1) They are excellent for testing the speed and accuracy of computer chips due to the 'grunt' required for primality tests. 2) The distributed computing model used to find them mirrors efforts in DNA sequencing, SETI, and other scientific fields, highlighting the power of collective computing. 3) They metaphorically represent the collaboration between human minds and machines to conquer frontiers of knowledge.
Spencer uses examples like AI beating chess grandmasters and the CubeStormer II solving a Rubik's Cube in five seconds to demonstrate the power of human-machine collaboration. He cites the discovery of the Higgs boson, a highlight of 2012, as another profound example of human ingenuity combining with advanced technology, proving a theory once thought beyond reach. This pursuit of the unknown, whether in physics or prime numbers, embodies the 'essence of being human'.