Divisible by Itself and One: Kae Tempest

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As happens so often, my initial neat and tidy answer for why things are the way they are ended up being only part of the story. Thanks to my friend for asking the question and helping me learn more about the messy history of primality. Bobby : What it does, to create a secure code, you need two prime numbers, you multiply them together and that gives you a third number, and this is your encryption code. The article mentions but does not delve into some of the changes in mathematics that helped solidify the definition of prime and excluding 1. Specifically, one important change was the development of sets of numbers beyond the integers that behave somewhat like integers. So, imagine your encryption code was the number 15. Can you think of two prime numbers that multiply to make 15?

An engineer friend of mine recently surprised me by saying he wasn’t sure whether the number 1 was prime or not. I was surprised because among mathematicians, 1 is universally regarded as non-prime. My mathematical training taught me that the good reason for 1 not being considered prime is the fundamental theorem of arithmetic, which states that every number can be written as a product of primes in exactly one way. If 1 were prime, we would lose that uniqueness. We could write 2 as 1×2, or 1×1×2, or 1 594827×2. Excluding 1 from the primes smooths that out.I’ve been on tour for a long time. I’m looking forward to some writing time. I’ve got a new album that is in process, but it won’t be out for some time. I’ve got a novel I’m working on, and a couple more ideas. I’m cooking away. Hopefully I’ll have some exciting stuff for people to hear in the not too distant future. Many people will be reading this on the train or bus on their way to work. Can you add a bit of poetry to their mornings? Divisible by Itself and One is the powerful new collection from our foremost truth-teller Kae Tempest. Ruminative, wise, with a newer, more contemplative and metaphysical note running through, it is a book engaged with the big questions and the emotional states in which we live and create. Some of the poems experiment with form, some are free, and yet all are politically and morally conscious. Divisible by Itself and One is also a book about human form, the body as boundary and how we are read by the world.

Tempest uses words like a time traveller, taking the reader into fragments of their own lives, successes and heartbreaks.' - Stylist The number set above, which mathematicians might call Z[√-5] (pronounced "zee adjointhe square root of negative five" or "zed adjointhe square root of negative five, pip pip, cheerio" depending on what you like to call the last letter of the alphabet), has two units, 1 and -1. But there are similar number sets that have an infinite number of units. As sets like this became objects of study, it makes sense that the definitions of unit, irreducible, and prime would need to be carefully delineated. In particular, if there are number sets with an infinite number of units, it gets more difficult to figure out what we mean by unique factorization of numbers unless we clarify that units cannot be prime. While I am not a math historian or a number theorist and would love to read more about exactly how this process took place before speculating further, I think this is one development Caldwell and Xiong allude to that motivated the exclusion of 1 from the primes.They received Mercury Music Prize nominations for both of the albums Everybody Down and Let Them Eat Chaos, and two Ivor Novello nominations for their song-writing on The Book of Traps and Lessons. They were named a Next Generation Poet in 2014, a once-in-a-decade accolade. Tempest also received the Ted Hughes Award for their long-form narrative poem Brand New Ancients and the Leone D’Argento at the Venice Teatro Biennale for their work as a playwright. Test to insure the prime test code does not behave poorly or incorrectly with 1, 0 or any negative value. As an example, let’s look at the set of numbers of the form a+ b√-5, or a+i b√5, where a and b are both integers and i is the square root of -1. If you multiply the numbers 1+√-5 and 1-√-5, you get 6. Of course, you also get 6 if you multiply 2 and 3, which are in this set of numbers as well, with b=0. Each of the numbers 2, 3, 1+√-5, and 1-√-5 cannot be broken down further and written as the product of numbers that are not units. (If you don’t take my word for it, it’s not too difficult to convince yourself.) But the product (1+√-5)(1-√-5) is divisible by 2, and 2 does not divide either 1+√-5 or 1-√-5. (Once again, you can prove it to yourself if you don’t believe me.) So 2 is irreducible, but it is not prime. In this set of numbers, 6 can be factored into irreducible numbers in two different ways.