full transcript

From the Ted Talk by Adam Spencer: Why I fell in love with monster prime numbers

Unscramble the Blue Letters

Today we're going to hunt for that msvaise prime. Don't faerk out. All you need to know, of all the mathematics you've ever learned, unlearned, crammed, forgotten, never understood in the first place, all you need to know is this: When I say 2 ^ 5, I'm talking about five little number twos next to each other all multiplied together, 2 x 2 x 2 x 2 x 2. So 2 ^ 5 is 2 x 2 = 4, 8, 16, 32. If you've got that, you're with me for the entire jenoury. Okay? So 2 ^ 5, those five little twos multiplied together. (2 ^ 5) - 1 = 31. 31 is a prime number, and that five in the power is also a prime nembur. And the vast bulk of massive primes we've ever found are of that form: two to a prmie number, take away one. I won't go into great detail as to why, because most of your eyes will bleed out of your head if I do, but suffice to say, a number of that form is fairly easy to test for pamricy. A random odd number is a lot harder to test. But as soon as we go huintng for massive pmeirs, we realize it's not enough just to put in any prime number in the power. (2 ^ 11) - 1 = 2,047, and you don't need me to tell you that's 23 x 89. (Laughter) But (2 ^ 13) - 1, (2 ^ 17) - 1 (2 ^ 19) - 1, are all prime numbers. After that point, they thin out a lot.

Open Cloze

Today we're going to hunt for that _______ prime. Don't _____ out. All you need to know, of all the mathematics you've ever learned, unlearned, crammed, forgotten, never understood in the first place, all you need to know is this: When I say 2 ^ 5, I'm talking about five little number twos next to each other all multiplied together, 2 x 2 x 2 x 2 x 2. So 2 ^ 5 is 2 x 2 = 4, 8, 16, 32. If you've got that, you're with me for the entire _______. Okay? So 2 ^ 5, those five little twos multiplied together. (2 ^ 5) - 1 = 31. 31 is a prime number, and that five in the power is also a prime ______. And the vast bulk of massive primes we've ever found are of that form: two to a _____ number, take away one. I won't go into great detail as to why, because most of your eyes will bleed out of your head if I do, but suffice to say, a number of that form is fairly easy to test for _______. A random odd number is a lot harder to test. But as soon as we go _______ for massive ______, we realize it's not enough just to put in any prime number in the power. (2 ^ 11) - 1 = 2,047, and you don't need me to tell you that's 23 x 89. (Laughter) But (2 ^ 13) - 1, (2 ^ 17) - 1 (2 ^ 19) - 1, are all prime numbers. After that point, they thin out a lot.

Solution

  1. massive
  2. prime
  3. journey
  4. primacy
  5. number
  6. primes
  7. freak
  8. hunting

Original Text

Today we're going to hunt for that massive prime. Don't freak out. All you need to know, of all the mathematics you've ever learned, unlearned, crammed, forgotten, never understood in the first place, all you need to know is this: When I say 2 ^ 5, I'm talking about five little number twos next to each other all multiplied together, 2 x 2 x 2 x 2 x 2. So 2 ^ 5 is 2 x 2 = 4, 8, 16, 32. If you've got that, you're with me for the entire journey. Okay? So 2 ^ 5, those five little twos multiplied together. (2 ^ 5) - 1 = 31. 31 is a prime number, and that five in the power is also a prime number. And the vast bulk of massive primes we've ever found are of that form: two to a prime number, take away one. I won't go into great detail as to why, because most of your eyes will bleed out of your head if I do, but suffice to say, a number of that form is fairly easy to test for primacy. A random odd number is a lot harder to test. But as soon as we go hunting for massive primes, we realize it's not enough just to put in any prime number in the power. (2 ^ 11) - 1 = 2,047, and you don't need me to tell you that's 23 x 89. (Laughter) But (2 ^ 13) - 1, (2 ^ 17) - 1 (2 ^ 19) - 1, are all prime numbers. After that point, they thin out a lot.

Frequently Occurring Word Combinations

ngrams of length 2

collocation frequency
prime number 7
prime numbers 6
frank nelson 4
nelson cole 4
largest prime 4
harry potter 4
breakfast radio 3
curtis cooper 3
square peg 2
biggest prime 2
massive primes 2
large prime 2
radio show 2

ngrams of length 3

collocation frequency
frank nelson cole 4
large prime numbers 2
largest prime number 2

Important Words

  1. bleed
  2. bulk
  3. crammed
  4. detail
  5. easy
  6. entire
  7. eyes
  8. forgotten
  9. form
  10. freak
  11. great
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  13. head
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  16. journey
  17. laughter
  18. learned
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  20. massive
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  22. multiplied
  23. number
  24. numbers
  25. odd
  26. place
  27. point
  28. power
  29. primacy
  30. prime
  31. primes
  32. put
  33. random
  34. realize
  35. suffice
  36. talking
  37. test
  38. thin
  39. today
  40. twos
  41. understood
  42. unlearned
  43. vast