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sauravshakya Group Title

t(1)=2 t(2)=3 t(3)=t(1)*t(2)+1 t(4)=t(1)*t(2)*t(3)+1 . . . t(n)=t(1)*t(2)*t(3)*...*t(n-1)+1 PROVE or DISPROVE that t(n) will surely be PRIME

  • 2 years ago
  • 2 years ago

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  1. TuringTest Group Title
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    This sounds like a very hard problem.

    • 2 years ago
  2. estudier Group Title
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    Maybe not....

    • 2 years ago
  3. sauravshakya Group Title
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    I dont know..... But I think it will not be surely prime.

    • 2 years ago
  4. estudier Group Title
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    If not, we just need a counterexample.

    • 2 years ago
  5. TuringTest Group Title
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    I doubt it is all primes as well.

    • 2 years ago
  6. UnkleRhaukus Group Title
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    remainder is gonna be one

    • 2 years ago
  7. klimenkov Group Title
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    Looks like an Euclid proof of the infinite number of prime numbers.

    • 2 years ago
  8. estudier Group Title
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    Euclid never said there was an infinity of primes (didn't believe in infinity)

    • 2 years ago
  9. swissgirl Group Title
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    t(5)=2*3*7*43+1=1807 1807/13=139

    • 2 years ago
  10. estudier Group Title
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    Euclid said that you could always construct another one out of a supposedly complete list.

    • 2 years ago
  11. UnkleRhaukus Group Title
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    that dosent make sense

    • 2 years ago
  12. klimenkov Group Title
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    There are infinitely many primes, as demonstrated by Euclid around 300 BC. http://en.wikipedia.org/wiki/Prime_number

    • 2 years ago
  13. estudier Group Title
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    True but he never said anything about infinity (Greeks weren't too keen on that idea)

    • 2 years ago
  14. klimenkov Group Title
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    You deepened into the history. But I spoke about the method.

    • 2 years ago
  15. estudier Group Title
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    The method, I agree, is very like the question.....

    • 2 years ago
  16. estudier Group Title
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    P_n = p1p2p3....+1

    • 2 years ago
  17. UnkleRhaukus Group Title
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    • 2 years ago
  18. estudier Group Title
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    The "infinitely many" part got added later.....

    • 2 years ago
  19. estudier Group Title
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    Personally, I like "you can always get another one" better....

    • 2 years ago
  20. estudier Group Title
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    "Construct another one"

    • 2 years ago
  21. UnkleRhaukus Group Title
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    do you mean induction

    • 2 years ago
  22. estudier Group Title
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    No, it is an explicit construction...

    • 2 years ago
  23. estudier Group Title
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    You give me a list of primes and say "That's all there are" And I give you another one not in the list...

    • 2 years ago
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