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 2 years ago
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(n1)+1
PROVE or DISPROVE that t(n) will surely be PRIME
 2 years ago
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(n1)+1 PROVE or DISPROVE that t(n) will surely be PRIME

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TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0This sounds like a very hard problem.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.0I dont know..... But I think it will not be surely prime.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0If not, we just need a counterexample.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0I doubt it is all primes as well.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0remainder is gonna be one

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1Looks like an Euclid proof of the infinite number of prime numbers.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0Euclid never said there was an infinity of primes (didn't believe in infinity)

swissgirl
 2 years ago
Best ResponseYou've already chosen the best response.3t(5)=2*3*7*43+1=1807 1807/13=139

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0Euclid said that you could always construct another one out of a supposedly complete list.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0that dosent make sense

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1There are infinitely many primes, as demonstrated by Euclid around 300 BC. http://en.wikipedia.org/wiki/Prime_number

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0True but he never said anything about infinity (Greeks weren't too keen on that idea)

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.1You deepened into the history. But I spoke about the method.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0The method, I agree, is very like the question.....

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0The "infinitely many" part got added later.....

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0Personally, I like "you can always get another one" better....

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0"Construct another one"

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0do you mean induction

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0No, it is an explicit construction...

estudier
 2 years ago
Best ResponseYou've already chosen the best response.0You give me a list of primes and say "That's all there are" And I give you another one not in the list...
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