View Poll Results: Can negative numbers be prime ?
Yes 2 18.18%
No 9 81.82%
Voters: 11. You may not vote on this poll
0
shabbir's Avatar, Join Date: Jul 2004
Go4Expert Founder
Quote:
Originally Posted by mayjune View Post
well it still is a debatable topic ...so i don't think 6 votes can decide that...
i think it should be no win, let him decide...
Thats why I shifted the discussion here and I guess we can have winner despite voting responses.
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Raj08's Avatar
Banned
so now does this means NO wins ?
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SaswatPadhi's Avatar, Join Date: May 2009
~ Б0ЯИ Τ0 С0δЭ ~
Quote:
Originally Posted by Raj08 View Post
so now does this means NO wins ?
No, that means Kshiteej wins !
Check this : http://www.go4expert.com/showpost.ph...4&postcount=10
Saket like this
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Saket's Avatar
Banned
Ohh, congrs to kshiteej. thanks saswatpadhi for your answer.
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xpi0t0s's Avatar, Join Date: Aug 2004
Mentor
This is just about definitions so the only possible answer can be "no". For a "Yes" answer the definitions must be changed.

http://en.wikipedia.org/wiki/Prime_number states "a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself"

and http://en.wikipedia.org/wiki/Natural_number states "there are two conventions for the set of natural numbers: it is either the set of positive integers {1, 2, 3, ...} according to the traditional definition or the set of non-negative integers {0, 1, 2, ...}" - so this excludes all negative numbers from the definition of a prime.

and http://en.wikipedia.org/wiki/Divisor states "a divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder."

Also if primes are redefined to include x<0, why is that of any interest? If x is prime then -x is also prime, so adding -2, -3, -5, -7 etc to the list adds no new information. Or you end up with no prime numbers at all, if for example -5 is divisible by -5, -1, 1 and 5, so every prime number by the current definition is not prime because any number x is divisible by +x, -x, +1 and -1. Or you extend the definition to say "exactly four distinct divisors: +/- 1 and +/- itself", in which case you're back to a set of primes where +x and -x are both prime or both not prime and so it has no benefit over the positive numbers only definition as is currently the case.
mayjune like this
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c_user's Avatar, Join Date: Aug 2009
Contributor
no negative no. cannot be prime... i agree with shabir's points.
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SaswatPadhi's Avatar, Join Date: May 2009
~ Б0ЯИ Τ0 С0δЭ ~
Wow, this thread is still alive and kicking !!

But, I request all members to give a justification for their vote, without which it's meaningless.
If you agree with someone's views like xpi0t0s, mayjune or shabbir (all of them have almost similar reasons, though ); just mention their name .. no need to write the same justification again