Is 59,649,589,127,497,217 a prime no.?

  • Thread starter chhitiz
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In summary, the number 5606701775893 can be easily checked for primality using various online methods. However, the conversation reveals that the asker may not have done their own research before asking the question and may benefit from learning how to use Google. The number 59649 589127 497217 is also discussed, with its properties as a prime number and as a factor of 2^(2^n) +1. Ultimately, the conversation highlights the importance of taking the time to do one's own research before asking for help.
  • #1
chhitiz
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scratch that.
is 5606701775893 a prime number?
 
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  • #2
It can be easily checked using your browser and www sites. Took me less than 10 seconds.
 
  • #3
then why don't you tell me what you did find out you smug and condescending cheapo.
 
  • #4
chhitiz said:
then why don't you tell me what you did find out you smug and condescending cheapo.

In hope that you will spend five minutes of your valuable time googling and learning how to do it on your own next time.

http://lmgtfy.com/?q=on+line+factorization
 
  • #5
chhitiz said:
then why don't you tell me what you did find out you smug and condescending cheapo.

well, you are supposed to ask a question only if you have done your own research but could not find an answer. Now if you don't know about google, then I suggest you start right there and teach yourself how to use google. If you know about google, then I suggest you use it.

and criticizing the people who are trying to help you is a sure way not to get help the next time around. just my opinion as I am an opinionated person and therefore I have an opinion on just about anything.
 
  • #6
chhitiz said:
then why don't you tell me what you did find out you smug and condescending cheapo.

Maybe Borek's trying to get you to solve hard questions for yourself. It would be very unethical to tell you the answer right away...

And your reaction doesn't really motivate us to help you in the future...
 
  • #7
chhitiz said:
then why don't you tell me what you did find out you smug and condescending cheapo.

For someone who expects someone else to do your work for you, you're pretty brazen.
 
  • #8
chhitiz said:
scratch that.
is 5606701775893 a prime number?

Goggle "prime number checker" I did and got over 120,000 hits. Don't know which of them are capable of checking numbers as big as 10^17 + 1 though. Try them and see. I believe that the mosty active sites are posted first though.
 
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  • #9
And what happened with 59,649,589,127,497,217 ?
 
  • #10
Dodo said:
And what happened with 59,649,589,127,497,217 ?

See http://oeis.org/A050922 This came up in a goggle of the number. It is a prime factor of 2^(2^n) +1 for some n and thus a well known prime.
 
  • #11
Not for the benefit of the thread starter, but for any others: For all its failings, Wolfram Alpha had the answer in the time it took the page to refresh. The command, for those unawares, is...

factor 59,649,589,127,497,217
http://www3.wolframalpha.com

The pi function, unfortunately, was a complete failure for an integer this large.
 
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  • #12
what the hell?
i was only doing my best dr. house impression.
 
  • #13
Ok. :smile:
 
  • #14
chhitiz said:
what the hell?
i was only doing my best dr. house impression.

that only works for dr.house u wise *** :mad:
 
  • #15
IN: FactorInteger[5606701775893]
OUT: {12253, 1}, {13229, 1}, {34589, 1}}

I didn't check it.
 
  • #17
59649 589127 497217 is prime
Number of divisors: 2
Sum of divisors: 59649 589127 497218
Euler's Totient: 59649 589127 497216
Moebius: -1
Sum of squares: a^2 + b^2
a = 208 648999
b = 126 945596
and
5 606701 775893 = 12253 x 13229 x 34589
Number of divisors: 8
Sum of divisors: 5 607745 327800
Euler's Totient: 5 605658 344128
Moebius: -1
Sum of squares: a^2 + b^2
a = 2 218022
b = 828903

from Dario Alpern's great "Factorization using the Elliptical Curve Method" web page at
http://www.alpertron.com.ar/ECM.HTM
 
  • #18
For god's sake, chhitiz, what would you EVER gain by knowing whether or not that is a prime number? It's as if you typed in a random string of numbers into your keyboard.

Sukhdeep Sangra
 
  • #19
S.Sangra said:
For god's sake, chhitiz, what would you EVER gain by knowing whether or not that is a prime number? It's as if you typed in a random string of numbers into your keyboard. Sukhdeep Sangra
I don't think it is random because it is a well known prime factor of a number of the form 2^(2^n) +1 which can't be said about primes in general of that order.
 

FAQ: Is 59,649,589,127,497,217 a prime no.?

Is it possible to determine if 59,649,589,127,497,217 is a prime number?

Yes, it is possible to determine if a number is a prime number. There are various algorithms and mathematical tests that can be used to determine the primality of a number.

What is a prime number?

A prime number is a positive integer that is only divisible by 1 and itself. In other words, it has exactly two factors.

How do you test if a number is prime?

One method is to use the Trial Division method, where the number is divided by all possible factors up to its square root. If it has no factors other than 1 and itself, it is a prime number.

Is 59,649,589,127,497,217 divisible by any number other than 1 and itself?

I cannot answer that without performing the necessary calculations. However, given its large size, it is highly unlikely to have any other factors.

Are there any other methods to determine if a number is prime?

Yes, there are various other methods such as the Sieve of Eratosthenes, the Lucas-Lehmer test, and the AKS primality test. These methods are more efficient for larger numbers.

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