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Havingfun
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Posted on Thursday, June 28, 2012 - 12:19 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Simba:

Dude.. where did you get this equation from?




Not every 6n+/-1 is prime, but all twin primes fall under 6n+/-1...check this out...


http://en.wikipedia.org/wiki/Twin_prime
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Vjavasi
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Posted on Thursday, June 28, 2012 - 11:53 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

google cheyyi.. prime number 6n

oka link.. http://primes.utm.edu/notes/faq/six.html






i think logic is flawed....prime number doesn't mean only not divisible by 2 or 3......even if the remainder is 1 or 5, no guarantee it's a prime never... they can be divisible by prime numbers other than 2,3 like 7,13and so on
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Ranga
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Posted on Thursday, June 28, 2012 - 11:48 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

>> where did you get this equation from?


google cheyyi.. prime number 6n

oka link.. http://primes.utm.edu/notes/faq/six.html
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Jatayu
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Posted on Thursday, June 28, 2012 - 11:47 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

Every prime number ( > 6 ) can definitely be written as 6n+-1 form.
Also, Not every 6n+-1 is a prime number



dani kaithe 6n+/-1 daka enduku bhaiyya.. 2n+/-1 esukunna ade kada vachedi..
pattern is still in research.. prati daniki oka answer untundi.. wait seyyala.. leda maname kanipettala...
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Thikka_sankara
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Posted on Thursday, June 28, 2012 - 11:32 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Simba:

Any positive integer can be prime number

*note: Not all positive integers are primes.




kikiki
Naakonchem thikkundi.... daaaniko lekkundi
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Simba
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Posted on Thursday, June 28, 2012 - 11:29 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

No one said, 6n+-1 will defnitely be a prime number..



Dude.. where did you get this equation from?

Look at my definition:

Any positive integer can be prime number

*note: Not all positive integers are primes. :D
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Ranga
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Posted on Thursday, June 28, 2012 - 11:29 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

>> mari definite gaa follow avvaka pothe how it will be a pattern????

Prime numbers oka Pattern lo vuntaay ani evaroo cheppaledu.


Already evaro cheppinattu..

Every prime number ( > 6 ) can definitely be written as 6n+-1 form.
Also, Not every 6n+-1 is a prime number


.
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Tilak
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Posted on Thursday, June 28, 2012 - 11:27 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

nice thed .. after a long time .. got me thinking abt numbers .. :D
Lord Krishna to Arjuna - "Abhyasena tu kaunteya vairagyena cha grhyate"
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Thikka_sankara
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Posted on Thursday, June 28, 2012 - 11:23 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

No one said, 6n+-1 will defnitely be a prime number..




mari definite gaa follow avvaka pothe how it will be a pattern????
Naakonchem thikkundi.... daaaniko lekkundi
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Ranga
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Posted on Thursday, June 28, 2012 - 11:22 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Simba:

Not sure if it works for all values of n.

For ex: if n=20,
6n + 1 = 121 (11 x 11)
6n - 1 = 119 (17 x 7)

AFAIK, there is no known equation to generate prime numbers




No one said, 6n+-1 will defnitely be a prime number..

.
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Jatayu
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Posted on Thursday, June 28, 2012 - 11:16 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

so, only 6n+1 and 6n-1 can be primes..


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Simba
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Posted on Thursday, June 28, 2012 - 11:15 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

only 6n+1 and 6n-1 can be primes..



Not sure if it works for all values of n.

For ex: if n=20,
6n + 1 = 121 (11 x 11)
6n - 1 = 119 (17 x 7)

AFAIK, there is no known equation to generate prime numbers
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Vjavasi
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Posted on Thursday, June 28, 2012 - 11:09 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

so, only 6n+1 and 6n-1 can be primes..






can be primes ki.... they r primes ki teda vundhi....in that case even 2n+/-1 also can be primes, or any odd number can be prime
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Ranga
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Posted on Thursday, June 28, 2012 - 11:05 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

>> every prime number can be denoted by 6n+/-1

very easy to prove..

6n-2/6n+2 is a multiple of 2 - can not be a prime
6n-3/6n+3 is a multiple of 3 - can not be a prime
6n-4/6n+4is a multiple of 2 - can not be a prime

so, only 6n+1 and 6n-1 can be primes..
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Ntr_fan
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Posted on Thursday, June 28, 2012 - 10:39 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

asalu evaru kanukkunnaru prime numbers? how?
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:39 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Jatayu:


btw.. idi sinna isayam kadu annailu.. deeenimeeda peedda pedda schools lo phd thesislu nadustaaa unnai.. still simple ga cheppe sequence aithe kadu...






anduke CCDB lo discuss chestunnam....veeti sangathi telchataniki
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:37 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Simba:


what do you mean by surrounded? Not all even numbers under 100 have prime numbers next to them. For ex: 34. Numbers 33 and 35 are not prime.





yes, i was wrong
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Jatayu
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Posted on Thursday, June 28, 2012 - 09:36 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Vjavasi:

GCD
what's this



Greatest common divisor...

btw.. idi sinna isayam kadu annailu.. deeenimeeda peedda pedda schools lo phd thesislu nadustaaa unnai.. still simple ga cheppe sequence aithe kadu...
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Jatayu
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Posted on Thursday, June 28, 2012 - 09:34 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Simba:

because the prime number is odd. you are giving definition of odd number, not prime number



yes... 2n+/-1 ante.. odd number vastadi.. not a prime number..
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:33 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Sindhooram:

GCD






what's this
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:32 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Raman:

basic ga pattern levu kabatte prime numbers annaru anukunta





aha oppukom.....vaatiki entha dammu vunte vatiki istmochinattu vastaayi
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Raman
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Posted on Thursday, June 28, 2012 - 09:28 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

basic ga pattern levu kabatte prime numbers annaru anukunta
:d
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Vjavasi
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Vjavasi:


both wrong.....see this list of prime numbers below ten thousands.....sometimes the gap between two successive prime numbers is even 18





http://primes.utm.edu/lists/small/10000.txt
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:27 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Havingfun:

every prime number can be denoted by 6n+/-1 and hence they do follow a pettern...but again not every 6n+/-1 are prime.....






Vjavasi:

it can be 2n+/-1, except 2




both wrong.....see this list of prime numbers below ten thousands.....sometimes the gap between two successive prime numbers is even 18
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Sindhooram
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Posted on Thursday, June 28, 2012 - 09:25 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

fermat little theorem and euclidean theorem relates GCD with primes..may be that can help
"karmaNyE vaadhikaarastE, maaphalEshu kadaachanaa..maa karma phala hEturbhuuhu maatE sangOstva karmaNee" -- karmalanu aacharinchunTa yendE neeku adhikaaramunnadi kaanii vaani phalitamu paina lEdu.neevu karma phalamunaku kaaraNamu kaaraadu aTlani karmalanu chEyuTa maanaraadu
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Simba
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Posted on Thursday, June 28, 2012 - 09:21 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Vjavasi:

take any prime number....u can express it as multiple of 2 plus or minus 1



because the prime number is odd. you are giving definition of odd number, not prime number

Vjavasi:

each even number is surrounded by atleast one prime number atleat for less than 100.



what do you mean by surrounded? Not all even numbers under 100 have prime numbers next to them. For ex: 34. Numbers 33 and 35 are not prime.
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Vjavasi
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Posted on Thursday, June 28, 2012 - 09:14 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Tilak:

how? 9, 15 prime kaadu gaa?





but 7 and 17 are.......take any prime number....u can express it as multiple of 2 plus or minus 1. that's what i mean.......each even number is surrounded by atleast one prime number atleat for less than 100..need to further look into this for higher even numbers
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Tilak
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Posted on Thursday, June 28, 2012 - 08:56 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Vjavasi:

it can be 2n+/-1, except 2



how? 9, 15 prime kaadu gaa?
Lord Krishna to Arjuna - "Abhyasena tu kaunteya vairagyena cha grhyate"
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Vjavasi
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Posted on Thursday, June 28, 2012 - 08:40 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Havingfun:

every prime number can be denoted by 6n+/-1





it can be 2n+/-1, except 2
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Havingfun
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Posted on Thursday, June 28, 2012 - 08:35 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Havingfun:

every prime number can be denoted by 6n+/-1 and hence they do follow a pettern...but again not every 6n+/-1 are prime.....




applies only to prime numbers greter then 6
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Havingfun
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Posted on Thursday, June 28, 2012 - 08:34 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

every prime number can be denoted by 6n+/-1 and hence they do follow a pettern...but again not every 6n+/-1 are prime.....
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Vjavasi
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Eluri_kurradu:

rao garu ayana emi cheptunnadu ante any even number greater than 2 can be derived by adding 2 prime numbers ani





o.k got it.......any even number ki venakala kani mundhu kaani atleast oka prime number pakka ga vunnatundhi atleast for even numbers below hundred.......that's interesting...need further analysis
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Eluri_kurradu
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Vjavasi:

.btw 1000000 is not prime number


rao garu ayana emi cheptunnadu ante any even number greater than 2 can be derived by adding 2 prime numbers ani

100000 is even number bigger numbers autunna koddi prime numbers taggi potayi kada


I am not sure if this works ani anna work ayite pattern e joke ayite lite teeskovali
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Telugu_times
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Eluri_kurradu:


Math lo shaana weak anukuntaa rao gaaru?
lol
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Vjavasi
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Eluri_kurradu:

ante rogaru for example 36 undi it can be expressed as sum of 13+23
I am not sure if this works on bigger prime numbers like 1000000




prime numbers except 2 are odd, so when u combine any two of them result is even...but my question is on the pattern of their occurrence......btw 1000000 is not prime number
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Eluri_kurradu
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Posted on Thursday, June 28, 2012 - 08:03 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Vjavasi:


ante rogaru for example 36 undi it can be expressed as sum of 13+23
I am not sure if this works on bigger prime numbers like 1000000

If it does it has pattern .
Frankly I never knew this before
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Vjavasi
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Telugu_times:

11 is not even kadha?






oh read the post again.....got it wrong.....aina prime numbers gurinch discuss chestunte even numbers antad enti aa kurrodu......rendu odd klipithe even ani LKG lone cheptharu anukunta kadha
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Telugu_times
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Vjavasi:


11 is not even kadha?
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Ranga
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Posted on Thursday, June 28, 2012 - 07:55 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

>> can u express 11 as sum of two prime numbers including 2?

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Vjavasi
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Ranga:

any even number larger than 2, can be expressed as sum of two prime numbers.






can u express 11 as sum of two prime numbers including 2?
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Ranga
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Posted on Thursday, June 28, 2012 - 07:43 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

>> any even number larger than 2, can be expressed as sum of two prime numbers.
>> any 2 prime numbers when added ... give non-prime number .. exclude 2

both are different statements. think about it..
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Havingfun
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Posted on Thursday, June 28, 2012 - 07:33 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

Try searching for Prime numbers base 6 .....
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Telugu_times
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Posted on Thursday, June 28, 2012 - 07:27 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

when you add 2 odd nunbers, result is always even number.
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Jupiter
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Posted on Thursday, June 28, 2012 - 07:23 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ranga:

any even number larger than 2, can be expressed as sum of two prime numbers.



Jupiter:

any 2 prime numbers when added ... give non-prime number .. exclude 2



Maa cinema collection ATHYADHIKA kotlu .. maave genuince collections
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Ranga
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Posted on Thursday, June 28, 2012 - 07:22 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

another interesting fact about prime number:

any even number larger than 2, can be expressed as sum of two prime numbers.

this statement made by Euclid(?) in pre-historic days, baffled lot of mathematians for centuries. Finally someone proved it..
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Jupiter
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Posted on Thursday, June 28, 2012 - 07:20 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Zulu:

becoz sonia is an italian




but then .. inspite of getting a mexican .. going to the vatican ... why rahul is ashamed of being indian??
Maa cinema collection ATHYADHIKA kotlu .. maave genuince collections
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Tilak
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Posted on Thursday, June 28, 2012 - 07:19 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Zulu:

sonia is an italian



Lord Krishna to Arjuna - "Abhyasena tu kaunteya vairagyena cha grhyate"
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Vjavasi
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Posted on Thursday, June 28, 2012 - 06:58 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Zulu:

becoz sonia is an italian?






telugu akul katta emi kaadhu
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Jupiter
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Posted on Thursday, June 28, 2012 - 06:55 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ringo_rangaswamy:

All prime numbers when divided by 1 given the same value back




all primes multipled by 1 give the same number .. multipled by 0 also give the same number ...

any 2 prime numbers when added ... give non-prime number .. exclude 2
Maa cinema collection ATHYADHIKA kotlu .. maave genuince collections
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Subzero
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Posted on Thursday, June 28, 2012 - 06:43 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Ringo_rangaswamy:

All prime numbers when divided by 1 given the same value back





Vjavasi:

Why prime numbers don't follow a pattern?



adi Maha kutra. yellow media dushprachaaram. alantide emi ledu. prime numbers annee kooda, sonia ni follow avutai. [juss becoz they have the word 'prime' in their name ]
en kaadhal puriyalaya un nastam anbe po
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Zulu
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Posted on Wednesday, June 27, 2012 - 10:53 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Vjavasi:

Why prime numbers don't follow a pattern?



becoz sonia is an italian?
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Ringo_rangaswamy
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Posted on Wednesday, June 27, 2012 - 10:27 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

All prime numbers when divided by 1 given the same value back
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Subzero
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Posted on Wednesday, June 27, 2012 - 09:20 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Moodu_mukkalu:

xcept 2- all prime numbers can be derived sum of other prime numbers considered only once.



ayithe pattern unnatte kadaa
en kaadhal puriyalaya un nastam anbe po
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Thelegend
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Posted on Wednesday, June 27, 2012 - 12:21 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Jatayu:



Sachin:


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Moodu_mukkalu
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Posted on Wednesday, June 27, 2012 - 12:19 pm:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

xcept 2- all prime numbers can be derived sum of other prime numbers considered only once.
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Vjavasi
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Posted on Wednesday, June 27, 2012 - 11:28 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Thelegend:

except for 2, every prime number is odd?




yes,.....even, odd just a definition dependent on 2
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Sachin
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Posted on Wednesday, June 27, 2012 - 11:27 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Thelegend:




share ki gross ki thedaa theliyakapothenemi..daatar maaya box office disco lo iragadeesthaaadu... ki ki ki ...
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Jatayu
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Posted on Wednesday, June 27, 2012 - 11:23 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)


Thelegend:

except for 2, every prime number is odd?



even number aithe 2 oka multiple avvudi kada annai :-) :-)
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Thelegend
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Posted on Wednesday, June 27, 2012 - 11:22 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

except for 2, every prime number is odd?
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Vjavasi
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Posted on Wednesday, June 27, 2012 - 11:19 am:   Insert Quote Edit PostDelete PostPrint Post   Move Post (Moderator/Admin Only)Ban Poster IP (Moderator/Admin only)

1,2,3,-,5-7,---,11,-,13---17-19,---23-----29-31,-----37---41 -43---47

paina numbers prime numbers......can we see a pattern in their occurrence, in other words can the number of dashes form a well defined series?......if any pattern is impossible, anything special to note on them?

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