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Old 2009-05-15, 07:02   #1
Batalov
 
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Phi(4,2^7658614+1)/2

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Smile The Pi sequences

Some fun sequences (just got bored and...):
31415926535897932384626433832795
3141592653589793238462643383279
314159265358979323846264338327
31415926535897932384626433832
3141592653589793238462643383
314159265358979323846264338
31415926535897932384626433
3141592653589793238462643
314159265358979323846264
31415926535897932384626
3141592653589793238462
314159265358979323846
31415926535897932384
3141592653589793238 played with this one mostly this evening... i2000
314159265358979323
31415926535897932 known... i2903
3141592653589793
314159265358979
31415926535897 ...many terminate easily...
3141592653589
314159265358
31415926535
3141592653
314159265
31415926
3141592 apparently very well known... i5793 now
314159
31415
3141
314
31
3

Most probably, there's a web page somewhere for these.

P.S. Almost forgot to mention that one of them has a pair of large twin primes in the sequence (multplied by 28):
Code:
353 . 308670651623397999473342274798943631525179049572401128447547169906943100908 = 2^2 * 7 * 11023951843692785695476509814247986840184966056157183158840970353819396461
354 . 308670651623397999473342274798943631525179049572401128447547169906943100964 = 2^2 * 7 * 11023951843692785695476509814247986840184966056157183158840970353819396463
355 . 308670651623397999473342274798943631525179049572401128447547169906943101020 = 2^2 * 3^6 * 5 * 7 * 5711 * 650437663189 * 814182819266197613617285670287769380770882879696986623

Last fiddled with by Batalov on 2009-05-15 at 07:34 Reason: twins
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Old 2009-05-15, 07:23   #2
10metreh
 
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I'd guess 3141592 is a side-sequence.
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Old 2009-05-15, 07:30   #3
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Quote:
Originally Posted by 10metreh View Post
I'd guess 3141592 is a side-sequence.
This line right here:
Code:
23. 12280 = 2^3 * 5 * 307

Last fiddled with by schickel on 2009-05-15 at 07:31 Reason: Stupid fat fingers....
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Old 2009-05-15, 07:38   #4
Batalov
 
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True! Same goes for another long one (sides with 510244)!
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Old 2009-05-15, 08:39   #5
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Quote:
Originally Posted by schickel View Post
This line right here:
Code:
23. 12280 = 2^3 * 5 * 307
If you click on any of the fully factored lines, it will show exactly which sequence it is (in the "Additional Information" section). In this case it is 8760

Last fiddled with by axn on 2009-05-15 at 08:40
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Old 2009-05-15, 09:10   #6
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Quote:
Originally Posted by axn View Post
If you click on any of the fully factored lines, it will show exactly which sequence it is (in the "Additional Information" section). In this case it is 8760
Ah, I see, but only for primes >9 digits.......
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Old 2009-05-15, 10:17   #7
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Quote:
Originally Posted by schickel View Post
Ah, I see, but only for primes >9 digits.......
Yep. Very nifty feature. Which brings me to the next suggestion. Will it be possible to upload the whole list of Aliquot Sequences (from all the sources, including Terminated sequences) uploaded into the database? This will streamline the analysis for sequence merging. For example, I pushed on 10^6+2 for quite some time, only to turn out that it merges with 330594 (I guess after someone (you?) uploaded it).
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Old 2009-05-15, 10:51   #8
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Quote:
Originally Posted by axn View Post
Yep. Very nifty feature. Which brings me to the next suggestion. Will it be possible to upload the whole list of Aliquot Sequences (from all the sources, including Terminated sequences) uploaded into the database? This will streamline the analysis for sequence merging. For example, I pushed on 10^6+2 for quite some time, only to turn out that it merges with 330594 (I guess after someone (you?) uploaded it).
Actually I mentioned it in the original discussion, and noticed the side-sequence...
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