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 2009-05-15, 07:02 #1 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 32·17·61 Posts 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
 2009-05-15, 07:23 #2 10metreh     Nov 2008 2·33·43 Posts I'd guess 3141592 is a side-sequence.
2009-05-15, 07:30   #3
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2×1,061 Posts

Quote:
 Originally Posted by 10metreh 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....

 2009-05-15, 07:38 #4 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 100100011101012 Posts True! Same goes for another long one (sides with 510244)!
2009-05-15, 08:39   #5
axn

Jun 2003

4,861 Posts

Quote:
 Originally Posted by schickel 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

2009-05-15, 09:10   #6
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2·1,061 Posts

Quote:
 Originally Posted by axn 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.......

2009-05-15, 10:17   #7
axn

Jun 2003

4,861 Posts

Quote:
 Originally Posted by schickel 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).

2009-05-15, 10:51   #8
10metreh

Nov 2008

44228 Posts

Quote:
 Originally Posted by axn 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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