The Pi sequences

Batalov · 2009-05-15, 07:02

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

10metreh · 2009-05-15, 07:23

I'd guess 3141592 is a side-sequence.

schickel · 2009-05-15, 07:30

Quote:

Originally Posted by 10metreh

I'd guess 3141592 is a side-sequence.

This line right here:

Code:

23. 12280 = 2^3 * 5 * 307

Batalov · 2009-05-15, 07:38

True! Same goes for another long one (sides with 510244)!

axn · 2009-05-15, 08:39

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

schickel · 2009-05-15, 09:10

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.......

axn · 2009-05-15, 10:17

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).

10metreh · 2009-05-15, 10:51

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...

2009-05-15, 07:02	#1
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2²×3²×7×37 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

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2009-05-15, 07:23	#2
10metreh Nov 2008 2×3³×43 Posts	I'd guess 3141592 is a side-sequence.

2009-05-15, 07:38	#4
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2²×3²×7×37 Posts	True! Same goes for another long one (sides with 510244)!