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Old 2010-12-06, 07:58   #1
schickel
 
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Exclamation Large and long open sequences

Well, I was going to survey the whole range from 1-1M, but yesterday the DB decided to stop dispensing elf files.

So, this isn't the whole range, but here are the open sequences in the 100 200-1M range that are over 140 digits:
Code:
546504 3233. sz 176 2^3 * 3^2 * 5 * 19 * 4639
465150 1827. sz 176 2^3 * 3^2 * 5 * 19 * 4639
546120 4135. sz 164 2^3 * 3 * 7 * 19 * 51592549
363270 1730. sz 161 2^5 * 3 * 18181
508464 4138. sz 161 2^4 * 3^3 * 5 * 23 * 31
204828 4512. sz 156 2 * 3 * 29 * 59
577176 6430. sz 154 2 * 3 * 5 * 23 * 97^2 * 191 * 11783
283752 6974. sz 151 2^5 * 5 * 13
604560 2642. sz 148 2^6 * 5
431424 3705. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
834372 3786. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
552150 8197. sz 147 2^2 * 3 * 7^2 * 17 * 953 * 16493
411960 3876. sz 146 2^4 * 5 * 31 * 47 * 71 * 271 * 773 * 2293 * 35166898616767
235416 2912. sz 142 2 * 3^2 * 89
205980 3120. sz 141 2^3 * 3^3 * 31 * 313
628140 2229. sz 141 2^2 * 7
842592 7702. sz 140 2^4 * 5 * 67233454478404495245571485304549
553014 1870. sz 140 2^4 * 3^2 * 5 * 11 * 31
859974 6344. sz 140 2 * 3^2 * 379
And here are the sequences >5000 lines in length:
Code:
552150 8197. sz 147 2^2 * 3 * 7^2 * 17 * 953 * 16493
842592 7702. sz 140 2^4 * 5 * 67233454478404495245571485304549
392430 7332. sz 139 2^2 * 3 * 5 * 7 * 29
283752 6974. sz 151 2^5 * 5 * 13
556276 6804. sz 136 2^2 * 5 * 7 * 2777 * 5852443
577176 6430. sz 154 2 * 3 * 5 * 23 * 97^2 * 191 * 11783
728910 6363. sz 132 2^2 * 7
250824 6358. sz 127 2 * 3 * 1042903 * 7214124991648469
859974 6344. sz 140 2 * 3^2 * 379
812280 6155. sz 125 2^2 * 5 * 7 * 11 * 463 * 2297 * 120383
500010 6141. sz 120 2^2 * 3 * 5^3 * 7 * 739
740856 5945. sz 125 2^4 * 31 * 503137 * 6596707264309
236754 5764. sz 125 2^2 * 7 * 503 * 2803 * 830741
309480 5657. sz 129 2^2 * 13 * 17 * 2778539
472200 5656. sz 139 2^4 * 31 * 163
643752 5475. sz 135 2^3 * 3
933436 5426. sz 130 2^4 * 11 * 17
582828 5188. sz 128 2^2 * 3 * 5 * 7 * 559133
791220 5164. sz 122 2^2 * 3^2 * 7 * 61 * 613
244140 5133. sz 124 2^3 * 3^2 * 11

Last fiddled with by schickel on 2010-12-06 at 08:49 Reason: Serge spotted my gaffe
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Old 2010-12-06, 08:38   #2
Batalov
 
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Quote:
Originally Posted by schickel View Post
Well, I was going to survey the whole range from 1-1M, but yesterday the DB decided to stop dispensing elf files.

So, this isn't the whole range, but here are the open sequences in the 100-1M range that are over 140 digits...
Sequences from 100-200K range seem to be absent.
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Old 2010-12-06, 08:48   #3
schickel
 
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Quote:
Originally Posted by Batalov View Post
Sequences from 100-200K range seem to be absent.
Ooops...you're right. I was about 1/2 way through 100-200k when the DB stopped dishing out elf files.

Sorry.....
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Old 2010-12-06, 13:51   #4
10metreh
 
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Quote:
Originally Posted by schickel View Post
Code:
546504 3233. sz 176 2^3 * 3^2 * 5 * 19 * 4639
465150 1827. sz 176 2^3 * 3^2 * 5 * 19 * 4639
Those both merge with 660. I suspect there are more side-sequences in that list.
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Old 2010-12-06, 19:28   #5
schickel
 
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Quote:
Originally Posted by 10metreh View Post
Those both merge with 660. I suspect there are more side-sequences in that list.
Oh, nice catch! I didn't even see that until you pointed it out. (I really miss the DB merge detection.) I'll take another look when I'm off this week.

Let me know if I missed anything else.
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Old 2010-12-06, 20:10   #6
schickel
 
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Quote:
Originally Posted by schickel View Post
Oh, nice catch! I didn't even see that until you pointed it out. (I really miss the DB merge detection.) I'll take another look when I'm off this week.

Let me know if I missed anything else.
Hmmm....actually, I missed them when I culled the merges/terminations from kar_bon's summary pages, too. I guess that when I'm tired at the end of a long day, I should relax instead of trying to get some work done here...

Last fiddled with by schickel on 2010-12-07 at 07:14 Reason: Arrgh...typo!
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Old 2010-12-06, 20:59   #7
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Quote:
Originally Posted by schickel View Post
Code:
431424 3705. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
834372 3786. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
One of these merges with the other.
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Old 2010-12-07, 10:20   #8
schickel
 
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Quote:
Originally Posted by 10metreh View Post
One of these merges with the other.
Actually I didn't cull out my finds first. I noticed 431424 merged with 5208, so I guess 834372 does, too!

Interesting how stuff pops out when you look at data differently....

Last fiddled with by schickel on 2010-12-07 at 10:28
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Old 2010-12-07, 10:32   #9
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834372 merges at i=1935 (467728) with 431424 at i=1854.

And 431424 merges at i=1853 (405232) with 5208 at i=10.

Last fiddled with by kar_bon on 2010-12-07 at 10:34
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Old 2010-12-09, 09:48   #10
schickel
 
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OK, let's try this again. These should be cleaned up and represent everything between 276 and 999894 or, IOW, everything open under 1M.

Sequences longer than 6000 lines:
Code:
453798 8290. sz 101 2^2 * 3^2 * 5 * 7 * 1129
552150 8197. sz 147 2^2 * 3 * 7^2 * 17 * 953 * 16493
195528 8017. sz 144 2 * 3^4 * 24110979082363
842592 7702. sz 140 2^4 * 5 * 67233454478404495245571485304549
392430 7332. sz 139 2^2 * 3 * 5 * 7 * 29
  1578 7300. sz 142 2 * 3 * 19 * 179 * 3331
144984 7053. sz 147 2^5 * 3 * 7 * 61 * 193
283752 6974. sz 151 2^5 * 5 * 13
556276 6804. sz 136 2^2 * 5 * 7 * 2777 * 5852443
577176 6430. sz 154 2 * 3 * 5 * 23 * 97^2 * 191 * 11783
728910 6363. sz 132 2^2 * 7
250824 6358. sz 127 2 * 3 * 1042903 * 7214124991648469
859974 6344. sz 140 2 * 3^2 * 379
 11040 6229. sz 142 2^2 * 5 * 11 * 29732113
812280 6155. sz 125 2^2 * 5 * 7 * 11 * 463 * 2297 * 120383
500010 6141. sz 120 2^2 * 3 * 5^3 * 7 * 739
740856 5945. sz 125 2^4 * 31 * 503137 * 6596707264309
And sequences larger than 160 digits:
Code:
   660  876. sz 176 2^3 * 3^2 * 5 * 19 * 4639
  4788 2584. sz 173 2^7 * 29 * 83 * 157 * 44832772349
162126 4268. sz 173 2^3 * 3 * 5^2 * 14951 * 4637781623
   564 3342. sz 171 2^2 * 7 * 13 * 37 * 89 * 96368759
  3270  620. sz 169 2^5 * 3 * 7
  3432 1124. sz 168 2^3 * 3 * 5 * 7 * 23
   552 1004. sz 167 2^6 * 3 * 5 * 47 * 278503
   966  839. sz 167 2^3 * 3 * 11 * 31 * 2234233127176538127037
  1464 2342. sz 166 2^3 * 3^3 * 7 * 19 * 2141 * 52051 * 1378589393652045503659775937267743
  4380 2269. sz 166 2^3 * 3 * 10145907302454908650667
  1074 1965. sz 166 2^11 * 3 * 131
  5400 3088. sz 165 2^2 * 3^2 * 7 * 10350190371687456191761471602847
  1134 2367. sz 164 2^3 * 23 * 101 * 425518750093
   276 1664. sz 163 2 * 3^2 * 17
  2712 1928. sz 162 2^5 * 3 * 7 * 127 * 83137 * 5426243 * 17623049
  8352 1673. sz 162 2^2 * 3^3 * 7 * 11
103920 5693. sz 161 2^5 * 3 * 83 * 98341609
363270 1730. sz 161 2^5 * 3 * 18181
  4800 1475. sz 161 2^4 * 3^3 * 5 * 23 * 31
  5748 1382. sz 161 2^2 * 7 * 157 * 839
  3366 1934. sz 159 2^2 * 3 * 17 * 150329 * 1641043
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