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 2010-12-06, 07:58 #1 schickel     "Frank <^>" Dec 2004 CDP Janesville 2·1,049 Posts 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
2010-12-06, 08:38   #2
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

915810 Posts

Quote:
 Originally Posted by schickel 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.

2010-12-06, 08:48   #3
schickel

"Frank <^>"
Dec 2004
CDP Janesville

83216 Posts

Quote:
 Originally Posted by Batalov 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.....

2010-12-06, 13:51   #4
10metreh

Nov 2008

2·33·43 Posts

Quote:
 Originally Posted by schickel 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.

2010-12-06, 19:28   #5
schickel

"Frank <^>"
Dec 2004
CDP Janesville

1000001100102 Posts

Quote:
 Originally Posted by 10metreh 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.

2010-12-06, 20:10   #6
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2·1,049 Posts

Quote:
 Originally Posted by schickel 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!

2010-12-06, 20:59   #7
10metreh

Nov 2008

2·33·43 Posts

Quote:
 Originally Posted by schickel 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.

2010-12-07, 10:20   #8
schickel

"Frank <^>"
Dec 2004
CDP Janesville

2×1,049 Posts

Quote:
 Originally Posted by 10metreh 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

 2010-12-07, 10:32 #9 kar_bon     Mar 2006 Germany 1011001001002 Posts 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
 2010-12-09, 09:48 #10 schickel     "Frank <^>" Dec 2004 CDP Janesville 209810 Posts 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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