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-   -   Large and long open sequences (https://www.mersenneforum.org/showthread.php?t=14300)

schickel 2010-12-06 07:58

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 [strike]100[/strike] 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[/code]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[/code]

Batalov 2010-12-06 08:38

[QUOTE=schickel;240237]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 [U]100[/U]-1M range that are over 140 digits...[/QUOTE]
Sequences from 100-200K range seem to be absent.

schickel 2010-12-06 08:48

[QUOTE=Batalov;240241]Sequences from 100-200K range seem to be absent.[/QUOTE]Ooops...you're right. I was about 1/2 way through 100-200k when the DB stopped dishing out elf files.

Sorry.....

10metreh 2010-12-06 13:51

[QUOTE=schickel;240237][code]546504 3233. sz 176 2^3 * 3^2 * 5 * 19 * 4639
465150 1827. sz 176 2^3 * 3^2 * 5 * 19 * 4639[/code][/QUOTE]

Those both merge with 660. I suspect there are more side-sequences in that list.

schickel 2010-12-06 19:28

[QUOTE=10metreh;240270]Those both merge with 660. I suspect there are more side-sequences in that list.[/QUOTE]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.

schickel 2010-12-06 20:10

[QUOTE=schickel;240344]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.[/QUOTE]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...:grin:

10metreh 2010-12-06 20:59

[QUOTE=schickel;240237][code]431424 3705. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
834372 3786. sz 148 2^3 * 3 * 5 * 13 * 89 * 2490134359
[/code][/QUOTE]

One of these merges with the other.

schickel 2010-12-07 10:20

[QUOTE=10metreh;240366]One of these merges with the other.[/QUOTE]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....

kar_bon 2010-12-07 10:32

834372 merges at i=1935 (467728) with 431424 at i=1854.

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

schickel 2010-12-09 09:48

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[/code]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[/code]


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