Wacky residuals thread - Page 6

mdettweiler · 2009-09-21, 04:00

Never mind...duh, my post above can be ignored. I had neglected to consider that all the candidates I had been testing had been presieved to at least 1G, which would have completely eliminated any composite numbers from the sieve file. No wonder they were all prime.

Cruelty · 2009-09-21, 17:40

how about:

Code:

299*2^631372-1 is not prime.  LLR Res64: 14CA1BADA557CE3B  Time : 347.597 sec.

gd_barnes · 2009-09-21, 19:15

Funny. Good one Cruelty.

mdettweiler · 2010-03-25, 05:03

35224*39^22457+1 is composite: RES64: [BEBEB5C064CF8645] (31.1162s+0.0027s)

Mildly interesting repetition there.

gd_barnes · 2010-05-20, 12:18

Although I see a couple of others already posted in this thread, this is the first 6-peat that I've noticed:

58*581^12745-1 is composite: RES64: [EAE6E65DBBBBBB87] (33.0549s+0.0014s)

...and the "8" following the 6 B's "almost" looks like a B. I thought I might have the first 7-peat posted here for a second.

The 6 B's combined with the 3 E's and 2 6's mean that there are only 8 unique digits in this one.

AMDave · 2011-04-27, 10:04

where f(x) is Count of NPLB residuals containing (expression):

f("%ABCDEF%") = 15.
f("%DEC0DE%") = 9.
f("%BADF00D%") = 3.
f("%CAFEBABE%") = 0.

supplementaries:

f("%B00B5%") = 309. (would have been funny if it was an even number

)
f("%123456%") = 13. (unlucky for some)
f("%1234567%") = 1. (that was a surprise)
f("%ABCDEFG%") = 0. (Ah well. Can't win them all)
f("%000000%") = 14.
f("%0000000%") = 1. (cool)
f("%00000000%") = 0. (nope. not yet)

If "PRIME" (ASCII) = "50:52:49:4D:45" (Hex)
f("%5052494D45%") = 0. (Awww. Darn it)

f("%BEEF15BAD%") = 0. (sorry. none yet)

AMDave · 2011-04-27, 10:11

The following are BADA55 residuals:

(Oh. Shoot. I don't have one yet.)

Code:

+-------------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
| username    | date       | time     | k    | base | n      | sign | one | prime | residual         | seconds | server | port | pair_score       | prime_score |
+-------------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
| Jokern3000  | 2008-11-30 | 23:19:00 |  727 |    2 | 577117 | -    |   1 |     0 | BADA550599E4282E |    2349 | CC     | 443  | 2.08165019805625 |        NULL | 
| IronBits    | 2009-01-14 | 08:29:38 | 1463 |    2 |  58462 | -    |   1 |     0 | 2BADA55138907861 |       4 | IB     | 9000 |   0.021361284025 |        NULL | 
| MyDogBuster | 2009-01-23 | 16:37:58 | 1699 |    2 | 379559 | -    |   1 |     0 | 644DBADA5594F203 |     187 | IB     | 8000 | 0.90040646550625 |        NULL | 
| Brucifer    | 2008-05-16 | 23:17:26 |  841 |    2 | 436769 | -    |   1 |     0 | A8E937ADBADA55EA |     440 | AS     | 300  | 1.19229474600625 |        NULL | 
| gd_barnes   | 2008-03-07 | 06:45:56 |  705 |    2 | 373048 | -    |   1 |     0 | CBADA5580DC0AE6F |     247 | CC     | 300  |     0.8697800644 |        NULL | 
| IronBits    | 2009-04-30 | 02:56:09 | 1703 |    2 | 589102 | -    |   1 |     0 | 83A5793D8FBADA55 |     537 | IB     | 8000 |   2.169007290025 |        NULL | 
| Bruce       | 2009-05-03 | 20:03:44 | 1731 |    2 | 230971 | -    |   1 |     0 | D629BECCB0BADA55 |     259 | IB     | 9000 | 0.33342251775625 |        NULL | 
| LaurenU2    | 2009-05-07 | 23:47:27 | 1881 |    2 | 616449 | -    |   1 |     0 | 7012765BADA55083 |     601 | IB     | 8000 | 2.37505856000625 |        NULL | 
| Angus       | 2009-05-16 | 22:26:24 | 1823 |    2 | 640922 | -    |   1 |     0 | A6BADA552A6BE5E1 |    2455 | IB     | 8000 |   2.567381313025 |        NULL | 
| gd_barnes   | 2009-10-20 | 18:04:02 |  531 |    2 | 728977 | -    |   1 |     0 | 6FBADA55193D7953 |    3966 | IB     | 4000 | 3.32129666580625 |        NULL | 
| Bruce       | 2009-11-29 | 15:10:39 | 2401 |    2 |  76441 | -    |   1 |     0 | 4BADA55963EA101B |      89 | GB     | 7000 | 0.03652016550625 |        NULL | 
| kar_bon     | 2009-12-19 | 00:14:01 | 1821 |    2 | 664913 | -    |   1 |     0 | 4F97DBADA556BE6F |   86145 | IB     | 8000 | 2.76318310980625 |        NULL | 
| Beyond      | 2008-03-20 | 16:21:00 |  887 |    2 | 379622 | -    |   1 |     0 | 6BADA55839854C5C |      75 | MN     | 0001 |   0.900705393025 |        NULL | 
| gd_barnes   | 2010-04-14 | 21:35:18 | 2613 |    2 | 552735 | -    |   1 |     0 | BADA55AF3C7F4460 |     857 | GB     | 6000 | 1.90947487640625 |        NULL | 
| em99010pepe | 2008-03-15 | 09:26:00 |  371 |    2 | 261474 | -    |   1 |     0 | BADA55E959C97167 |      55 | MN     | 0003 |   0.427304079225 |        NULL | 
| Unknown     | 2008-04-10 | 13:03:00 |  309 |    2 | 345716 | -    |   1 |     0 | 1180ADB42BADA55E |     398 | MN     | 0003 |     0.7469972041 |        NULL | 
| Bruce       | 2009-12-23 | 12:49:00 | 2691 |    2 | 169315 | -    |   1 |     0 | 6F3907BADA55EAC1 |    2746 | MN     | 0012 | 0.17917230765625 |        NULL | 
| PCZ         | 2010-11-02 | 19:59:20 |  579 |    2 | 963291 | -    |   1 |     0 | A5BADA55F93F650F |     499 | GB     | 3000 | 5.79955969175625 |        NULL | 
| ototero     | 2011-02-23 | 00:21:21 |  961 |    2 | 787359 | -    |   1 |     0 | 520EBADA5573D852 |  126914 | GB     | 3000 | 3.87458871800625 |        NULL | 
+-------------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+

AMDave · 2011-04-27, 10:37

Count of 7-petes:

f("%0000000%") = 0.
f("%1111111%") = 0.
f("%2222222%") = 0.
f("%3333333%") = 3.
f("%4444444%") = 1.
f("%5555555%") = 1.
f("%6666666%") = 3.
f("%7777777%") = 0.
f("%8888888%") = 1.
f("%9999999%") = 1.
f("%AAAAAAA%") = 0.
f("%BBBBBBB%") = 1.
f("%CCCCCCC%") = 0.
f("%DDDDDDD%") = 1.
f("%EEEEEEE%") = 0.
f("%FFFFFFF%") = 2.

No 8-petes found at this time.

gd_barnes · 2011-04-27, 19:21

Quote:

Originally Posted by AMDave

where f(x) is Count of NPLB residuals containing (expression):f("%ABCDEFG%") = 0. (Ah well. Can't win them all)

If we ever have a residual with "ABCDEFG" in it, I'll be quite surprised.

gd_barnes · 2011-04-27, 19:28

Thanks for the cool info. Dave. One note: These 2 appear inconsistent:

Quote:

Originally Posted by AMDave

supplementaries:

f("%0000000%") = 1. (cool)

Quote:

Originally Posted by AMDave

Count of 7-petes:

f("%0000000%") = 0.

Can you check that? Also, if it exists, I wouldn't mind seeing the residual with seven consecutive 0's in it.

Thanks,
Gary

mdettweiler · 2011-04-27, 19:40

Quote:

Originally Posted by gd_barnes

Thanks for the cool info. Dave. One note: These 2 appear inconsistent:

Can you check that? Also, if it exists, I wouldn't mind seeing the residual with seven consecutive 0's in it.

Thanks,
Gary

It would appear that there is indeed one:

Code:

+----------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
| username | date       | time     | k    | base | n      | sign | one | prime | residual         | seconds | server | port | pair_score       | prime_score |
+----------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
| gamer007 | 2010-07-19 | 22:59:00 | 3055 |    2 | 514043 | -    |   1 |     0 | 483000000054F8B1 |     386 | MN     | 9001 | 1.65150128655625 |        NULL |
+----------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+

2009-09-21, 17:40	#57
Cruelty May 2005 65C₁₆ Posts	how about: Code: 299*2^631372-1 is not prime. LLR Res64: 14CA1BADA557CE3B Time : 347.597 sec.

2010-03-25, 05:03	#59
mdettweiler A Sunny Moo Aug 2007 USA 2×47×67 Posts	3522439^22457+1 is composite: RES64: [BEBEB5C064CF8645] (31.1162s+0.0027s) Mildly interesting repetition there. Last fiddled with by mdettweiler on 2010-03-25 at 05:03*

2011-04-27, 10:37	#63
AMDave Jan 2006 deep in a while-loop 1010011100₂ Posts	Count of 7-petes: f("%0000000%") = 0. f("%1111111%") = 0. f("%2222222%") = 0. f("%3333333%") = 3. f("%4444444%") = 1. f("%5555555%") = 1. f("%6666666%") = 3. f("%7777777%") = 0. f("%8888888%") = 1. f("%9999999%") = 1. f("%AAAAAAA%") = 0. f("%BBBBBBB%") = 1. f("%CCCCCCC%") = 0. f("%DDDDDDD%") = 1. f("%EEEEEEE%") = 0. f("%FFFFFFF%") = 2. No 8-petes found at this time. Last fiddled with by AMDave on 2011-04-27 at 10:39

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2009-09-21, 04:00	#56
mdettweiler A Sunny Moo Aug 2007 USA 2·47·67 Posts	Never mind...duh, my post above can be ignored. I had neglected to consider that all the candidates I had been testing had been presieved to at least 1G, which would have completely eliminated any composite numbers from the sieve file. No wonder they were all prime.

2009-09-21, 19:15	#58
gd_barnes "Gary" May 2007 Overland Park, KS 2³·29·53 Posts	Funny. Good one Cruelty.

2010-05-20, 12:18	#60
gd_barnes "Gary" May 2007 Overland Park, KS 11000000001000₂ Posts	Although I see a couple of others already posted in this thread, this is the first 6-peat that I've noticed: 58*581^12745-1 is composite: RES64: [EAE6E65DBBBBBB87] (33.0549s+0.0014s) ...and the "8" following the 6 B's "almost" looks like a B. I thought I might have the first 7-peat posted here for a second. The 6 B's combined with the 3 E's and 2 6's mean that there are only 8 unique digits in this one.

2011-04-27, 10:04	#61
AMDave Jan 2006 deep in a while-loop 2²·167 Posts	where f(x) is Count of NPLB residuals containing (expression): f("%ABCDEF%") = 15. f("%DEC0DE%") = 9. f("%BADF00D%") = 3. f("%CAFEBABE%") = 0. supplementaries: f("%B00B5%") = 309. (would have been funny if it was an even number ) f("%123456%") = 13. (unlucky for some) f("%1234567%") = 1. (that was a surprise) f("%ABCDEFG%") = 0. (Ah well. Can't win them all) f("%000000%") = 14. f("%0000000%") = 1. (cool) f("%00000000%") = 0. (nope. not yet) If "PRIME" (ASCII) = "50:52:49:4D:45" (Hex) f("%5052494D45%") = 0. (Awww. Darn it) f("%BEEF15BAD%") = 0. (sorry. none yet)