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. :rolleyes:

how about:[code]299*2^631372-1 is not prime. LLR Res64: 14CA1[B]BADA55[/B]7CE3B Time : 347.597 sec.[/code] :wink:

Funny. Good one Cruelty.

35224*39^22457+1 is composite: RES64: [[B]BEBEB[/B]5C064CF8645] (31.1162s+0.0027s)

Mildly interesting repetition there.

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.

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 :sad: )
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)

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 |
+-------------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
[/CODE]

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.

[QUOTE=AMDave;259721]where f(x) is Count of NPLB residuals containing (expression):f("%ABCDEFG%") = 0. (Ah well. Can't win them all)
[/QUOTE]


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

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

[QUOTE=AMDave;259721]supplementaries:

f("%0000000%") = 1. (cool)
[/QUOTE]

[QUOTE=AMDave;259724]Count of 7-petes:

f("%0000000%") = 0.
[/QUOTE]

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


Thanks,
Gary

[QUOTE=gd_barnes;259758]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[/QUOTE]
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 |
+----------+------------+----------+------+------+--------+------+-----+-------+------------------+---------+--------+------+------------------+-------------+
[/code]