This page stores the status of the search with only prime values.
The number 1 is not prime, but is used in some of the solutions.
Most wanted solutions: (6,3,9) (6,2,8) (6,1,17) (7,4,8) (7,3,11) (7,2,12) (7,1,15)
15th September 2005: Jaroslaw Wroblewski found (7,1,11), (7,2,10), (7,4,6) and (10,9,9) !
16th February 2003: Michael Lau found (9,3,21) !
12th February 2003: Michael Lau found (9,2,22) !
2nd February 2003: Michael Lau found (7,2,12) !
18th November 2002: Michael Lau found (7,2,14).
11th November 2002: Michael Lau found (7,1,15) !
20th August 2002: Michael Lau found a new solution to (5,1,7) !
3rd January 2002: After one year of no update, Jaroslaw Wroblewski found
(5,3,3) !
4th December 2000: Another huge update.
18th November 2000: As usual, a lot of new results. Torbjörn Alm found
(27,51,55) !
10th November 2000: Greg Childers, Torbjörn Alm and Fumitaka Yura sent
a lot of results.
9th November 2000: Greg Childers, Torbjörn Alm and Fumitaka Yura sent
a lot of results !
6th November 2000: Greg Childers and Torbjörn Alm sent a lot of results
(as usual ;-)).
5th November 2000: Laurent Lucas found (6,2,10) and Greg Childers
and Torbjörn Alm sent a lot of results !
3rd November 2000: New results from Greg Childers and Torbjörn Alm
!
30th October 2000: Huge set of results from Greg Childers and Torbjörn
Alm !!!
28th October 2000: Laurent Lucas and Greg Childers sent a lot of new results.
Torbjörn Alm send (17,8,77)
27th October 2000: Another impressive set of results from Greg Childers
! Fixed the best result for 20th power.
25th October 2000: Torbjörn Alm found 3 new results and Greg Childers
found 40 !!!
24th October 2000: Greg Childers found (15,18,21), (17,11,80), (17,23,25)
and (25,46,52). Torbjörn Alm found (17,23,25), (18,14,69),
(19,16,62) and (24,41,41).
22nd October 2000: Greg Childers found (16,11,69), (17,6,87), (17,7,86)
and (17,12,80). Using Childers program, Torbjörn Alm found (8,2,33),
(11,7,19), (17,9,84) and (25,45,53).
21st October 2000: Torbjörn Alm found (11,4,31), Greg Childers
found (10,3,27), (13,8,44), (13,9,41), (13,11,23), (15,15,28), (15,16,24),
(16,13,70), (18,10,66) and (32,78,79).
18th October 2000: Torbjörn Alm found (10,8,18), Greg Childers
found (22,38,40) and (29,58,72).
17th October 2000: Greg Childers found (17,8,84), (19,27,29), (23,38,46),
(23,39,45) and (26,53,53).
16th October 2000: Greg Childers found a lot of new results.
15th October 2000: Greg Childers found (21,19,22), (25,9,83), (29,35,36),
(31,7,279) and (32,33,51)
13th October 2000: Torbjörn Alm and Greg Childers reported a lot of
new results.
11th October 2000: Torbjörn Alm found (14,9,49) and (15,14,32).
Greg Childers found (18,23,23), (19,27,31), (23,42,43), (24,45,45), (25,46,54),
(26,45,63), (27,58,61), (28,65,65), (29,50,93), (30,74,74), (31,76,92), (32,85,85)
among other results !
10th October 2000: Greg Childers found (7,3,12), (9,5,17), (10,10,10),
(11,11,13), (11,12,13), (12,8,44), (12,12,12), (13,9,45), (13,11,41), (13,14,16),
(14,10,34), (14,12,20), (14,14,22), (14,15,23), (14,16,24), (15,16,30), (15,19,21),
(16,7,74), (16,8,74), (16,9,75), (16,10,76), (16,12,69), (16,14,71), (17,6,94),
(17,11,91), (17,12,86), (17,13,78), (18,11,67), (18,14,70), (18,25,25), (19,30,32),
(20,30,30), (21,32,36). Laurent Lucas found (23,73,77), (24,119,119),
(25,84,94), (26,96,99), (27,80,105), (28,126,126), (29,97,137), (30,139,139),
(31,118,164), (32,144,144).
9th October 2000: Greg Childers found (9,6,12), (12,8,44), (13,9,45),
(13,14,18), (14,17,17), (15,11,46), (15,14,34), (15,19,23), (16,6,73), (16,8,75),
(16,9,75), (16,12,77), (16,20,20), (17,8,111), (17,9,99), (17,12,101), (17,14,95),
(17,15,78), (17,21,28), (20,31,31), (21,34,42), (22,29,53) and (22,41,41)
8th October 2000: Torbjörn Alm found (9,4,18), (11,6,26) and
(14,13,36). Greg Childers found (9,6,14), (10,73,1), (11,8,22), (11,9,17),
(11,10,16), (11,12,14), (11,13,13), (12,9,45), (12,10,46), (12,11,47), (12,12,48),
(13,11,49), (13,12,35), (13,15,17), (13,16,16), (14,15,24), (14,16,25), (15,12,38),
(15,13,37), (15,15,30), (15,17,26), (16,11,77), (16,13,78), (16,15,72), (16,16,73),
(17,12,112), (17,13,98), (17,14,98), (17,16,88), (17,21,31), (18,15,71), (18,16,72),
(18,26,26), (19,22,42), (20,34,34), (21,32,49) and (22,41,43).
7th October 2000: Greg Childers found (11,10,20), (12,13,13), (14,10,35)
and (20,38,38).
6th October 2000: Torbjörn Alm found (22,215,289), Laurent Lucas
found (18,2,445), (19,2,840) (20,2,1208) and (21,2,2533). Greg
Childers found (9,7,9), (10,8,32), (10,9,17), (11,11,15), (14,15,38), (14,16,30),
(15,16,34), (19,31,41), (22,52,60).
5th October 2000: Greg Childers found (8,7,7), (9,4,18), (9,7,15), (10,10,18),
(11,6,38), (11,7,22), (11,8,23), (11,9,23), (11,12,16), (13,14,20), (14,11,35),
(14,12,36), (14,13,37), (14,14,37), (14,16,32), (15,11,60), (15,12,48), (15,13,45),
(15,14,44), (15,15,35), (17,25,29), (18,16,73), (19,17,107), (19,32,40)
2nd October 2000: Laurent Lucas found (22,2,4234), (22,3,3716) and
(22,4,1488).
Greg Childers found (11,9,31), (11,10,21), (11,11,18), (11,12,18), (11,14,15),
(14,14,38), (14,16,40) and (15,16,48).
1st October 2000: Greg Childers found (9,6,16), (11,10,26) and
(11,12,22)
29th September 2000: Torbjörn Alm found (11,3,47) and Laurent
Lucas found (12,6,58), (15,1,235), (18,1,632), (20,1,2462) and (22,1,5460)
27th September 2000: Larry Hays found (17,1,477). Michael Lau found
(16,1,412) and (20,1,2939).
Laurent Lucas found (16,1,411) and (19,1,1093). Torbjörn
Alm found (11,5,44) and Joe Crump found (8,8,8), (9,8,8), (10,11,11),
(11,13,15), (12,14,14), (13,13,23), (13,15,21), (13,16,18), (14,19,19), (15,17,29),
(16,22,22), (17,27,31), (18,30,30), (19,30,46), (20,39,39) and (21,45,49).
26th September 2000: Larry Hays found (18,1,933) and (19,1,1586).
Torbjörn Alm found (18,3,479) and (21,3,1395). Greg Childers
found (8,12,13), (15,41,116), (17,75,94), (18,105,153),
(19,79,128), (20,144,256) and (21,202,325) !
24th September 2000: Torbjörn Alm found (17,5,375) and (18,3,581)
23th September 2000: Torbjörn Alm found (7,3,13), (19,4,925)
and (21,4,2470)
20th September 2000: Greg Childers found (7,1,17)
19th September 2000: Larry Hays found (13,1,96) and (15,1,264),
Torbjörn Alm found (11,3,48), (17,3,405) and (17,4,404)
18th September 2000: Torbjörn Alm found (12,5,57) and (13,3,93)
and Larry Hays found (13,1,114)
17th September 2000: Larry Hays found (9,5,19), (17,1,528)
and (17,2,438). Torbjörn Alm found (10,2,42), (10,3,36),
(10,4,28), (11,4,45), (18,2,843) and (19,2,963). Michael Lau found (13,1,120)
16th September 2000: Larry Hays found (11,2,47), (19,2,1374) and
(20,2,1538), Michael Lau found (13,1,122) and (16,1,416)
15th September 2000: Torbjörn Alm found (7,2,14) and (15,2,161),
Michael Lau found (12,1,79) and Larry Hays found (13,2,103).
14th September 2000: Torbjörn Alm found (7,2,16) and Michael
Lau found (13,1,124) and (20,1,3097)
k\m | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
2 | 5
(JCM) |
2
(JCM) |
||||||||||||||
3 | 3
(JCM) |
2
(JCM) |
||||||||||||||
4 | 17
(AL) |
2
(JCM) |
||||||||||||||
5 | 7
(JCM) |
6
(MLA) |
3
(JW) |
|||||||||||||
6 | 19
(JCM) |
10
(LL) |
3
(AL) |
|||||||||||||
7 | 11
(JW) |
10
(JW) |
9
(DM) |
6
(JW) |
5
(LL) |
|||||||||||
8 | 33
(AL) |
33
(TA) |
33
(LL) |
34 | 35 | 6
(AL) |
||||||||||
9 | 21
(AL) |
22
(MLA) |
21
(MLA) |
14
(DM) |
13
(GC) |
8
(GC) |
9
(GC) |
|||||||||
10 | 36
(AL) |
26
(GC) |
27
(GC) |
28
(TA) |
27
(GC) |
28
(GC) |
21
(GC) |
18
(TA) |
9
(JW) |
|||||||
11 | 40
(AL) |
41 | 36
(FY) |
27
(GC) |
21
(TA) |
20
(TA) |
19
(TA) |
16
(GC) |
17
(GC) |
14
(GC) |
13
(GC) |
13
(GC) |
||||
12 | 65
(AL) |
66 | 54
(TA) |
54
(TA) |
43
(FY) |
42
(GC) |
42
(FY) |
43
(FY) |
25
(FY) |
24
(GC) |
25
(GC) |
12
(GC) |
||||
13 | 91
(AL) |
92 | 67
(GC) |
58
(TA) |
50
(FY) |
39
(FY) |
40
(FY) |
37
(FY) |
34
(FY) |
35
(FY) |
23
(GC) |
20
(GC) |
19
(GC) |
16
(GC) |
17
(GC) |
|
14 | 97
(TA) |
98 | 87
(TA) |
52
(TA) |
53 | 54 | 40
(GC) |
41 | 41
(GC) |
33
(GC) |
29
(DM) |
20
(GC) |
21 | 22
(GC) |
23
(GC) |
16
(GC) |
15 | 115
(TA) |
108
(TA) |
85
(TA) |
56
(TA) |
57 | 58 | 54
(GC) |
50
(GC) |
41
(GC) |
38
(GC) |
29
(GC) |
30 | 30
(TA) |
28
(GC) |
28
(GC) |
24
(GC) |
16 | 139
(TA) |
139
(GC) |
138
(TA) |
71
(GC) |
71
(GC) |
71
(FY) |
72
(FY) |
72
(FY) |
73
(GC) |
74
(GC) |
69
(GC) |
69
(GC) |
70
(GC) |
71
(GC) |
71
(GC) |
72
(GC) |
17 | 124
(TA) |
123
(TA) |
105
(FY) |
105
(GC) |
98
(FY) |
87
(GC) |
86
(GC) |
77
(TA) |
78 | 79 | 73
(DM) |
72
(GC) |
73 | 69
(GC) |
70 | 66
(TA) |
18 | 193
(TA) |
154
(GC) |
155 | 140
(TA) |
140
(TA) |
119
(TA) |
87
(GC) |
65
(FY) |
65
(FY) |
66
(GC) |
66
(GC) |
67 | 68
(GC) |
69
(TA) |
70
(TA) |
70
(FY) |
19 | 268
(TA) |
210
(TA) |
191
(TA) |
168
(GC) |
155
(TA) |
156 | 153
(GC) |
112
(GC) |
113 | 89
(FY) |
90 | 91 | 76
(FY) |
66
(FY) |
66
(GC) |
59
(GC) |
20 | 276
(GC) |
277
(GC) |
258
(GC) |
180
(TA) |
181
(GC) |
182
(GC) |
183
(GC) |
184
(GC) |
185
(GC) |
165
(GC) |
143
(GC) |
144 | 140
(GC) |
141 | 141
(GC) |
95
(GC) |
21 | 278
(TA) |
279 | 263
(TA) |
262
(GC) |
235
(TA) |
225
(FY) |
195
(TA) |
196 | 155
(GC) |
156 | 115
(GC) |
116 | 117 | 99
(FY) |
97
(FY) |
89
(FY) |
22 | 425
(TA) |
402
(TA) |
284
(GC) |
285 | 258
(FY) |
259 | 191
(GC) |
192
(TA) |
177
(GC) |
178 | 173
(GC) |
174 | 174
(GC) |
153
(GC) |
154
(GC) |
130
(FY) |
23 | 497
(TA) |
373
(FY) |
374 | 368
(TA) |
347
(TA) |
318
(FY) |
292
(GC) |
293 | 271
(GC) |
267
(GC) |
225
(GC) |
212
(GC) |
183
(TA) |
184 | 183
(TA) |
184 |
24 | 456
(TA) |
290
(GC) |
291
(GC) |
292 | 293
(GC) |
294
(GC) |
295
(GC) |
296
(GC) |
297
(GC) |
234
(GC) |
183
(TA) |
184 | 185 | 186 | 187 | 188 |
25 | 714
(TA) |
591
(GC) |
490
(TA) |
447
(TA) |
444
(GC) |
404
(GC) |
405 | 382
(TA) |
358
(GC) |
313
(TA) |
314 | 315 | 275
(GC) |
276 | 277 | 261
(TA) |
26 | 749
(TA) |
639
(TA) |
573
(TA) |
555
(TA) |
482
(TA) |
454
(GC) |
455 | 403
(TA) |
404 | 405 | 324
(GC) |
325 | 325
(GC) |
326 | 327 | 280
(GC) |
27 | 800
(TA) |
710
(GC) |
677
(GC) |
402
(TA) |
403 | 404 | 405 | 406 | 407 | 408 | 409 | 410 | 411 | 412 | 413 | 348
(TA) |
28 | 828
(TA) |
704
(TA) |
705 | 468
(GC) |
440
(GC) |
441 | 442
(GC) |
443
(GC) |
444
(GC) |
445
(TA) |
446
(GC) |
447
(GC) |
448
(GC) |
449
(GC) |
450
(GC) |
435
(TA) |
29 | 1042
(TA) |
980
(TA) |
884
(TA) |
718
(GC) |
719 | 710
(GC) |
681
(GC) |
569
(TA) |
570 | 571 | 572 | 573 | 574 | 566
(GC) |
465
(GC) |
466 |
30 | 1233
(GC) |
695
(TA) |
696
(TA) |
697
(TA) |
698 | 699
(GC) |
700
(GC) |
624
(GC) |
513
(TA) |
514
(TA) |
515
(TA) |
516 | 517
(GC) |
518
(TA) |
519
(GC) |
520
(GC) |
31 | 1056
(TA) |
1057 | 949
(TA) |
950 | 845
(TA) |
846 | 768
(TA) |
769 | 770 | 771 | 772 | 773 | 701
(TA) |
702 | 703 | 690
(TA) |
32 | 1581
(TA) |
1282
(GC) |
1157
(TA) |
1158 | 1159 | 1160 | 647
(TA) |
648 | 649
(GC) |
650
(GC) |
651
(GC) |
652
(GC) |
653
(GC) |
654
(GC) |
655
(GC) |
656
(GC) |
k | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
m+n | 4 |
4 |
4 |
6 (JW) |
6 (AL) |
10 (JW,LL) |
12 (AL) |
14 (GC) |
18 (JW) |
24 (GC) |
24 (GC) |
30 (GC) |
32 (GC) |
39 (GC) |
40 (GC) |
48 (GC) |
k | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 |
m+n | 46 (GC) |
56 (GC) |
58 (TA) |
68 (GC) |
78 (DM,GC) |
79 (DM) |
82 (TA) |
96 (DM) |
105 (TA) |
106 (TA) |
118 (TA) |
130 (GC) |
127 (GC) |
148 (TA) |
157 (GC) |
AN: Aleksi Niemelä | BS: Bob Scher | DA: David Alten | DM: Douglas McNeil | EB: Edward Brisse |
EB2: Eric Bainville | FC: Frank Clowes | FY: Fumitaka Yura | GR: Giovanni Resta | JC: Joe Crump |
JCM: Jean-Charles Meyrignac | JMC: John Michael Crump | JML: Joe MacLean | JW: Jareslaw Wroblewski | KEK: Kjeld Elholm Kristensen |
KO: Kevin O'Hare | LHA: Larry Hays | LHU: Luke Huitt | LL: Laurent Lucas | LM: Luigi Morelli |
LP: Lander and Parkin | MD: Mark Dodrill | MLA: Michael Lau | MW: Mac Wang | NH: Norman Ho |
NK: Nuutti Kuosa | PG: Pascal Gelebart | RE: Randy Ekl | RS: Rizos Sakellariou | SIC: Scott I.Chase |
TA: Torbjörn Alm | TN: Tommy Nolan |
k | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
m+n | 4 |
4 |
4 |
6 (JW) |
8 (JCM) |
10 (LL) |
14 (GC) |
14 (GC) |
20 (GC) |
24 (GC) |
24 (GC) |
30 (GC) |
32 (GC) |
39 (GC) |
40 (GC) |
48 (GC) |
k | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 |
m+n | 46 (GC) |
56 (GC) |
58 (TA) |
68 (GC) |
78 (DM,GC) |
79 (DM) |
82 (TA) |
96 (DM) |
105 (TA) |
106 (TA) |
118 (TA) |
130 (GC) |
127 (GC) |
148 (TA) |
157 (GC) |
power (k) |
number of left terms (m) |
number of right terms (n), unexplored |
number of right terms (n), known lower bound |
number of right terms (n), best lower bound currently found |
number of right terms (n), best lower bound conjectured |
number of right terms (n), best lower bound proved |
number of right terms (n) that doesn't need to be explored |