Computing Minimal Equal Sums Of High Like Powers |
This page stores the status of the search on powers above 32.
05- December 2002: Laurent Lucas sent 2 improvements.
27 November 2002: Torbjörn improved 67 and 75 usings Jarek's congurences.
23 Novenber 2002: Torbjörn found (91,1,12230) using Jarek's congurences.
14 November 2002: 49 slightly improved by Torbjörn. 15 November
too.
13 November 2002: Jaroslaw Wroblenski has made newcongurences for
49 and 98. Torbjörn improved 49.
12 November 2002: 68 improved by Greg, 37 slightly improved by Torbjörn.
10 November 2002: The first 68-result from Greg using ResultLC with the
first output!
9 November 2002: Greg sent improvments on 73 and 85 (12*k+1)!
8 November 2002: Torbjörn attacked 97, found (97,1,13221). 97 follows
the 12*k+1 pattern. 97 down to (1,97,11362)
7 November 2002: Greg improved 73 and 85, Torbjörn improved 85.
6 November 2002: Torbjörn made 86 now below 10000, new results for
73 and 85 from Greg!
5 November 2002: First try on 86.
4 November 2002: (62,1,2140) found. Jarek sent new congurences. Greg improved
73 and 85!
3 November 2002: Greg sent 62+63. All but 73 now below 4000 of the once
big 5!
Greg sent more 62+63, both below 3000.
2 November 2002: Greg sent improvments on 61 and 74.
1 November 2002: Greg sent improvments on 61 and 74 using Jarek's congurences!
31 October 2002: More from Greg and Torbjörn. 61 & 62 down again.
85 is now the first 5 digit power.
30 October 2002: 61 etc. almost blown to dust!
29 October 2002: Jarek sent congurence for 61,62,63,71,74. Improvments on
61,62,62. Greg fixed 73 + 38.
27 October 2002: Greg again! 37 below 400!!!
26 October 2002: Greg improved 37 again! 37 is now almost below 400!!!
25 October 2002: 37 and 38 now below 500!
24 October 2002: Jaroslaw Wroblenski has opened up a brand new road to the
hard ones. 37 is now below 523!!! 38 is coming down too.
27 September 2002: 73, 85 and 97 improved.
20 September 2002: 61 improved again.
18 September 2002: 73 and 61 improved. 61 down to 100000, 73 to 150000.
16 September 2002: 73 and 61 improved. 73 below 200000. 61: terms above
16 down below 100000.
10 September 2002: 62, 73 and 74 improved again.
09 September 2002: 73 and 74 improved again.
04 September 2002: Some more improvments by Torbjörn Alm
03 September 2002: The new Large SumsBKZ makes it possible to attac the
behemots.
62, 73 and 74 improved by Torbjörn Alm.
21 July 2002: Lucas Laurent sent improvments on 41, 42, 44, 45, and
47!
30 April 2003: Lucas Laurent sent improvments on 43!
06 April 2002,: Lucas Laurent has sent more results on 33, 38, 39!
29 March 2002: Lucas Laurent has sent more results on 33, 36, 37
09 February 2002: Lucas Laurent sent more results for 37!
21 January 2002: Lucas Laurent sent more fantastic results for 37!!! Torbjörn
Alm found (31,1,3821)
38 improved too.
19 January 2002: Lucas Laurent sent very good results for 37. RHS side almost
halved. Congratulations!
14 January 2002: Improvments on 38
13 January 2002: More improvments on 37
11 January 2002: The new SUMBKZ2 has improved 37 totally.
28 December 2001: A large number of results from Fumitaka Yura with improvments.
Congratulations!
31th August 2001: Greg Childers sent new results for 38 and for 61! First
term dropped considerably.
28th August 2001: Greg Childers sent improvments on 37
16th May 2001: 33 now below 300, all exponents up to 36 now below 400!
4th May 2001: 100 improved.
19th April 2001: 37, 61, and 74 improved
7th April 2001: 70 strongly improved.
3rd April 2001: 33 and 34 impoved.
31th March 2001: 68 strongly improved.
27th March 2001: A large number of results from Laurent Lucas
21th March 2001: A number of improvments by Torbjörn Alm
9th March 2001: Laurent Lucas sent a number of solutions.
3rd March 2001: Laurent Lucas sent a lot of new solutions (x,1,y).
2nd March 2001: Laurent Lucas sent a lot of solutions on 61 and other
exponents.
1st March 2001: Laurent Lucas sent improved 37.
11th February 2001: 35 just above 400, 36 well below 400.
31th January 2001: Counter added for visits.
29th January 2001: New home page for high powers now updated by Torbjörn
Alm.
1st January 2001: If you want to join the search on high powers (where
you should have more success than low powers), join the internal mailing list
here to
send your results.
All best lower bounds are now less than 2,000 !
28th December 2000: If you want to join the fun on this search, first download
SumBKZ and check
at Greg Childer's page
how to use it. Download also Fumitaka Yura's ResultLC2,
a tool to combine solutions to obtain better ones !
10th December 2000: Creation of this page.
Jaroslaw Wroblenski's files with congurences are found here
k\m | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |
33 | 295
(TA) |
218
(TA) |
219 | 220 | 221 | 216
(TA) |
207
(TA) |
202
(TA) |
199
(TA) |
194
(TA) |
167
(TA) |
168 | 169 | 170 | 171 | 159
(LL) |
34 | 318
(TA) |
276
(TA) |
268
(TA) |
261
(TA) |
254
(TA) |
241
(TA) |
225
(TA) |
220
(TA) |
221 | 213
(TA) |
213
(TA) |
207
(TA) |
198
(TA) |
199 | 193
(TA) |
192
(TA) |
35 | 395
(TA) |
371
(TA) |
342
(TA) |
286
(TA) |
287 | 285
(TA) |
268
(TA) |
269 | 258
(TA) |
257
(TA) |
245
(TA) |
244
(TA) |
244
(TA) |
245 | 226
(TA) |
227 |
36 | 377
(TA) |
374
(TA) |
375
(TA) |
338
(TA) |
338
(TA) |
315
(TA) |
303
(TA) |
304
(TA) |
269
(TA) |
242
(TA) |
243 | 244 | 245 | 238
(TA) |
236
(TA) |
237
(TA) |
37 | 385
(GC&JW) |
386 | 364
(GC&JW) |
363
(GC&JW) |
348
(GC&JW) |
329
(GC&JW) |
330 | 325
(GC&JW) |
318
(GC&JW) |
308
(TA&JW) |
309 | 303
(GC&JW) |
303
(GC&JW) |
286
(GC&JW) |
287 | 288 |
38 | 471
(GC&JW) |
472 | 473 | 384
(GC&JW) |
385 | 345
(GC&JW) |
340
(TA&JW) |
341 | 339
(GC&JW) |
340 | 311
(GC&JW) |
312 | 293
(GC&JW) |
294 | 294
(GC&JW) |
295 |
39 | 667
(TA) |
525
(TA) |
477
(TA) |
478 | 408
(TA) |
409 | 393
(TA) |
394 | 359
(TA) |
349
(TA) |
350 | 331
(TA) |
332 | 333 | 321
(TA) |
322 |
40 | 745
(LL) |
551
(TA) |
499
(TA) |
497
(TA) |
459
(TA) |
460 | 429
(TA) |
430 | 431 | 391
(TA) |
392 | 393 | 386
(TA) |
387 | 386
(TA) |
386
(TA) |
41 | 610
(TA) |
591
(TA) |
574
(TA) |
575 | 561
(TA) |
438
(TA) |
439 | 440 | 441 | 356
(GC) |
357 | 356
(LL) |
357 | 312
(TA) |
309
(TA) |
310 |
42 | 818
(TA) |
605
(TA) |
606 | 607
(TA) |
582
(TA) |
564
(TA) |
438
(FY) |
439 | 398
(TA) |
399 | 400 | 401 | 402 | 402
(TA) |
402
(TA) |
400
(TA) |
43 | 639
(TA) |
595
(TA) |
578
(TA) |
536
(TA) |
533
(TA) |
504
(TA) |
505 | 506 | 490
(TA) |
479
(TA) |
469
(TA) |
456
(TA) |
457 | 453
(TA) |
439
(TA) |
429
(TA) |
44 | 809
(TA) |
726
(TA) |
675
(TA) |
636
(TA) |
601
(TA) |
546
(TA) |
547 | 529
(TA) |
504
(TA) |
491
(TA) |
492 | 493 | 494 | 479
(TA) |
480 | 475
(TA) |
45 | 882
(TA) |
877
(TA) |
871
(TA) |
747
(TA) |
631
(TA) |
632 | 626
(TA) |
587
(TA) |
541
(TA) |
542 | 543 | 521
(TA) |
522 | 521
(TA) |
514
(TA) |
494
(TA) |
46 | 866
(GC) |
761
(GC) |
755
(GC) |
664
(TA) |
622
(TA) |
575
(TA) |
576 | 577 | 574
(TA) |
534
(GC) |
528
(GC) |
528
(TA) |
498
(GC) |
499 | 500 | 488
(GC) |
47 | 940
(TA) |
906
(TA) |
778
(TA) |
779 | 757
(TA) |
758 | 707
(TA) |
682
(TA) |
647
(TA) |
648
(TA) |
649 | 638
(TA) |
629
(TA) |
571
(TA) |
572 | 557
(TA) |
48 | 1077
(TA) |
935
(TA) |
936 | 925
(GC) |
926 | 774
(TA) |
775 | 776 | 777 | 733
(GC) |
686
(TA) |
687 | 667
(GC) |
604
(TA) |
605 | 606 |
49 | 939
(TA&JW) |
940 | 908
(TA&JW) |
824
(TA&JW) |
816
(TA&JW) |
817 | 797
(TA&JW) |
750
(TA&JW) |
751 | 752 | 753 | 670
(TA) |
671 | 672 | 673 | 633
(TA&JW) |
50 | 1164
(TA) |
996
(TA) |
945
(TA) |
946 | 918
(TA) |
899
(TA) |
895
(TA) |
896 | 891
(TA) |
888
(TA) |
876
(TA) |
744
(TA) |
739
(TA) |
735
(TA) |
719
(TA) |
698
(TA) |
51 | 1140
(TA) |
1084
(TA) |
1015
(TA) |
1016 | 1013
(TA) |
955
(TA) |
894
(TA) |
848
(TA) |
824
(TA) |
825 | 826 | 827 | 777
(TA) |
765
(TA) |
766
(TA) |
713
(TA) |
52 | 1826
(TA) |
1350
(TA) |
1288
(TA) |
1194
(TA) |
1122
(TA) |
1123 | 1104
(TA) |
1105 | 1079
(TA) |
1080 | 1081 | 1071
(TA) |
1072 | 1073 | 993
(TA) |
994 |
53 | 1438
(TA) |
1394
(TA) |
1356
(TA) |
1345
(TA) |
1054
(TA) |
1055 | 926
(TA) |
927 | 924
(TA) |
925 | 926 | 927 | 896
(TA) |
897 | 898 | 895
(TA) |
54 | 1772
(TA) |
1582
(TA) |
1496
(TA) |
1468
(TA) |
1253
(TA) |
1225
(TA) |
1185
(TA) |
1186 | 1091
(TA) |
1092 | 1067
(TA) |
1068 | 1069 | 978
(TA) |
956
(TA) |
953
(TA) |
55 | 1350
(TA) |
1296
(TA) |
1158
(TA) |
1159 | 1160 | 1120
(TA) |
1057
(TA) |
1058 | 1011
(TA) |
978
(TA) |
979 | 980 | 981 | 982 | 955
(TA) |
956 |
56 | 1772
(LL) |
1497
(TA) |
1478
(TA) |
1437
(TA) |
1394
(TA) |
1389
(TA) |
1350
(TA) |
1283
(TA) |
1230
(TA) |
1231 | 1232 | 1051
(TA) |
1052 | 1053 | 1054 | 1051
(TA) |
57 | 2501
(FY) |
1908
(TA) |
1708
(TA) |
1658
(TA) |
1624
(TA) |
1461
(TA) |
1439
(TA) |
1400
(TA) |
1365
(TA) |
1305
(TA) |
1232
(TA) |
1233 | 1234 | 1231
(TA) |
1200
(TA) |
1201 |
58 | 2071
(TA) |
1911
(TA) |
1909
(TA) |
1794
(TA) |
1673
(TA) |
1615
(TA) |
1499
(TA) |
1319
(TA) |
1317
(TA) |
1318 | 1319 | 1320 | 1312
(TA) |
1209
(TA) |
1210 | 1211 |
59 | 2223
(FY) |
2016
(TA) |
2007
(TA) |
1858
(TA) |
1391
(TA) |
1392 | 1393 | 1394 | 1395 | 1396 | 1397 | 1398 | 1384
(TA) |
1385 | 1344
(TA) |
1345 |
60 | 2703
(LL) |
2256
(TA) |
2212
(TA) |
2164
(TA) |
1937
(TA) |
1938 | 1764
(TA) |
1765 | 1766 | 1767 | 1499
(TA) |
1500 | 1501 | 1502 | 1444
(TA) |
1445 |
61 | 1818
(GC&JW) |
1783
(GC&JW) |
1721
(GC&JW) |
1718
(GC&JW) |
1714
(GC&JW) |
1659
(GC&JW) |
1660 | 1661 | 1662 | 1534
(GC&JW) |
1535 | 1536 | 1517
(GC&JW) |
1518 | 1519 | 1496
(GC&JW) |
62 | 2140
(TA&JW) |
2141 | 2142 | 1967
(TA&JW) |
1968 | 1969 | 1970 | 1971 | 1972 | 1788
(TA&JW) |
1786
(TA&JW) |
1632
(TA&JW) |
1633 | 1634 | 1635 | 1636 |
63 | 2819
(GC&JW) |
2659
(GC&JW) |
2546
(GC&JW) |
2205
(GC&JW) |
2206 | 2207 | 2208 | 2209 | 2202
(GC&JW) |
2190
(GC) |
2191 | 2192 | 2190
(GC&JW) |
2180
(GC&JW) |
2020
(GC) |
2021 |
64 | 2738
(TA) |
2739 | 2670
(TA) |
2611
(TA) |
2612 | 2613 | 2614 | 2580
(TA) |
1938
(TA) |
1939 | 1940 | 1941 | 1896
(TA) |
1812
(TA) |
1813 | 1814 |
65 | 3392
(TA) |
2810
(TA) |
2465
(TA) |
2250
(TA) |
2232
(TA) |
2126
(TA) |
1947
(TA) |
1948 | 1777
(TA) |
1778 | 1779 | 1780 | 1781 | 1722
(TA) |
1723 | 1724 |
66 | 5662
(LL) |
2620
(TA) |
2563
(TA) |
2456
(TA) |
2420
(TA) |
2421 | 2359
(TA) |
2028
(TA) |
2029 | 2030 | 2031 | 2032 | 1955
(TA) |
1956 | 1957 | 1958 |
67 | 4079
(TA&JW) |
3609
(TA) |
3495
(TA) |
3479
(TA) |
2841
(TA) |
2518
(TA) |
2519 | 2520 | 2521 | 2448
(TA) |
2449 | 2028
(TA) |
2029 | 2030 | 2029
(TA) |
2030 |
68 | 4394
(GC&JW) |
3520
(GC&JW) |
2587
(GC&JW) |
2588 | 2589 | 2590 | 2575
(GC&JW) |
2553
(GC&JW) |
2554 | 2399
(TA) |
2400 | 2383
(TA) |
2345
(GC&JW) |
2319
(GC&JW) |
2189
(TA) |
2190 |
69 | 5292
(LL) |
3436
(TA) |
3095
(TA) |
3019
(TA) |
2922
(TA) |
2869
(TA) |
2870 | 2871 | 2843
(TA) |
2844 | 2785
(TA) |
2770
(TA) |
2721
(TA) |
2722 | 2633
(TA) |
2634 |
70 | 3148
(TA) |
3081
(TA) |
2953
(TA) |
2935
(TA) |
2861
(TA) |
2846
(TA) |
2784
(TA) |
2785 | 2786 | 2510
(TA) |
2428
(TA) |
2429 | 2430 | 2431 | 2432 | 2242
(TA) |
71 | 4832
(LL) |
3536
(TA) |
3537 | 3432
(TA) |
3381
(TA) |
3382 | 3156
(TA) |
2930
(TA) |
2834
(TA) |
2835 | 2836 | 2837 | 2838 | 2637
(TA) |
2638 | 2639 |
72 | 3690
(TA) |
3691 | 3520
(TA) |
3427
(TA) |
3311
(TA) |
2956
(TA) |
2957 | 2680
(TA) |
2681 | 2682 | 2683 | 2684 | 2685 | 2686 | 2677
(TA) |
2583
(TA) |
73 | 3555
(GC&JW) |
3532
(GC&JW) |
3506
(GC&JW) |
3507 | 3408
(GC&JW) |
3409 | 3410 | 3411 | 3412 | 3413 | 3414 | 3378
(GC&JW) |
3379 | 3380 | 3381 | 3382 |
74 | 3928
(GC&JW) |
3667
(GC&JW) |
3668 | 3669 | 3670 | 3671 | 3484
(GC&JW) |
3485 | 3421
(GC&JW) |
3323
(GC&JW) |
3324 | 3325 | 3326 | 3327 | 3328 | 3235
(GC&JW) |
75 | 8160
(TA&JW) |
8161 | 6414
(TA) |
6415 | 6416 | 6266
(TA) |
6267 | 6268 | 6269 | 6233
(TA) |
6164
(TA) |
5997
(TA) |
5998 | 5877
(TA) |
5878 | 5879 |
76 | 6780
(LL) |
5319
(TA) |
5254
(TA) |
4712
(TA) |
3823
(TA) |
3824 | 3825 | 3826 | 3827 | 3828 | 3740
(TA) |
3741 | 3666
(TA) |
3667 | 3482
(TA) |
3483 |
77 | 5177
(FY) |
4797
(TA) |
4056
(TA) |
4057 | 3631
(TA) |
3496
(TA) |
3450
(TA) |
3440
(TA) |
3397
(TA) |
3334
(TA) |
3320
(TA) |
3276
(TA) |
3203
(TA) |
3204 | 3194
(TA) |
3195 |
78 | 5463
(TA) |
5032
(TA) |
4766
(TA) |
4424
(TA) |
4365
(TA) |
4366 | 4367 | 3803
(TA) |
3804 | 3505
(TA) |
3506 | 3507 | 3508 | 3509 | 3510 | 3511 |
79 | 5685
(TA) |
4950
(TA) |
4951 | 4765
(TA) |
4688
(TA) |
4689 | 4429
(TA) |
4430 | 4420
(TA) |
4182
(TA) |
4183 | 4129
(TA) |
3879
(TA) |
3880 | 3881 | 3680
(TA) |
80 | 7651
(LL) |
5655
(TA) |
4611
(TA) |
4612 | 4613 | 4614 | 4615 | 4616 | 4378
(TA) |
4318
(TA) |
4319 | 4148
(TA) |
3944
(TA) |
3903
(TA) |
3827
(TA) |
3828 |
81 | 7084
(LL) |
6652
(TA) |
6653 | 6562
(TA) |
6563 | 4634
(TA) |
4635 | 4636 | 4637 | 4638 | 4639 | 4640 | 3970
(TA) |
3890
(TA) |
3891 | 3715
(TA) |
82 | 9665
(LL) |
8737
(TA) |
8337
(TA) |
8010
(TA) |
7373
(TA) |
7333
(TA) |
7319
(TA) |
6204
(LL) |
4708
(TA) |
4709 | 4710 | 4711 | 4712 | 4713 | 4714 | 4715 |
83 | 7894
(LL) |
6186
(TA) |
5736
(TA) |
5061
(TA) |
5062 | 5063 | 5007
(TA) |
4834
(TA) |
4835 | 4836 | 4837 | 4838 | 4839 | 4840 | 4841 | 4842 |
84 | 7496
(LL) |
6113
(TA) |
6026
(TA) |
5738
(TA) |
5667
(TA) |
5553
(TA) |
5195
(TA) |
5196 | 5197 | 5116
(TA) |
4567
(TA) |
4568 | 4569 | 4570 | 4571 | 4311
(TA) |
85 | 5893
(GC&JW) |
5573
(GC&JW) |
5574 | 5575 | 5206
(TA&JW) |
5207 | 5208 | 5209 | 5210 | 5211 | 5212 | 5191
(TA&JW) |
5192 | 5193 | 5194 | 5195
(TA&JW) |
86 | 9295
(TA&JW) |
9296 | 9297 | 9298 | 9299 | 9300 | 9301 | 9302 | 9303 | 9261
(TA&JW) |
8924
(TA&JW) |
8925 | 8926 | 8927 | 8838
(TA&JW) |
8839 |
87 | 9411
(LL) |
6487
(TA) |
6488 | 6080
(TA) |
6081 | 5565
(TA) |
5566 | 5567 | 5568 | 5569 | 5570 | 5506
(TA) |
5507 | 5508 | 5509 | 5510 |
88 | 12874
(LL) |
8923
(TA) |
8084
(TA) |
6859
(TA) |
6630
(TA) |
6352
(TA) |
6353 | 6080
(TA) |
6000
(TA) |
5895
(TA) |
5761
(TA) |
5762 | 5763 | 5764 | 5558
(TA) |
5559 |
89 | 11431
(LL) |
10709
(TA) |
9145
(TA) |
8893
(TA) |
7896
(TA) |
5671
(TA) |
5672 | 5424
(TA) |
5425 | 5426 | 5427 | 5428 | 5429 | 5430 | 5431 | 5432 |
90 | 11017
(LL) |
9153
(TA) |
8288
(TA) |
7918
(TA) |
7919 | 7854
(TA) |
7780
(TA) |
7637
(TA) |
7638 | 6697
(TA) |
6698 | 6171
(TA) |
6172 | 6173 | 6174 | 6175 |
91 | 12230
(TA&JW) |
11084
(TA) |
9722
(TA) |
9310
(TA) |
9311 | 7826
(TA) |
7827 | 7828 | 7829 | 7830 | 7831 | 7118
(TA) |
7097
(TA) |
6857
(TA) |
6858 | 6721
(TA) |
92 | 9922
(LL) |
9923 | 9924 | 9925 | 8489
(TA) |
8306
(TA) |
8239
(TA) |
8166
(TA) |
7727
(TA) |
7728 | 7729 | 7730 | 7731 | 6602
(TA) |
6603 | 6604 |
93 | 14590
(LL) |
9440
(TA) |
8714
(TA) |
8391
(TA) |
8241
(TA) |
8242 | 8243 | 8096
(TA) |
8097 | 7425
(TA) |
7426 | 6802
(TA) |
6803 | 6804 | 6805 | 6672
(TA) |
94 | 15670
(LL) |
12383
(TA) |
9542
(TA) |
9142
(TA) |
8988
(TA) |
8820
(TA) |
8642
(TA) |
8374
(TA) |
8375 | 8093
(TA) |
7573
(TA) |
7574 | 7139
(TA) |
7140 | 7141 | 7142 |
95 | 12940
(LL) |
10469
(TA) |
10059
(TA) |
9979
(TA) |
9980 | 9889
(TA) |
8471
(TA) |
8472 | 7798
(TA) |
7799 | 7800 | 7801 | 7802 | 7803 | 7736
(TA) |
7737 |
96 | 18670
(LL) |
13620
(GC) |
10573
(TA) |
10574 | 9193
(TA) |
9194 | 9195 | 9196 | 8873
(TA) |
8874 | 8875 | 8876 | 8676
(TA) |
8677 | 8678 | 8441
(TA) |
97 | 11362
(TA&JW) |
11363 | 11364 | 11015
(TA&JW) |
11016 | 11017 | 11018 | 11019 | 10506
(TA&JW) |
10507 | 10508 | 10509 | 10510 | 10511 | 10512 | 10513 |
98 | 19845
(LL) |
13529
(FY) |
13135
(TA) |
11898
(TA) |
11899 | 11772
(TA) |
10305
(TA) |
10306 | 10307 | 9641
(TA) |
9642 | 9643 | 9644 | 9645 | 9646 | 9647 |
99 | 30611
(LL) |
12527
(TA) |
12528 | 12253
(TA) |
10404 | 9801
(LL) |
9625
(TA) |
9626 | 9627 | 9628 | 9629 | 9264
(TA) |
9265 | 9266 | 8717
(TA) |
8718 |
100 | 14031
(TA) |
12217
(GC) |
12218 | 12124
(TA) |
12025
(TA) |
11937
(TA) |
11938 | 11780
(TA) |
11290
(GC) |
11291 | 11292 | 11130
(GC) |
11131 | 11132 | 11133 | 11134 |
k | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
m+n | 88 (LL) |
101 (TA) |
106 (TA) |
107 (TA) |
111 (LL) |
117 (LL) |
116 (TA) |
140 (TA) |
146 (TA) |
148 (TA) |
165 (LL) |
161 (LL) |
179 (LL) |
196 (TA) |
211 (LL,TA) |
204 (GC) |
218 (TA) |
k | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 |
m+n | 232 (TA) |
243 (TA) |
269 (TA) |
279 (TA) |
280 (TA) |
295 (TA) |
322 (TA) |
317 (GC) |
348 (TA) |
357 (TA) |
339 (LL) |
362 (TA) |
363 (LL) |
402 (TA) |
434 (TA) |
460 (TA) |
467 (TA) |
k | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 | 82 | 83 |
m+n | 481 (TA) |
512 (GC&JW) |
514 (TA) |
607 (GC) |
610 (GC) |
684 (LL) |
570 (GC) |
680 (GC) |
636 (TA) |
703 (TA) |
754 (TA) |
770 (GC) |
834 (TA) |
905 (LL) |
886 (TA) |
905 (GC) |
985 (LL) |
k | 84 | 85 | 86 | 87 | 88 | 89 | 90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 | 100 |
m+n | 983 (TA) |
1048 (GC) |
1048 (GC) |
1074 (LL) |
1132 (TA) |
1194 (TA) |
1266 (LL) |
1229 (TA) |
1382 (LL) |
1339 (LL) |
1489 (GC) |
1673 (TA) |
1412 (GC) |
1453 (GC) |
1522 (GC) |
1621 (GC) |
1654 (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 |
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© 2001 Torbjörn Alm <torbjorn.alm@swipnet.se> |