Integer points on x^4+y^4+z^4=Nt^4

In the tables below, the search limits refer to the maximum of x, y, z and t.

N=1 (searched up to 500009 in 2884 minutes)

95800

217519

414560

422481

N=2 (searched up to 500009 in 2800 minutes)

32	1065	2321	1973
2156	5605	8381	7383
9845	44747	78212	67467
20091	58120	115003	98267
54796	76165	172667	146907
37028	64555	209731	176799
72681	156145	207512	187589
122213	246996	303115	280531
135168	216035	316229	281239

N=3 (searched up to 500009 in 3083 minutes)

N=17 (searched up to 500009 in 2246 minutes)

758	765	1066	583
62	884	2035	1011
533	1610	2448	1259
1224	1750	4751	2353
52637	78482	85680	49187
50222	66910	142341	71201

N=18 (searched up to 500009 in 3015 minutes)

191	199	278	149
91	109	326	159
191	758	1039	537
359	439	1214	593
463	538	1433	701
418	3631	3871	2169
1694	3557	4117	2243
1609	2566	4519	2257
3269	15299	34622	16967
21577	31873	32842	19133
6617	18454	61247	29797
24761	25598	77783	37969
37169	67417	125146	62109
799	86614	127823	65097
31901	224722	302683	157031
5702	247579	366779	186667

N=33 (searched up to 500009 in 3000 minutes)

1	2	2	1
2	4	7	3
2	89	376	157
1097	1888	8044	3359
5458	5738	10501	4549
3088	6076	11597	4933
28276	39757	49208	22853
33578	74566	109489	48049

N=51 (searched up to 500009 in 126 minutes)

No points found

N=66 (searched up to 500009 in 2217 minutes)

N=67 (searched up to 100003)

5	7	7	3
4423	7583	8765	3459

N=81 (searched up to 100003)

No points found

N=82 (searched up to 100003)

No points found

N=83 (searched up to 100003)

1	1	3	1
23	47	79	27

N=97 (searched up to 100003)

No points found

N=98 (searched up to 100003 in 280 minutes)

137	254	491	159
53	414	761	247
19	319	778	249
537	802	1597	517
201	874	4211	1339
3758	11107	19569	6377
2917	5879	21486	6839
1999	20966	40539	13109
13773	24898	41113	13523
514	2589	62263	19789
5833	50494	66613	22737
25478	26863	74467	23847
33941	61638	65297	24259
28129	30637	80982	25961

N=113 (searched up to 100003)

2	2	3	1
3164	3516	33101	10153

N=131 (searched up to 100003 in 126 minutes)

No points found

N=146 (searched up to 500009 in 1443 minutes)

N=147 (searched up to 100003)

No points found

N=161 (searched up to 100003)

No points found

N=162 (searched up to 100003)

96	3195	6963	1973
2156	5605	8381	2461
9845	44747	78212	22489

N=163 (searched up to 500009 in 5448 minutes)

1	3	3	1
97	203	209	69

N=177 (searched up to 100003)

No points found

N=178 (searched up to 100003)

N=193 (searched up to 100003)

6	19	24	7
27	28	36	11
1212	1972	2799	799

N=211 (searched up to 100003)

No points found

N=226 (searched up to 100003)

No points found

N=227 (searched up to 100003)

861

1825

2059

601

N=241 (searched up to 100003)

No points found

N=242 (searched up to 100003)

19	27	50	13
358	485	549	161
1	230	831	211
2755	5074	6011	1701
5059	7925	10462	2877
9153	9857	10390	3283
6905	24522	25601	7567
3981	4445	45502	11537

N=243 (searched up to 100003)

N=257 (searched up to 100003)

3	20	26	7
2886	5335	13562	3409

N=258 (searched up to 100003)

N=273 (searched up to 100003)

1	2	4	1
418	641	902	237
9329	32476	52732	13419

N=291 (searched up to 100003)

No points found

N=306 (searched up to 100003)

No points found

N=307 (searched up to 100003)

No points found

N=321 (searched up to 100003)

No points found

N=322 (searched up to 100003)

No points found

N=323 (searched up to 100003)

No points found

N=337 (searched up to 100003)

No points found

N=338 (searched up to 100003)

1237	1943	2228	591
233	1368	2893	683
752	1111	8133	1897
27221	36079	40804	11037
12897	25549	61708	14503
33984	39331	82783	19679
11432	51343	84757	20403

N=353 (searched up to 100003 in 215 minutes)

2	3	4	1
2	2	13	3
43	956	2514	583
1849	2202	3164	787
3377	8328	13714	3269
14173	19262	73824	17057
15582	15632	75617	17461

N=371 (searched up to 100003)

No points found

N=386 (searched up to 100003)

No points found

N=387 (searched up to 100003)

No points found

N=401 (searched up to 100003)

No points found

N=402 (searched up to 100003)

No points found

N=403 (searched up to 100003)

No points found

N=417 (searched up to 100003)

No points found

N=418 (searched up to 100003)

3	3	4	1
67	116	131	33
3867	7811	11208	2621

N=433 (searched up to 100003)

198

299

324

N=451 (searched up to 100003)

No points found

N=466 (searched up to 100003)

No points found

N=467 (searched up to 100003)

289

325

N=481 (searched up to 100003)

No points found

N=482 (searched up to 500009 in 3973 minutes)

1	5	14	3
152230	165269	290959	64707

N=483 (searched up to 100003 in 194 minutes)

1949

4727

12389

2657

N=497 (searched up to 100003)

No points found

N=498 (searched up to 100003)

No points found