p^2-p+1=q^3的素数解？

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能求出来吗？

biudiu

7    19

水属性

写个程序，很简单的事

WWLL13

1
" G: H2 {$ P1 \5 k5 l" [2 z/ Di
# G, ~1 k& @; F* x- ^4 s-i

小蛤蟆涛

这个题目找本数论的书看看吧  发这里也没什么实际意义

不懂的太多xx

伽罗瓦群专治n元n次方程求解问题

pacelife

1 |& h7 L1 ~; Y' m; ^7 B) \

pacelife

后面一个我算了一下，2000的2000次方以内都没结果（除了1），放弃了
% w" ~4 M2 \$ H% a1 g6 j- L5 P

shouce

我的思路：先找q的素数，然后解上面的方程。
2 t9 |# ]9 B: o1 S- k2 g  Zmatlab选1-998内的素数
n=2:1000;
for i=1:998
5 `! f+ O9 u! o1 |; xfor j=(i+1):999
5 b. r' C/ o2 ^9 Y1 E* Fa=rem(n(j),n(i));
6 J* }  S8 Q* v) vif a==0
n(j)=0;
end
! E: y0 d* R; R+ O- e9 L4 i# Z: Zend
7 q8 H, N% v3 W1 `" h, ~2 ~end
n(find(n==0))=[];

2	3	1.44224957
3	7	1.912931183
5	21	2.758924176
7	43	3.50339806
11	111	4.805895534
13	157	5.394690712
17	273	6.487154117
19	343	7
23	507	7.973873099
29	813	9.333191608
31	931	9.76449739
37	1333	11.00550688
41	1641	11.79513349
43	1807	12.18015227
47	2163	12.93258991
53	2757	14.02207402
59	3423	15.07077663
61	3661	15.41226885
67	4423	16.41492791
71	4971	17.06663581
73	5257	17.3878543
79	6163	18.33428829
83	6807	18.95186337
89	7833	19.85985358
97	9313	21.03923127
101	10101	21.6166367
103	10507	21.90246075
107	11343	22.46859817
109	11773	22.7490037
113	12657	23.30470412
127	16003	25.1999958
131	17031	25.72843577
137	18633	26.51109065
139	19183	26.76941264
149	22053	28.04287649
151	22651	28.29409409
157	24493	29.04116232
163	26407	29.77874255
167	27723	30.26542255
173	29757	30.98820224
179	31863	31.70264916
181	32581	31.93901144
191	36291	33.10800243
193	37057	33.33932115
197	38613	33.7995705
199	39403	34.02852278
211	44311	35.3864653
223	49507	36.718833
227	51303	37.15759418
229	52213	37.37600527
233	54057	37.81092599
239	56883	38.45866143
241	57841	38.67336223
251	62751	39.73808036
257	65793	40.37010663
263	68907	40.99722369
269	72093	41.61958059
271	73171	41.82599971
277	76453	42.44222831
281	78681	42.85057201
283	79807	43.05401541
293	85557	44.06412825
307	93943	45.45916717
311	96411	45.85382078
313	97657	46.05051162
317	100173	46.44263941
331	109231	47.80228276
337	113233	48.37908734
347	120063	49.33287172
349	121453	49.52252147
353	124257	49.9007364
359	128523	50.46538817
367	134323	51.21338253
373	138757	51.77081086
379	143263	52.32525423
383	146307	52.69325599
389	150933	53.24286311
397	157213	53.97129247
401	160401	54.33366789
409	166873	55.05482137
419	175143	55.94967843
421	176821	56.12779065
431	185331	57.01415469
433	187057	57.19060028
439	192283	57.71831311
443	195807	58.06878482
449	201153	58.59251925
457	208393	59.28721395
461	212061	59.633038
463	213907	59.80557436
467	217623	60.14990295
479	228963	61.17703654
487	236683	61.85702399
491	240591	62.19561871
499	248503	62.87006056
503	252507	63.20592731
509	258573	63.70806161
521	270921	64.70644746
523	273007	64.87209562
541	292141	66.35355113
547	298663	66.84369892
557	309693	67.6566458
563	316407	68.14207607
569	323193	68.62578342
571	325471	68.78664052
577	332353	69.26808817
587	343983	70.06680697
593	351057	70.54385883
599	358203	71.01930309
601	360601	71.17743099
607	367843	71.65076506
613	375157	72.12254081
617	380073	72.4362023
619	382543	72.59277856
631	397531	73.52871909
641	410241	74.30414149
643	412807	74.45874027
647	417963	74.76745751
653	425757	75.22934242
659	433623	75.68981375
661	436261	75.84299304
673	452257	76.75884523
677	457653	77.06291591
683	465807	77.51790083
691	476791	78.12247907
701	490701	78.87492894
709	501973	79.47431366
719	516243	80.22038192
727	527803	80.81474709
733	536557	81.25909011
739	545383	81.70222155
743	551307	81.99697589
751	563251	82.58490188
757	572293	83.02447626
761	578361	83.31688031
769	590593	83.90015537
773	596757	84.19103347
787	618583	85.20517907
797	634413	85.92588711
809	653673	86.78676807
811	656911	86.92983289
821	673221	87.64340023
823	676507	87.78576503
827	683103	88.07014896
829	686413	88.21216883
839	703083	88.92056203
853	726757	89.90760064
857	733593	90.18861678
859	737023	90.32896075
863	743907	90.60932222
877	768253	91.5871943
881	775281	91.86562772
883	778807	92.00468628
887	785883	92.28248869
907	821743	93.66528763
911	829011	93.94062192
919	843643	94.49008416
929	862113	95.17467402
937	877033	95.72057783
941	884541	95.99294653
947	895863	96.40077678
953	907257	96.80774618
967	934123	97.75403402

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