Analysis of sixth Residue over Z₆₂₅

sixth residue (6R)	x such that x6 = 6R mod 625	Occurance
0	0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580, 585, 590, 595, 600, 605, 610, 615, 620	125
1	1, 624	2
4	303, 322	2
6	269, 356	2
9	212, 413	2
11	39, 586	2
14	148, 477	2
16	66, 559	2
19	133, 492	2
21	46, 579	2
24	257, 368	2
26	99, 526	2
29	228, 397	2
31	256, 369	2
34	287, 338	2
36	139, 486	2
39	73, 552	2
41	34, 591	2
44	58, 567	2
46	54, 571	2
49	293, 332	2
51	199, 426	2
54	153, 472	2
56	156, 469	2
59	263, 362	2
61	239, 386	2
64	2, 623	2
66	134, 491	2
69	17, 608	2
71	154, 471	2
74	218, 407	2
76	299, 326	2
79	78, 547	2
81	56, 569	2
84	188, 437	2
86	286, 339	2
89	77, 548	2
91	234, 391	2
94	92, 533	2
96	254, 371	2
99	143, 482	2
101	226, 399	2
104	3, 622	2
106	44, 581	2
109	113, 512	2
111	186, 439	2
114	152, 473	2
116	291, 334	2
119	167, 458	2
121	271, 354	2
124	68, 557	2
126	126, 499	2
129	72, 553	2
131	144, 481	2
134	38, 587	2
136	86, 539	2
139	227, 398	2
141	191, 434	2
144	242, 383	2
146	171, 454	2
149	7, 618	2
151	26, 599	2
154	147, 478	2
156	244, 381	2
159	37, 588	2
161	14, 611	2
164	302, 323	2
166	91, 534	2
169	308, 317	2
171	71, 554	2
174	82, 543	2
176	74, 551	2
179	222, 403	2
181	281, 344	2
184	112, 513	2
186	114, 511	2
189	248, 377	2
191	9, 616	2
194	233, 392	2
196	29, 596	2
199	157, 468	2
201	174, 451	2
204	297, 328	2
206	181, 444	2
209	187, 438	2
211	214, 411	2
214	173, 452	2
216	109, 516	2
219	158, 467	2
221	129, 496	2
224	232, 393	2
226	274, 351	2
229	253, 372	2
231	81, 544	2
234	262, 363	2
236	311, 314	2
239	98, 527	2
241	209, 416	2
244	83, 542	2
246	229, 396	2
249	307, 318	2
251	251, 374	2
254	178, 447	2
256	19, 606	2
259	288, 337	2
261	211, 414	2
264	23, 602	2
266	309, 316	2
269	8, 617	2
271	296, 329	2
274	243, 382	2
276	151, 474	2
279	103, 522	2
281	119, 506	2
284	213, 412	2
286	111, 514	2
289	52, 573	2
291	216, 409	2
294	67, 558	2
296	196, 429	2
299	168, 457	2
301	51, 574	2
304	28, 597	2
306	219, 406	2
309	138, 487	2
311	11, 614	2
314	127, 498	2
316	116, 509	2
319	142, 483	2
321	96, 529	2
324	93, 532	2
326	49, 576	2
329	47, 578	2
331	306, 319	2
334	63, 562	2
336	89, 536	2
339	202, 423	2
341	16, 609	2
344	217, 408	2
346	4, 621	2
349	18, 607	2
351	149, 476	2
354	122, 503	2
356	206, 419	2
359	12, 613	2
361	189, 436	2
364	277, 348	2
366	84, 541	2
369	292, 333	2
371	104, 521	2
374	57, 568	2
376	249, 376	2
379	197, 428	2
381	106, 519	2
384	87, 538	2
386	289, 336	2
389	273, 352	2
391	184, 441	2
394	258, 367	2
396	204, 421	2
399	132, 493	2
401	276, 349	2
404	272, 353	2
406	6, 619	2
409	162, 463	2
411	236, 389	2
414	198, 427	2
416	284, 341	2
419	183, 442	2
421	304, 321	2
424	207, 418	2
426	176, 449	2
429	278, 347	2
431	94, 531	2
434	237, 388	2
436	136, 489	2
439	123, 502	2
441	241, 384	2
444	108, 517	2
446	221, 404	2
449	282, 343	2
451	76, 549	2
454	203, 422	2
456	194, 431	2
459	312, 313	2
461	36, 589	2
464	48, 577	2
466	141, 484	2
469	33, 592	2
471	121, 504	2
474	268, 357	2
476	24, 601	2
479	128, 497	2
481	294, 331	2
484	238, 387	2
486	64, 561	2
489	27, 598	2
491	41, 584	2
494	42, 583	2
496	21, 604	2
499	193, 432	2
501	124, 501	2
504	53, 572	2
506	231, 394	2
509	163, 462	2
511	164, 461	2
514	102, 523	2
516	59, 566	2
519	117, 508	2
521	79, 546	2
524	118, 507	2
526	224, 401	2
529	22, 603	2
531	131, 494	2
534	88, 537	2
536	264, 361	2
539	177, 448	2
541	159, 466	2
544	192, 433	2
546	179, 446	2
549	43, 582	2
551	301, 324	2
554	97, 528	2
556	31, 594	2
559	13, 612	2
561	261, 364	2
564	252, 373	2
566	259, 366	2
569	267, 358	2
571	279, 346	2
574	32, 593	2
576	201, 424	2
579	172, 453	2
581	69, 556	2
584	62, 563	2
586	161, 464	2
589	298, 327	2
591	266, 359	2
594	283, 342	2
596	246, 379	2
599	107, 518	2
601	101, 524	2
604	247, 378	2
606	169, 456	2
609	137, 488	2
611	61, 564	2
614	223, 402	2
616	166, 459	2
619	208, 417	2
621	146, 479	2
624	182, 443	2

Occurance	sixth residues	Total 6Rs with same occurance
2	1, 4, 6, 9, 11, 14, 16, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 46, 49, 51, 54, 56, 59, 61, 64, 66, 69, 71, 74, 76, 79, 81, 84, 86, 89, 91, 94, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 124, 126, 129, 131, 134, 136, 139, 141, 144, 146, 149, 151, 154, 156, 159, 161, 164, 166, 169, 171, 174, 176, 179, 181, 184, 186, 189, 191, 194, 196, 199, 201, 204, 206, 209, 211, 214, 216, 219, 221, 224, 226, 229, 231, 234, 236, 239, 241, 244, 246, 249, 251, 254, 256, 259, 261, 264, 266, 269, 271, 274, 276, 279, 281, 284, 286, 289, 291, 294, 296, 299, 301, 304, 306, 309, 311, 314, 316, 319, 321, 324, 326, 329, 331, 334, 336, 339, 341, 344, 346, 349, 351, 354, 356, 359, 361, 364, 366, 369, 371, 374, 376, 379, 381, 384, 386, 389, 391, 394, 396, 399, 401, 404, 406, 409, 411, 414, 416, 419, 421, 424, 426, 429, 431, 434, 436, 439, 441, 444, 446, 449, 451, 454, 456, 459, 461, 464, 466, 469, 471, 474, 476, 479, 481, 484, 486, 489, 491, 494, 496, 499, 501, 504, 506, 509, 511, 514, 516, 519, 521, 524, 526, 529, 531, 534, 536, 539, 541, 544, 546, 549, 551, 554, 556, 559, 561, 564, 566, 569, 571, 574, 576, 579, 581, 584, 586, 589, 591, 594, 596, 599, 601, 604, 606, 609, 611, 614, 616, 619, 621, 624	250
125	0	1