matter and antimatter
particle and antiparticle
divisor and antidivisor
thus, "repunit" and "antirepunit"
the "repunit" with "index" n in base b is b^(n-1)+b^(n-2)+b^(n-3)+...+b^2+b+1
the "antirepunit" with "index" n in base b is b^(n-1)-b^(n-2)-b^(n-3)-...-b^2-b-1
(although the "repunit" with "index" n in base b has length n in base b, but the "antirepunit" with "index" n in base b only has length n-1 in base b)
the "repunit" with "index" n can be prime only if n is prime, but the "antirepunit" with "index" n can be prime for every n>1
the "repunit" and "antirepunit" primes with "index" n in base b can be proven primes by N-1 test if and only if b^(n-1)-1 is at least 1/3 factorable
for base b=2, the "antirepunit" with all indices are 1, thus there are no "antirepunit" primes in base b=2
for base b=3, the "antirepunit" primes are exactly the generalized half Fermat primes base 3
for base b=4, the "antirepunit" primes are exactly the Wagstaff primes
smallest index n such that the "repunit" and "antirepunit" in base b is prime:
https://oeis.org/A084740 (repunit)
https://oeis.org/A360738 (repunit, n replaced by n-1)
https://oeis.org/A243404 (antirepunit, n replaced by n-1)
smallest base b such that the "repunit" and "antirepunit" with "index" n is prime:
https://oeis.org/A066180 (repunit, only consider prime n since the "repunit" with "index" n can be prime only if n is prime)
https://oeis.org/A243341 (antirepunit)
this is a list of indices n<=2000 such that the "repunit"/"antirepunit" with "index" n in base b is prime, for bases 2<=b<=400:
2, repunit: 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279,
2, antirepunit:
3, repunit: 3, 7, 13, 71, 103, 541, 1091, 1367, 1627,
3, antirepunit: 2, 3, 5, 17, 33, 65,
4, repunit: 2,
4, antirepunit: 2, 3, 4, 6, 7, 9, 10, 12, 16, 22, 31, 40, 51, 64, 84, 96, 100, 157, 174, 351, 855, 1309, 1770,
5, repunit: 3, 7, 11, 13, 47, 127, 149, 181, 619, 929,
5, antirepunit: 3, 7, 9, 63, 121, 187, 415, 765,
6, repunit: 2, 3, 7, 29, 71, 127, 271, 509, 1049,
6, antirepunit: 2, 3, 4, 6, 16, 26, 30, 74, 91, 140, 195, 243, 940,
7, repunit: 5, 13, 131, 149, 1699,
7, antirepunit: 3, 7, 57, 147,
8, repunit: 3,
8, antirepunit: 2, 4, 5, 6, 24, 74, 1034, 1170, 1901,
9, repunit:
9, antirepunit: 3, 5, 7, 17, 381, 387,
10, repunit: 2, 19, 23, 317, 1031,
10, antirepunit: 3, 15, 18, 36,
11, repunit: 17, 19, 73, 139, 907, 1907,
11, antirepunit: 3, 5, 19, 31, 193,
12, repunit: 2, 3, 5, 19, 97, 109, 317, 353, 701,
12, antirepunit: 2, 3, 4, 22, 40, 100, 158, 262, 1719,
13, repunit: 5, 7, 137, 283, 883, 991, 1021, 1193,
13, antirepunit: 565,
14, repunit: 3, 7, 19, 31, 41,
14, antirepunit: 2, 3, 5, 6, 17, 19, 30, 43, 83, 88, 147, 167, 591, 638, 942, 1249, 1305, 1670,
15, repunit: 3, 43, 73, 487,
15, antirepunit: 11, 181,
16, repunit: 2,
16, antirepunit: 3, 4, 10, 45, 84, 1024,
17, repunit: 3, 5, 7, 11, 47, 71, 419,
17, antirepunit: 3, 5, 7, 15, 29, 87, 319, 383, 563, 825, 1059, 1227,
18, repunit: 2,
18, antirepunit: 2, 5, 6, 9, 10, 16, 32, 68, 80, 89, 125, 266, 389, 1390,
19, repunit: 19, 31, 47, 59, 61, 107, 337, 1061,
19, antirepunit: 15, 55, 331,
20, repunit: 3, 11, 17, 1487,
20, antirepunit: 2, 3, 5, 6, 12, 42, 48, 75, 77, 82, 670, 852,
21, repunit: 3, 11, 17, 43, 271,
21, antirepunit: 3, 99, 103, 415,
22, repunit: 2, 5, 79, 101, 359, 857,
22, antirepunit: 3, 4, 447, 504,
23, repunit: 5,
23, antirepunit: 9, 45, 265, 345, 1857,
24, repunit: 3, 5, 19, 53, 71, 653, 661,
24, antirepunit: 2, 5, 6, 9, 27, 701, 816, 1105,
25, repunit:
25, antirepunit: 3, 9, 1351,
26, repunit: 7, 43, 347,
26, antirepunit: 6, 94, 334, 584, 756, 1515, 1634,
27, repunit: 3,
27, antirepunit: 3, 5, 13, 33, 85, 109, 231, 751,
28, repunit: 2, 5, 17, 457, 1423,
28, antirepunit: 4, 6, 10, 13, 22, 72, 1752,
29, repunit: 5, 151,
29, antirepunit: 3, 803, 1403,
30, repunit: 2, 5, 11, 163, 569, 1789,
30, antirepunit: 2, 7, 8, 51, 69, 87, 372, 634, 1636,
31, repunit: 7, 17, 31,
31, antirepunit: 3, 51, 163, 261, 385, 483, 751, 1123,
32, repunit:
32, antirepunit: 2, 3, 6, 24, 28, 54, 176, 349, 1009,
33, repunit: 3, 197,
33, antirepunit: 253, 1881,
34, repunit: 13, 1493,
34, antirepunit: 4, 25, 172, 994, 1843,
35, repunit: 313, 1297,
35, antirepunit: 21, 23, 1881,
36, repunit: 2,
36, antirepunit: 3, 15, 49, 101,
37, repunit: 13, 71, 181, 251, 463, 521,
37, antirepunit: 7, 19, 175, 187,
38, repunit: 3, 7, 401, 449,
38, antirepunit: 2, 5, 8, 36,
39, repunit: 349, 631,
39, antirepunit: 3, 7, 9, 13, 163, 355, 663, 935,
40, repunit: 2, 5, 7, 19, 23, 29, 541, 751, 1277,
40, antirepunit: 3, 6, 13, 27, 39, 51, 166, 372, 705, 720, 1332, 1417, 1542,
41, repunit: 3, 83, 269, 409, 1759,
41, antirepunit: 5, 9, 15, 19, 295,
42, repunit: 2, 1319,
42, antirepunit: 2, 3, 6, 7, 116, 141, 191, 645, 1897,
43, repunit: 5, 13,
43, antirepunit: 25,
44, repunit: 5, 31, 167,
44, antirepunit: 2, 4, 23, 92, 186, 662, 1107,
45, repunit: 19, 53, 167,
45, antirepunit: 3, 5, 15,
46, repunit: 2, 7, 19, 67, 211, 433,
46, antirepunit: 3, 30, 84,
47, repunit: 127,
47, antirepunit: 3, 253, 283,
48, repunit: 19, 269, 349, 383, 1303,
48, antirepunit: 2, 5, 16, 57, 65, 285, 466, 609, 1357,
49, repunit:
49, antirepunit: 3, 9, 21, 925, 1065, 1713,
50, repunit: 3, 5, 127, 139, 347, 661,
50, antirepunit: 4, 5, 6, 27, 57, 151, 204, 665, 734,
51, repunit:
51, antirepunit: 3, 5, 21, 153, 215,
52, repunit: 2, 103, 257,
52, antirepunit: 18, 69, 151, 558, 1089, 1686,
53, repunit: 11, 31, 41, 1571,
53, antirepunit: 25, 85, 221,
54, repunit: 3, 389,
54, antirepunit: 2, 3, 4, 14, 38, 43, 58, 278, 310, 1459, 1567,
55, repunit: 17, 41, 47, 151, 839,
55, antirepunit: 3, 79, 1585,
56, repunit: 7, 157,
56, antirepunit: 3, 4, 5, 11, 20, 29, 65, 161, 694, 1771, 1904,
57, repunit: 3, 17, 109, 151, 211, 661,
57, antirepunit: 3, 29, 45, 63, 91, 459, 703, 1519,
58, repunit: 2, 41,
58, antirepunit: 4, 6, 18, 132, 208, 418,
59, repunit: 3, 13, 479,
59, antirepunit: 5, 235, 457, 549,
60, repunit: 2, 7, 11, 53, 173,
60, antirepunit: 2, 3, 5, 23, 25, 51, 57, 67, 993, 1032, 1636,
61, repunit: 7, 37, 107, 769,
61, antirepunit: 3, 9, 31, 259,
62, repunit: 3, 5, 17, 47, 163, 173, 757,
62, antirepunit: 2, 5, 6, 7, 45, 56, 460, 970,
63, repunit: 5,
63, antirepunit: 5, 37, 981,
64, repunit:
64, antirepunit: 12, 357, 1168, 1308,
65, repunit: 19, 29, 631,
65, antirepunit: 3, 11, 115, 291,
66, repunit: 2, 3, 7, 19,
66, antirepunit: 3, 8, 648, 818,
67, repunit: 19, 367, 1487,
67, antirepunit: 3, 33,
68, repunit: 5, 7, 107, 149,
68, antirepunit: 2, 6, 9, 18, 20, 21, 45, 68, 81, 98, 133, 642,
69, repunit: 3, 61,
69, antirepunit: 3, 7, 25, 241, 531,
70, repunit: 2, 29, 59, 541, 761, 1013,
70, antirepunit: 556, 1075,
71, repunit: 3, 31, 41, 157, 1583,
71, antirepunit: 3, 5, 61,
72, repunit: 2, 7, 13, 109, 227,
72, antirepunit: 2, 6, 7, 127, 476, 1801,
73, repunit: 5, 7,
73, antirepunit: 9, 661,
74, repunit: 5, 191,
74, antirepunit: 2, 11, 312, 726, 1275,
75, repunit: 3, 19, 47, 73, 739,
75, antirepunit: 13, 21, 25, 223, 1587,
76, repunit: 41, 157, 439, 593,
76, antirepunit: 4, 10, 16, 21, 649,
77, repunit: 3, 5, 37,
77, antirepunit: 3, 5, 15, 19, 29, 159, 563, 1633,
78, repunit: 2, 3, 101, 257, 1949,
78, antirepunit: 4, 5, 12, 237, 245,
79, repunit: 5, 109, 149, 659,
79, antirepunit: 7, 1327,
80, repunit: 3, 7,
80, antirepunit: 2, 25, 49, 110, 128, 153, 323, 480, 515, 669, 867, 967, 1988,
81, repunit:
81, antirepunit: 5, 69, 721,
82, repunit: 2, 23, 31, 41,
82, antirepunit: 7, 16, 48, 67, 175, 277, 1819,
83, repunit: 5,
83, antirepunit: 681,
84, repunit: 17,
84, antirepunit: 2, 3, 5, 10, 22, 39, 95, 110, 571, 1780,
85, repunit: 5, 19,
85, antirepunit: 7, 1249,
86, repunit: 11, 43, 113, 509, 1069,
86, antirepunit: 3, 5, 16,
87, repunit: 7, 17,
87, antirepunit: 3, 5, 11, 25, 29, 55, 67, 135, 295, 1347, 1611,
88, repunit: 2, 61, 577,
88, antirepunit: 4, 10, 21, 24, 250, 288,
89, repunit: 3, 7, 43, 47, 71, 109, 571,
89, antirepunit: 133, 151, 183, 241,
90, repunit: 3, 19, 97,
90, antirepunit: 2, 3, 5, 7, 14, 36, 160, 775, 1368,
91, repunit:
91, antirepunit: 141, 351, 1663,
92, repunit: 439,
92, antirepunit: 5, 7, 22, 36, 92, 164, 484,
93, repunit: 7,
93, antirepunit: 5, 77, 93,
94, repunit: 5, 13, 37, 1789,
94, antirepunit: 3, 69, 79, 987,
95, repunit: 7, 523,
95, antirepunit: 3, 5, 7, 37, 193,
96, repunit: 2,
96, antirepunit: 85, 105, 190, 296, 684,
97, repunit: 17, 37, 1693,
97, antirepunit: 3, 31, 61, 133,
98, repunit: 13, 47,
98, antirepunit: 2, 138,
99, repunit: 3, 5, 37, 47, 383,
99, antirepunit: 7, 15, 69, 85, 139, 249,
100, repunit: 2,
100, antirepunit: 6, 9, 34, 36, 82, 106, 870,
101, repunit: 3, 337, 677, 1181,
101, antirepunit: 3, 5, 461, 539,
102, repunit: 2, 59, 673,
102, antirepunit: 2, 3, 9, 45, 115, 158, 1072,
103, repunit: 19, 313, 1549,
103, antirepunit: 9,
104, repunit: 97, 263,
104, antirepunit: 2, 3, 6, 7, 11, 14, 16, 21, 28, 37, 43, 458, 1117,
105, repunit: 3, 19, 389,
105, antirepunit: 17, 173, 341,
106, repunit: 2, 149,
106, antirepunit: 15, 21, 55, 1039,
107, repunit: 17,
107, antirepunit: 25, 645,
108, repunit: 2, 449,
108, antirepunit: 2, 493, 761,
109, repunit: 17, 1193,
109, antirepunit: 9, 15, 33,
110, repunit: 3, 5, 13, 691, 1721,
110, antirepunit: 2, 4, 7, 8, 18, 22, 88, 195, 312, 340, 511,
111, repunit: 3, 337,
111, antirepunit: 5, 9, 19, 21, 93, 95,
112, repunit: 2, 79, 107, 701, 1697,
112, antirepunit: 4, 12, 16, 40, 42,
113, repunit: 23, 37,
113, antirepunit: 5,
114, repunit: 29, 43, 73, 89, 569, 709,
114, antirepunit: 2, 5, 9, 25, 1235,
115, repunit: 7, 241, 1409,
115, antirepunit: 3, 19, 27,
116, repunit: 59,
116, antirepunit: 3, 19, 50, 99, 565, 694, 710,
117, repunit: 3, 5, 19, 31,
117, antirepunit: 37, 57, 193,
118, repunit: 5, 163, 193,
118, antirepunit: 4, 10, 21, 649,
119, repunit: 3, 19, 827,
119, antirepunit: 5, 37, 63, 131,
120, repunit: 5, 373, 1693,
120, antirepunit: 6, 13, 15, 204, 1992,
121, repunit:
121, antirepunit: 3, 13, 25, 45, 633,
122, repunit: 5, 7, 67,
122, antirepunit: 6, 120, 606,
123, repunit: 43, 563, 1693,
123, antirepunit: 37, 353,
124, repunit: 599,
124, antirepunit: 45, 342, 727, 1014,
125, repunit:
125, antirepunit: 9, 17, 25, 1421,
126, repunit: 2, 7, 37, 59, 127,
126, antirepunit: 3, 414,
127, repunit: 5, 23, 31, 167,
127, antirepunit: 3, 87, 159, 273,
128, repunit: 7,
128, antirepunit: 2, 16, 25, 153, 232, 257, 938, 1218, 1870,
129, repunit: 5, 17, 109,
129, antirepunit: 41, 1581,
130, repunit: 2, 37,
130, antirepunit: 13, 16, 112, 513, 522,
131, repunit: 3, 31, 263,
131, antirepunit: 3, 21, 919, 1681, 1813,
132, repunit: 47, 71,
132, antirepunit: 2, 3, 11, 14, 60, 76, 342, 1069,
133, repunit: 13, 599, 991, 1181,
133, antirepunit: 21, 37,
134, repunit: 5, 37, 353,
134, antirepunit: 4, 22, 77, 110, 227, 798, 1625,
135, repunit: 1171,
135, antirepunit: 3, 13, 23, 149, 169, 185,
136, repunit: 2, 227, 293,
136, antirepunit: 156,
137, repunit: 11, 19, 1009,
137, antirepunit: 69,
138, repunit: 2, 3, 61,
138, antirepunit: 2, 4, 152, 312, 990,
139, repunit: 163, 173,
139, antirepunit: 3, 13, 39, 273, 465,
140, repunit: 79, 577, 1721,
140, antirepunit: 2, 6, 9, 14, 19, 26, 40, 128, 1311,
141, repunit: 3, 23, 173,
141, antirepunit: 3, 31,
142, repunit: 1231,
142, antirepunit: 3, 15, 46, 475, 634,
143, repunit: 3, 5,
143, antirepunit:
144, repunit:
144, antirepunit: 8, 21, 78, 241, 298, 361, 1258,
145, repunit: 5, 31,
145, antirepunit: 3, 553, 1821,
146, repunit: 7, 83, 857,
146, antirepunit: 3, 5, 10, 16, 41, 109, 681, 1149,
147, repunit: 3, 17, 19, 37, 163, 571, 983,
147, antirepunit: 5,
148, repunit: 2, 1201,
148, antirepunit: 12, 313, 1816,
149, repunit: 7, 13, 17, 317,
149, antirepunit: 3,
150, repunit: 2, 3,
150, antirepunit: 2, 3, 6, 9, 11, 23, 147, 986, 1301,
151, repunit: 13, 29, 127,
151, antirepunit: 19,
152, repunit:
152, antirepunit: 2, 60, 162, 332, 756,
153, repunit: 3,
153, antirepunit: 5, 805, 1097, 1933,
154, repunit: 5,
154, antirepunit: 3, 45, 69, 117, 951, 1986,
155, repunit: 3, 61, 449,
155, antirepunit: 3, 5, 71, 203, 423,
156, repunit: 2, 7, 199,
156, antirepunit: 3, 4, 8, 18, 29, 91, 100, 111, 556, 918, 1203,
157, repunit: 17, 107,
157, antirepunit: 7, 9, 307, 433,
158, repunit: 7, 79, 109,
158, antirepunit: 2, 9, 229, 401,
159, repunit: 13, 89, 577, 1433,
159, antirepunit: 3, 1479,
160, repunit: 7, 17, 151, 1487,
160, antirepunit: 3, 12, 19,
161, repunit: 3, 37, 263,
161, antirepunit: 3, 53, 103, 361, 669,
162, repunit: 2, 3, 5, 311, 1087,
162, antirepunit: 4, 12, 62, 82, 817,
163, repunit: 7, 43, 241, 1637,
163, antirepunit: 21, 85,
164, repunit: 3, 5, 19, 101, 347, 383,
164, antirepunit: 2, 3, 8, 21, 110, 116, 791,
165, repunit: 5, 53, 109,
165, antirepunit: 3,
166, repunit: 2, 137, 353, 1289,
166, antirepunit: 4, 51, 295,
167, repunit: 3, 19, 373, 1213,
167, antirepunit: 9, 19, 739, 1817,
168, repunit: 3, 823,
168, antirepunit: 2, 4, 12, 82, 340, 422, 1366,
169, repunit:
169, antirepunit: 19, 27,
170, repunit: 17, 23, 79, 1237,
170, antirepunit: 3, 4, 7, 12, 26, 1958,
171, repunit: 181,
171, antirepunit: 5, 11, 15, 781, 885,
172, repunit: 2, 5, 11, 37, 47,
172, antirepunit: 3, 12, 19, 142, 162, 183, 240, 276, 588, 597,
173, repunit: 3,
173, antirepunit:
174, repunit:
174, antirepunit: 2, 6, 8, 30, 200, 395, 446,
175, repunit: 5, 167, 1699,
175, antirepunit: 3, 7, 25,
176, repunit: 3, 151,
176, antirepunit:
177, repunit: 5, 31,
177, antirepunit: 3, 7, 385, 1155, 1683,
178, repunit: 2, 347, 911,
178, antirepunit: 48, 57, 228,
179, repunit: 19,
179, antirepunit: 5, 13, 21, 109, 119, 825,
180, repunit: 2, 7, 43, 1913,
180, antirepunit: 2, 10, 140, 679,
181, repunit: 17, 19, 157,
181, antirepunit: 3, 9, 529,
182, repunit: 167, 509, 1609,
182, antirepunit: 2, 3, 7, 33, 212, 873,
183, repunit: 223,
183, antirepunit: 33, 77, 89,
184, repunit:
184, antirepunit: 6, 1672,
185, repunit:
185, antirepunit: 3, 11, 91, 1923,
186, repunit: 7, 47, 223, 271,
186, antirepunit: 5, 11, 880,
187, repunit: 37, 617,
187, antirepunit: 3, 7, 49,
188, repunit: 3, 59,
188, antirepunit: 4, 61, 76,
189, repunit: 3, 17,
189, antirepunit: 3, 289,
190, repunit: 2, 13, 89, 157, 643, 673,
190, antirepunit: 4, 19, 27, 34, 909,
191, repunit: 17, 1399,
191, antirepunit: 35,
192, repunit: 2, 3, 7, 613,
192, antirepunit: 2, 3, 6, 17, 24, 368, 495, 1809,
193, repunit: 5, 317,
193, antirepunit: 13,
194, repunit: 3,
194, antirepunit: 2, 3, 7, 8, 19, 20, 128, 1052,
195, repunit: 11, 73, 379,
195, antirepunit: 7, 27,
196, repunit: 2,
196, antirepunit: 3, 91,
197, repunit: 31, 47, 283,
197, antirepunit: 3, 221, 333,
198, repunit: 2, 5,
198, antirepunit: 2, 16, 62, 64, 70, 90, 250,
199, repunit: 577, 1831,
199, antirepunit: 61, 1711,
200, repunit:
200, antirepunit: 2, 3, 4, 132, 143, 1664,
201, repunit: 271, 353,
201, antirepunit: 435,
202, repunit: 37, 829,
202, antirepunit: 30, 34,
203, repunit: 3, 7, 31,
203, antirepunit: 1009,
204, repunit: 5, 359,
204, antirepunit: 3, 4, 5, 11, 42, 66, 117, 239,
205, repunit: 19, 61,
205, antirepunit: 37, 469,
206, repunit: 3, 7,
206, antirepunit: 20, 30, 66, 108, 109, 156,
207, repunit: 13, 17,
207, antirepunit: 3, 5, 13, 721,
208, repunit: 5, 7, 37, 1229, 1583,
208, antirepunit: 4, 22, 57, 60, 88, 297, 1582,
209, repunit: 3, 59, 449, 613,
209, antirepunit: 19, 27, 309,
210, repunit: 2,
210, antirepunit: 3, 4, 6, 8, 9, 291, 735, 804,
211, repunit: 41,
211, antirepunit: 465, 481, 1753,
212, repunit: 11,
212, antirepunit: 2, 15, 63, 85, 350, 1033,
213, repunit: 137,
213, antirepunit:
214, repunit: 191,
214, antirepunit: 13, 51, 748,
215, repunit: 3, 73, 461, 751,
215, antirepunit: 7, 15,
216, repunit:
216, antirepunit: 3, 18, 19, 48, 115, 193, 1695,
217, repunit: 281, 821,
217, antirepunit: 7, 645,
218, repunit: 3, 331, 701, 971, 1277,
218, antirepunit: 158,
219, repunit: 13, 107, 223, 1307,
219, antirepunit: 3, 5,
220, repunit: 7, 19, 47, 307,
220, antirepunit: 3, 7, 13, 79, 291, 903,
221, repunit: 7, 13, 29, 139, 223, 439,
221, antirepunit: 3, 53, 411,
222, repunit: 2, 5, 151, 271,
222, antirepunit: 8, 21, 37, 128, 339,
223, repunit: 239, 241, 449,
223, antirepunit: 21,
224, repunit: 11, 401,
224, antirepunit: 2, 30, 45, 506, 1079,
225, repunit:
225, antirepunit: 5, 11, 523,
226, repunit: 2, 127, 619,
226, antirepunit: 3, 4, 31, 243,
227, repunit: 5, 1061,
227, antirepunit: 15, 1979,
228, repunit: 2, 461,
228, antirepunit: 2, 9, 29, 48,
229, repunit: 11, 29,
229, antirepunit: 213,
230, repunit:
230, antirepunit: 2, 4, 5, 8, 13, 14, 108, 242, 1496,
231, repunit: 3,
231, antirepunit: 3, 5, 503,
232, repunit: 2, 953,
232, antirepunit: 3, 18, 61, 181, 249, 831,
233, repunit: 113,
233, antirepunit: 5, 13, 181,
234, repunit: 61, 89, 97, 1381,
234, antirepunit: 2, 3, 5, 6, 7, 11, 21, 183, 367, 570, 1560,
235, repunit: 7, 19, 53, 227, 307,
235, antirepunit:
236, repunit: 3, 197, 467, 587,
236, antirepunit: 4, 205, 1411,
237, repunit: 7,
237, antirepunit: 3, 263, 477, 969,
238, repunit: 2, 7, 67, 1093, 1381,
238, antirepunit: 37, 780,
239, repunit: 5, 109,
239, antirepunit: 7, 249, 371,
240, repunit: 2, 109, 227, 271, 941,
240, antirepunit: 2, 5, 6, 7, 66,
241, repunit: 17, 31,
241, antirepunit: 3, 163, 1183,
242, repunit: 19, 541,
242, antirepunit: 2, 3, 7, 9, 25, 71, 92, 202, 609, 611, 1714, 1879,
243, repunit:
243, antirepunit: 1401,
244, repunit:
244, antirepunit: 4, 16, 112,
245, repunit: 3,
245, antirepunit: 3, 9, 15, 27,
246, repunit: 3, 37, 251,
246, antirepunit: 5, 1774,
247, repunit: 17, 331,
247, antirepunit: 3, 31, 717,
248, repunit: 41, 197,
248, antirepunit:
249, repunit: 5, 1249,
249, antirepunit: 3, 19, 127,
250, repunit: 2, 127, 1889,
250, antirepunit: 4, 18, 19, 22, 37,
251, repunit: 7, 13, 17, 89, 227, 461,
251, antirepunit: 135,
252, repunit: 541, 947,
252, antirepunit: 2, 32, 78, 150, 415, 1806,
253, repunit: 19,
253, antirepunit:
254, repunit: 5, 19, 79, 283, 563, 883,
254, antirepunit: 5, 19, 27, 358, 911, 1031,
255, repunit: 5, 151, 701,
255, antirepunit: 5, 7, 57,
256, repunit: 2,
256, antirepunit: 435, 1864,
257, repunit: 23, 59, 487, 967,
257, antirepunit: 21,
258, repunit: 11, 31, 1433,
258, antirepunit: 2, 10, 13, 14, 21, 66, 432, 872, 1165,
259, repunit:
259, antirepunit: 3, 9,
260, repunit: 5, 13, 109, 149, 239, 499,
260, antirepunit: 3, 6, 48, 75, 98, 209, 916, 1489, 1632,
261, repunit: 31, 37,
261, antirepunit: 19,
262, repunit: 2, 197,
262, antirepunit: 7, 135, 313, 1633,
263, repunit: 5, 19,
263, antirepunit: 49,
264, repunit: 7, 13,
264, antirepunit: 2, 3, 36, 92, 416, 1630,
265, repunit: 5, 241,
265, antirepunit: 3,
266, repunit: 3, 7, 113,
266, antirepunit: 3, 6, 8, 36, 209, 223, 431, 1266,
267, repunit: 13, 251, 1109,
267, antirepunit: 5,
268, repunit: 2, 11, 19, 29, 47,
268, antirepunit: 4, 24, 25, 325,
269, repunit:
269, antirepunit: 3, 7, 29, 45, 141, 363,
270, repunit: 2, 241,
270, antirepunit: 2, 13, 37, 364, 1483, 1954,
271, repunit: 41, 79, 97, 313, 709, 829, 1213,
271, antirepunit: 15, 463,
272, repunit: 3, 11, 53,
272, antirepunit: 2, 7, 10, 155, 658, 825, 845,
273, repunit: 37,
273, antirepunit: 105,
274, repunit: 5, 17,
274, antirepunit: 4, 10, 73, 682, 1932,
275, repunit: 5, 23, 317, 881,
275, antirepunit: 15, 951,
276, repunit: 2, 31,
276, antirepunit: 36, 54, 735,
277, repunit: 5, 19, 109, 1621,
277, antirepunit: 7, 543, 1125,
278, repunit: 3, 47,
278, antirepunit: 2, 6, 8, 12, 38, 92, 94, 148, 404, 792, 1412, 1458,
279, repunit: 3, 47,
279, antirepunit:
280, repunit: 2, 7, 1019,
280, antirepunit: 75, 450,
281, repunit:
281, antirepunit: 15, 35, 671,
282, repunit: 2, 7, 13, 1201,
282, antirepunit: 2, 3, 8, 9, 10, 22, 67, 111, 403, 688, 752, 1542,
283, repunit: 29, 31, 719,
283, antirepunit: 169,
284, repunit:
284, antirepunit: 2, 5, 18, 405, 626,
285, repunit: 5, 37, 53,
285, antirepunit: 111, 433,
286, repunit: 13, 487,
286, antirepunit: 3, 9, 49, 189, 1054, 1561,
287, repunit: 3, 23,
287, antirepunit: 5, 9,
288, repunit: 3, 5, 47, 283,
288, antirepunit: 6, 12, 20, 214, 958, 1170, 1202,
289, repunit:
289, antirepunit: 3, 135, 231, 579, 1023,
290, repunit: 3, 7,
290, antirepunit: 9, 50, 122, 1080,
291, repunit: 13, 163,
291, antirepunit: 3, 5, 185, 309, 1079, 1385,
292, repunit: 2, 5, 1019,
292, antirepunit: 12, 64, 952,
293, repunit: 3, 31,
293, antirepunit: 5,
294, repunit: 7, 59, 269,
294, antirepunit: 2, 5, 9, 89, 161, 191, 195, 442, 810, 1032,
295, repunit: 17, 23, 73,
295, antirepunit: 3, 111,
296, repunit: 41,
296, antirepunit: 5, 24, 78, 109, 435, 468, 895, 1878, 1969,
297, repunit: 17,
297, antirepunit: 3, 17,
298, repunit: 53,
298, antirepunit: 16, 34, 600,
299, repunit: 113, 383,
299, antirepunit: 3, 9, 61, 259,
300, repunit: 7, 839,
300, antirepunit: 6, 9,
301, repunit: 193,
301, antirepunit: 85,
302, repunit: 37, 101,
302, antirepunit: 3, 4, 13, 19, 48, 110, 1406, 1597,
303, repunit: 7, 19, 173,
303, antirepunit: 9, 425,
304, repunit: 5, 67, 179, 479,
304, antirepunit: 3,
305, repunit: 617,
305, antirepunit: 855,
306, repunit: 2,
306, antirepunit: 3, 6, 130, 630,
307, repunit: 53, 1201,
307, antirepunit: 3, 9, 133,
308, repunit: 5,
308, antirepunit: 2, 30, 90, 137, 341, 528, 1980,
309, repunit: 3,
309, antirepunit: 5, 63,
310, repunit: 2, 43,
310, antirepunit: 3, 4, 19, 45,
311, repunit:
311, antirepunit: 9, 29,
312, repunit: 2,
312, antirepunit: 2, 26, 66, 92, 95,
313, repunit: 109, 173, 1193,
313, antirepunit: 57, 73,
314, repunit: 3, 67, 1663, 1721,
314, antirepunit: 2, 4, 21, 57, 1045, 1215,
315, repunit: 17, 19, 23, 67,
315, antirepunit: 3, 5, 9, 89,
316, repunit: 2, 41, 307, 1801, 1861,
316, antirepunit: 10, 279,
317, repunit: 157,
317, antirepunit: 1161,
318, repunit: 1193,
318, antirepunit: 2, 5, 8, 14, 102, 114, 224, 854, 1224,
319, repunit: 11, 13, 149,
319, antirepunit: 7, 13,
320, repunit: 7, 31, 37, 1549, 1571,
320, antirepunit: 3, 30, 49, 66, 73, 157, 777,
321, repunit: 647,
321, antirepunit: 19,
322, repunit: 227,
322, antirepunit: 4, 12,
323, repunit: 283, 619,
323, antirepunit: 5, 85,
324, repunit:
324, antirepunit: 3, 4, 27, 451, 596,
325, repunit: 31, 1039,
325, antirepunit: 9,
326, repunit:
326, antirepunit: 6, 83, 1971,
327, repunit: 5, 17,
327, antirepunit:
328, repunit: 67,
328, antirepunit: 16, 162, 177, 493,
329, repunit: 3,
329, antirepunit: 67, 301, 831, 1433,
330, repunit: 2, 79, 241, 1009,
330, antirepunit: 12, 13, 18, 28, 47, 57, 80, 144, 255, 677, 767,
331, repunit:
331, antirepunit: 3, 1995,
332, repunit: 3, 19, 43, 67, 101,
332, antirepunit: 2, 3, 29, 344, 681, 751, 1241,
333, repunit:
333, antirepunit: 45,
334, repunit: 79, 113,
334, antirepunit: 7, 12, 1087,
335, repunit: 17, 73, 197, 593,
335, antirepunit: 181, 331,
336, repunit: 2, 3, 61, 463, 1103, 1151,
336, antirepunit: 3, 5, 45, 500,
337, repunit: 5, 19,
337, antirepunit: 655,
338, repunit: 157, 277,
338, antirepunit: 2, 5, 105, 225, 1049,
339, repunit: 11, 97, 571,
339, antirepunit: 5, 7, 911, 993,
340, repunit: 5, 659, 887,
340, antirepunit: 3, 4, 60, 81, 168, 699,
341, repunit: 7,
341, antirepunit: 9, 465,
342, repunit: 3, 109, 811,
342, antirepunit: 7, 86, 367, 375, 434,
343, repunit:
343, antirepunit:
344, repunit: 3, 23,
344, antirepunit: 3, 4, 7, 17, 31, 38, 360, 531, 778,
345, repunit: 103, 613,
345, antirepunit: 5, 21,
346, repunit: 2, 67,
346, antirepunit: 6, 109, 411, 1794,
347, repunit: 337, 401,
347, antirepunit: 5, 9, 15, 1493,
348, repunit: 2, 3, 383, 1223,
348, antirepunit: 2, 462,
349, repunit: 7, 17, 107,
349, antirepunit: 25,
350, repunit: 7, 227,
350, antirepunit: 2, 3, 168,
351, repunit: 3, 17,
351, antirepunit: 3, 41, 305,
352, repunit: 2, 5,
352, antirepunit: 3, 60, 91, 120, 1591,
353, repunit: 7,
353, antirepunit:
354, repunit: 79, 211, 307,
354, antirepunit: 2, 8, 12, 13, 15, 28, 47, 103, 144, 987, 1662,
355, repunit: 11, 13, 17, 137, 1109,
355, antirepunit: 3, 27, 73, 109,
356, repunit: 419,
356, antirepunit: 4, 5, 25,
357, repunit: 3,
357, antirepunit: 5, 207, 311, 413, 499,
358, repunit: 2, 1499,
358, antirepunit:
359, repunit: 5, 59, 101, 383,
359, antirepunit: 3, 7, 39, 199, 1741,
360, repunit:
360, antirepunit: 2, 11, 295, 372, 437, 727,
361, repunit:
361, antirepunit: 3, 13,
362, repunit: 199,
362, antirepunit: 3, 25, 49, 61, 240, 330, 1990,
363, repunit: 7, 13, 197,
363, antirepunit: 25, 189,
364, repunit: 17, 151, 1613,
364, antirepunit: 4, 9, 31, 49,
365, repunit: 11, 17,
365, antirepunit: 3, 7,
366, repunit: 2, 11, 19,
366, antirepunit: 5, 6, 49, 59, 349,
367, repunit: 239,
367, antirepunit: 9, 31, 49,
368, repunit: 17, 173, 787, 1699,
368, antirepunit: 2, 4, 13, 16, 34, 104, 153, 205, 245, 328, 493,
369, repunit: 3, 5, 19,
369, antirepunit: 7, 33, 193, 1999,
370, repunit: 19,
370, antirepunit: 7, 22, 58, 282,
371, repunit:
371, antirepunit: 5, 9, 1801,
372, repunit: 2, 67,
372, antirepunit: 42, 43, 160,
373, repunit: 5, 13, 23,
373, antirepunit:
374, repunit: 71, 283,
374, antirepunit: 2, 3, 7, 8, 20, 25, 29, 105, 356, 654, 926,
375, repunit: 1993,
375, antirepunit: 3, 45, 187, 1213,
376, repunit: 1223,
376, antirepunit: 78, 285,
377, repunit: 43, 1621,
377, antirepunit: 7, 13, 367,
378, repunit: 2, 3, 73, 1091,
378, antirepunit: 4, 16, 1265, 1580,
379, repunit: 17, 31,
379, antirepunit: 3, 15, 843, 1965,
380, repunit:
380, antirepunit: 2, 10, 76, 192, 271, 1620, 1676,
381, repunit: 3, 7, 53, 599, 1867,
381, antirepunit: 3, 45, 351, 495,
382, repunit: 2, 13, 67, 719,
382, antirepunit: 4, 30, 39, 49, 70, 1920,
383, repunit: 3, 17, 199, 307, 1093,
383, antirepunit:
384, repunit:
384, antirepunit: 2, 10, 25, 31, 367, 622,
385, repunit:
385, antirepunit: 9, 397, 829,
386, repunit: 83,
386, antirepunit: 3, 5, 125, 451, 1086,
387, repunit: 31, 71, 101,
387, antirepunit: 3, 5, 7, 17, 175, 499, 611,
388, repunit: 2, 31, 197, 293,
388, antirepunit: 73,
389, repunit: 11, 19,
389, antirepunit: 5,
390, repunit: 11, 79, 787, 1153,
390, antirepunit: 2, 4, 9, 15, 18, 118, 242, 746, 804,
391, repunit:
391, antirepunit: 159,
392, repunit: 3, 103, 317, 1163,
392, antirepunit: 3, 7, 8, 47, 83,
393, repunit: 5,
393, antirepunit: 81, 649,
394, repunit:
394, antirepunit: 3, 108, 438, 898, 1882,
395, repunit: 3, 7, 613,
395, antirepunit: 5, 9, 313, 1841,
396, repunit: 2,
396, antirepunit: 3, 5, 58,
397, repunit: 5, 13,
397, antirepunit: 3, 139,
398, repunit: 3, 11, 13, 29, 743,
398, antirepunit: 2, 4, 25, 114, 200, 1764,
399, repunit: 7, 19, 1439,
399, antirepunit: 1155,
400, repunit: 2,
400, antirepunit: 4, 7, 10, 480, 840,