# 唯一素数

（重定向自唯一質數

${\displaystyle {\frac {\Phi _{n}(10)}{\gcd(\Phi _{n}(10),n)}}=p^{c}}$

13
211
337
4101
109,091
129,901
9333,667
14909,091
2499,990,001
36999,999,000,001
489,999,999,900,000,001
38909,090,909,090,909,091
191,111,111,111,111,111,111
2311,111,111,111,111,111,111,111
39900,900,900,900,990,990,990,991
62909,090,909,090,909,090,909,090,909,091
120100,009,999,999,899,989,999,000,000,010,001
15010,000,099,999,999,989,999,899,999,000,000,000,100,001
1069,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,091
93900,900,900,900,900,900,900,900,900,900,990,990,990,990,990,990,990,990,990,991
134909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,090,909,091
294142,857,157,142,857,142,856,999,999,985,714,285,714,285,857,142,857,142,855,714,285,571,428,571,428,572,857,143
196999,999,999,999,990,000,000,000,000,099,999,999,999,999,000,000,000,000,009,999,999,999,999,900,000,000,000,001

## 二進制中的唯一質數

3, 5, 7, 11, 13, 17, 19, 31, 41, 43, 73, 127, 151, 241, 257, 331, 337, 683, ...... （OEIS中的数列A144755）：

2311
45101
37111
10111011
12131101
8171 0001
18191 0011
5311 1111
204110 1001
144310 1011
973100 1001
7127111 1111
151511001 0111
242411111 0001
162571 0000 0001
303311 0100 1011
213371 0101 0001
2268310 1010 1011
262,7311010 1010 1011
425,4191 0101 0010 1011
138,1911 1111 1111 1111
3443,6911010 1010 1010 1011
4061,6811111 0000 1111 0001
3265,5371 0000 0000 0000 0001
5487,2111 0101 0100 1010 1011
17131,0711 1111 1111 1111 1111
38174,76310 1010 1010 1010 1011
27262,657100 0000 0010 0000 0001
19524,287111 1111 1111 1111 1111
33599,4791001 0010 0101 1011 0111
462,796,20310 1010 1010 1010 1010 1011
5615,790,3211111 0000 1111 0000 1111 0001
9018,837,0011 0001 1111 0110 1110 0000 1001
7822,366,8911 0101 0101 0100 1010 1010 1011
62715,827,88310 1010 1010 1010 1010 1010 1010 1011
312,147,483,647111 1111 1111 1111 1111 1111 1111 1111
804,278,255,3611111 1111 0000 0000 1111 1111 0000 0001
1204,562,284,5611 0000 1111 1110 1110 1111 0000 0001 0001
12677,158,673,9291 0001 1111 0111 0000 0011 1110 1110 0000 1001
1501,133,836,730,4011 0000 0111 1111 1101 1110 1111 1000 0000 0010 0001
862,932,031,007,40310 1010 1010 1010 1010 1010 1010 1010 1010 1010 1011
984,363,953,127,29711 1111 1000 0000 1111 1110 0000 0011 1111 1000 0001
494,432,676,798,593100 0000 1000 0001 0000 0010 0000 0100 0000 1000 0001
6910,052,678,938,0391001 0010 0100 1001 0010 0101 1011 0110 1101 1011 0111
65145,295,143,558,1111000 0100 0010 0101 0010 1001 0110 1011 0101 1011 1101 1111
17496,076,791,871,613,6111 0101 0101 0101 0101 0101 0101 0100 1010 1010 1010 1010 1010 1010 1011
77581,283,643,249,112,9591000 0001 0001 0010 0010 0110 0100 1100 1101 1001 1011 1011 0111 0111 1111
93658,812,288,653,553,0791001 0010 0100 1001 0010 0100 1001 0011 0110 1101 1011 0110 1101 1011 0111
122768,614,336,404,564,6511010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1010 1011
612,305,843,009,213,693,9511 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111 1111
859,520,972,806,333,758,4311000 0100 0010 0001 0100 1010 0101 0010 1011 0101 1010 1101 0111 1011 1101 1111
19218,446,744,069,414,584,3211111 1111 1111 1111 1111 1111 1111 1111 0000 0000 0000 0000 0000 0000 0000 0001