Index Nr |
Basenumber | Length |
Palindromic Incremented Squares of form n^2+X | Length |
 | |  |
Case X = 0 |
See in-depth webpage about Palindromic Square Numbers |
 | |  |
Case X = 1 |
See in-depth webpage about Palindromic Incremented Squares |
 | |  |
Case X = 2 |
One can find the regular numbers of the form n2 + 2 at
%N n^2 + 2. under A059100.
The palindromic numbers of the form n2 + 2 are categorised as follows :
%N n^2 + 2 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 2. under A0?????.
|
68 | 817.683.802.207.308 | 15 |
668.606.800.392.199.991.293.008.606.866 | 30 |
67 | 791.470.648.804.932 | 15 |
626.425.787.919.700.007.919.787.524.626 | 30 |
66 | 364.768.101.292.427 | 15 |
133.055.767.720.482.284.027.767.550.331 | 30 |
65 | 284.676.297.563.004 | 15 |
81.040.594.394.179.997.149.349.504.018 | 29 |
64 | 186.797.158.329.471 | 15 |
34.893.178.359.965.456.995.387.139.843 | 29 |
63 | 141.426.468.677.100 | 15 |
20.001.446.042.474.747.424.064.410.002 | 29 |
62 | 140.737.100.319.083 | 15 |
19.806.931.406.223.632.260.413.960.891 | 29 |
61 | 133.805.135.860.437 | 15 |
17.903.814.382.630.003.628.341.830.971 | 29 |
60 | 93.455.496.826.376 | 14 |
8.733.929.887.064.774.607.889.293.378 | 28 |
59 | 55.349.225.724.449 | 14 |
3.063.536.788.296.006.928.876.353.603 | 28 |
58 | 45.492.981.517.640 | 14 |
2.069.611.367.364.334.637.631.169.602 | 28 |
57 | 14.363.881.876.060 | 14 |
206.321.102.549.404.945.201.123.602 | 27 |
56 | 13.413.161.997.313 | 14 |
179.912.914.766.161.667.419.219.971 | 27 |
55 | 10.902.121.823.947 | 14 |
118.856.260.264.181.462.062.658.811 | 27 |
54 | 9.114.951.055.994 | 13 |
83.082.332.753.166.135.723.328.038 | 26 |
54 | 2.925.054.461.666 | 13 |
8.555.943.603.712.173.063.495.558 | 25 |
53 | 2.688.021.576.515 | 13 |
7.225.459.995.810.185.999.545.227 | 25 |
52 | 1.954.611.231.091 | 13 |
3.820.505.064.707.074.605.050.283 | 25 |
51 | 1.861.509.029.379 | 13 |
3.465.215.866.459.546.685.125.643 | 25 |
50 | 268.803.849.765 | 12 |
72.255.509.648.484.690.555.227 | 23 |
49 | 250.793.696.732 | 12 |
62.897.478.320.502.387.479.826 | 23 |
48 | 144.598.910.530 | 12 |
20.908.844.926.462.944.880.902 | 23 |
47 | 142.019.320.310 | 12 |
20.169.487.341.314.378.496.102 | 23 |
46 | 11.645.196.023 | 11 |
135.610.590.414.095.016.531 | 21 |
45 | 8.487.412.695 | 10 |
72.036.174.255.247.163.027 | 20 |
44 | 8.486.324.855 | 10 |
72.017.709.544.590.771.027 | 20 |
43 | 3.881.830.257 | 10 |
15.068.606.144.160.686.051 | 20 |
42 | 2.496.801.518 | 10 |
6.234.017.820.287.104.326 | 19 |
41 | 1.950.914.241 | 10 |
3.806.066.375.736.606.083 | 19 |
40 | 1.912.253.831 | 10 |
3.656.714.714.174.176.563 | 19 |
39 | 1.340.374.437 | 10 |
1.796.603.631.363.066.971 | 19 |
38 | 813.448.358 | 9 |
661.698.231.132.896.166 | 18 |
37 | 620.208.559 | 9 |
384.658.656.656.856.483 | 18 |
36 | 452.357.920 | 9 |
204.627.687.786.726.402 | 18 |
35 | 451.977.320 | 9 |
204.283.497.794.382.402 | 18 |
34 | 246.553.448 | 9 |
60.788.602.720.688.706 | 17 |
33 | 186.062.629 | 9 |
34.619.301.910.391.643 | 17 |
32 | 79.094.282 | 8 |
6.255.905.445.095.526 | 16 |
31 | 61.875.091 | 8 |
3.828.526.886.258.283 | 16 |
30 | 28.559.254 | 8 |
815.630.989.036.518 | 15 |
29 | 26.237.622 | 8 |
688.412.808.214.886 | 15 |
28 | 25.809.892 | 8 |
666.150.525.051.666 | 15 |
27 | 14.365.940 | 8 |
206.380.232.083.602 | 15 |
26 | 5.513.951 | 7 |
30.403.655.630.403 | 14 |
25 | 2.491.032 | 7 |
6.205.240.425.026 | 13 |
24 | 1.845.571 | 7 |
3.406.132.316.043 | 13 |
23 | 1.050.503 | 7 |
1.103.556.553.011 | 13 |
22 | 902.696 | 6 |
814.860.068.418 | 12 |
21 | 423.437 | 6 |
179.298.892.971 | 12 |
20 | 298.436 | 6 |
89.064.046.098 | 11 |
19 | 268.865 | 6 |
72.288.388.227 | 11 |
18 | 140.833 | 6 |
19.833.933.891 | 11 |
17 | 10.503 | 5 |
110.313.011 | 9 |
16 | 4.540 | 4 |
20.611.602 | 8 |
15 | 3.627 | 4 |
13.155.131 | 8 |
14 | 2.986 | 4 |
8.916.198 | 7 |
13 | 2.916 | 4 |
8.503.058 | 7 |
12 | 2.538 | 4 |
6.441.446 | 7 |
11 | 1.811 | 4 |
3.279.723 | 7 |
10 | 828 | 3 |
685.586 | 6 |
9 | 393 | 2 |
154.451 | 6 |
8 | 258 | 2 |
66.566 | 5 |
7 | 85 | 2 |
7.227 | 4 |
6 | 19 | 2 |
363 | 3 |
5 | 13 | 2 |
171 | 3 |
4 | 8 | 1 |
66 | 2 |
3 | 3 | 1 |
11 | 2 |
2 | 2 | 1 |
6 | 1 |
1 | 1 | 1 |
3 | 1 |
0 | 0 | 1 |
2 | 1 |
 | |  |
Case X = 3 |
One can find the regular numbers of the form n2 + 3 at
%N n^2 + 3. under A117950.
The palindromic numbers of the form n2 + 3 are categorised as follows :
%N n^2 + 3 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 3. under A0?????.
|
51 | 211.877.852.724.471 | 15 |
44.892.224.475.132.623.157.442.229.844 | 29 |
50 | 200.000.000.000.001 | 15 |
40.000.000.000.000.400.000.000.000.004 | 29 |
49 | 159.657.521.992.893 | 15 |
25.490.524.328.911.111.982.342.509.452 | 29 |
48 | 145.112.248.387.503 | 15 |
21.057.564.632.076.367.023.646.575.012 | 29 |
47 | 27.276.194.939.188 | 14 |
743.990.810.360.585.063.018.099.347 | 27 |
46 | 20.000.000.000.001 | 14 |
400.000.000.000.040.000.000.000.004 | 27 |
45 | 2.201.668.436.941 | 13 |
4.847.343.906.222.226.093.437.484 | 25 |
44 | 2.006.428.407.601 | 13 |
4.025.754.954.828.284.594.575.204 | 25 |
43 | 2.000.000.000.001 | 13 |
4.000.000.000.004.000.000.000.004 | 25 |
42 | 312.477.762.974 | 12 |
97.642.352.353.235.325.324.679 | 23 |
41 | 200.000.000.001 | 12 |
40.000.000.000.400.000.000.004 | 23 |
40 | 175.791.724.530 | 12 |
30.902.730.413.231.403.720.903 | 23 |
39 | 170.460.122.783 | 12 |
29.056.653.459.195.435.665.092 | 23 |
38 | 160.164.390.407 | 12 |
25.652.631.954.445.913.625.652 | 23 |
37 | 20.000.000.001 | 11 |
400.000.000.040.000.000.004 | 21 |
36 | 17.038.650.783 | 11 |
290.315.620.505.026.513.092 | 21 |
35 | 2.196.849.659 | 10 |
4.826.148.424.248.416.284 | 19 |
34 | 2.020.653.099 | 10 |
4.083.038.946.498.303.804 | 19 |
33 | 2.011.953.701 | 10 |
4.047.957.694.967.597.404 | 19 |
33 | 2.000.000.001 | 10 |
4.000.000.004.000.000.004 | 19 |
32 | 1.750.740.840 | 10 |
3.065.093.488.843.905.603 | 19 |
31 | 1.745.447.580 | 10 |
3.046.587.254.527.856.403 | 19 |
30 | 1.582.907.507 | 10 |
2.505.596.175.716.955.052 | 19 |
29 | 287.490.325 | 9 |
82.650.686.968.605.628 | 17 |
28 | 276.529.592 | 9 |
76.468.615.251.686.467 | 17 |
27 | 201.146.451 | 9 |
40.459.894.749.895.404 | 17 |
26 | 200.000.001 | 9 |
40.000.000.400.000.004 | 17 |
25 | 174.546.080 | 9 |
30.466.334.043.366.403 | 17 |
24 | 20.104.299 | 8 |
404.182.838.281.404 | 15 |
23 | 20.000.001 | 8 |
400.000.040.000.004 | 15 |
22 | 2.808.622 | 7 |
7.888.357.538.887 | 13 |
21 | 2.211.109 | 7 |
4.889.003.009.884 | 13 |
20 | 2.000.001 | 7 |
4.000.004.000.004 | 13 |
19 | 200.001 | 6 |
40.000.400.004 | 11 |
18 | 167.313 | 6 |
27.993.639.972 | 11 |
17 | 165.837 | 6 |
27.501.910.572 | 11 |
16 | 152.127 | 6 |
23.142.624.132 | 11 |
15 | 145.797 | 6 |
21.256.765.212 | 11 |
14 | 31.614 | 5 |
999.444.999 | 9 |
13 | 30.506 | 5 |
930.616.039 | 9 |
12 | 21.129 | 5 |
446.434.644 | 9 |
11 | 20.001 | 5 |
400.040.004 | 9 |
10 | 2.875 | 4 |
8.265.628 | 7 |
9 | 2.001 | 4 |
4.004.004 | 7 |
8 | 306 | 3 |
93.639 | 5 |
7 | 201 | 3 |
40.404 | 5 |
6 | 147 | 3 |
21.612 | 5 |
5 | 28 | 2 |
787 | 3 |
4 | 21 | 2 |
444 | 3 |
3 | 17 | 2 |
292 | 3 |
2 | 2 | 1 |
7 | 1 |
1 | 1 | 1 |
4 | 1 |
0 | 0 | 1 |
3 | 1 |
 | |  |
Case X = 4 |
One can find the regular numbers of the form n2 + 4 at
%N n^2 + 4. under A087475.
The palindromic numbers of the form n2 + 4 are categorised as follows :
%N n^2 + 4 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 4. under A0?????.
|
64 | 290.001.098.900.012 | 15 |
84.100.637.363.214.541.236.373.600.148 | 29 |
63 | 290.000.000.000.012 | 15 |
84.100.000.000.006.960.000.000.000.148 | 29 |
62 | 225.116.991.118.801 | 15 |
50.677.659.690.382.328.309.695.677.605 | 29 |
61 | 200.000.000.000.000 | 15 |
40.000.000.000.000.000.000.000.000.004 | 29 |
60 | 29.001.099.890.012 | 14 |
841.063.794.830.454.038.497.360.148 | 27 |
59 | 29.001.089.109.988 | 14 |
841.063.169.565.464.565.961.360.148 | 27 |
58 | 29.000.108.900.012 | 14 |
841.006.316.212.555.212.613.600.148 | 27 |
57 | 29.000.010.999.988 | 14 |
841.000.637.999.424.999.736.000.148 | 27 |
56 | 29.000.000.000.012 | 14 |
841.000.000.000.696.000.000.000.148 | 27 |
55 | 24.096.294.452.009 | 14 |
580.631.406.317.919.713.604.136.085 | 27 |
54 | 23.283.121.322.421 | 14 |
542.103.738.514.575.415.837.301.245 | 27 |
53 | 20.102.019.998.520 | 14 |
404.091.208.020.898.020.802.190.404 | 27 |
52 | 20.000.000.000.000 | 14 |
400.000.000.000.000.000.000.000.004 | 27 |
51 | 17.784.936.509.397 | 14 |
316.303.966.643.282.346.669.303.613 | 27 |
50 | 2.900.109.890.012 | 13 |
8.410.637.374.145.414.737.360.148 | 25 |
49 | 2.900.000.000.012 | 13 |
8.410.000.000.069.600.000.000.148 | 25 |
48 | 2.000.000.000.000 | 13 |
4.000.000.000.000.000.000.000.004 | 25 |
47 | 1.893.180.648.207 | 13 |
3.584.132.966.745.476.692.314.853 | 25 |
46 | 291.098.901.088 | 12 |
84.738.570.214.641.207.583.748 | 23 |
45 | 290.010.890.012 | 12 |
84.106.316.325.552.361.360.148 | 23 |
44 | 290.001.099.988 | 12 |
84.100.637.994.249.973.600.148 | 23 |
43 | 290.000.000.012 | 12 |
84.100.000.006.960.000.000.148 | 23 |
42 | 234.304.304.471 | 12 |
54.898.507.093.639.070.589.845 | 23 |
41 | 200.000.000.000 | 12 |
40.000.000.000.000.000.000.004 | 23 |
40 | 29.010.989.012 | 11 |
841.637.483.454.384.736.148 | 21 |
39 | 29.000.000.012 | 11 |
841.000.000.696.000.000.148 | 21 |
38 | 20.046.487.910 | 11 |
401.861.677.525.776.168.104 | 21 |
37 | 20.000.000.000 | 11 |
400.000.000.000.000.000.004 | 21 |
36 | 2.901.089.012 | 10 |
8.416.317.455.547.136.148 | 19 |
35 | 2.900.109.988 | 10 |
8.410.637.942.497.360.148 | 19 |
34 | 2.900.000.012 | 10 |
8.410.000.069.600.000.148 | 19 |
33 | 2.418.272.559 | 10 |
5.848.042.169.612.408.485 | 19 |
32 | 2.000.000.000 | 10 |
4.000.000.000.000.000.004 | 19 |
31 | 1.981.904.483 | 10 |
3.927.945.379.735.497.293 | 19 |
30 | 293.695.292 | 9 |
86.256.924.542.965.268 | 17 |
29 | 291.098.912 | 9 |
84.738.576.567.583.748 | 17 |
28 | 290.000.012 | 9 |
84.100.006.960.000.148 | 17 |
27 | 200.000.000 | 9 |
40.000.000.000.000.004 | 17 |
26 | 197.605.717 | 9 |
39.048.019.391.084.093 | 17 |
25 | 177.437.653 | 9 |
31.484.120.702.148.413 | 17 |
24 | 29.108.912 | 8 |
847.328.757.823.748 | 15 |
23 | 29.010.988 | 8 |
841.637.424.736.148 | 15 |
22 | 29.000.012 | 8 |
841.000.696.000.148 | 15 |
21 | 24.208.291 | 8 |
586.041.353.140.685 | 15 |
20 | 23.020.911 | 8 |
529.962.343.269.925 | 15 |
19 | 20.000.000 | 8 |
400.000.000.000.004 | 15 |
18 | 2.900.012 | 7 |
8.410.069.600.148 | 13 |
17 | 2.000.000 | 7 |
4.000.000.000.004 | 13 |
16 | 291.088 | 6 |
84.732.223.748 | 11 |
15 | 290.012 | 6 |
84.106.960.148 | 11 |
14 | 284.298 | 6 |
80.825.352.808 | 11 |
13 | 200.000 | 6 |
40.000.000.004 | 11 |
12 | 29.012 | 5 |
841.696.148 | 9 |
11 | 20.230 | 5 |
409.252.904 | 9 |
10 | 20.000 | 5 |
400.000.004 | 9 |
9 | 2.912 | 4 |
8.479.748 | 7 |
8 | 2.369 | 4 |
5.612.165 | 7 |
7 | 2.329 | 4 |
5.424.245 | 7 |
6 | 2.000 | 4 |
4.000.004 | 7 |
5 | 241 | 3 |
58.085 | 5 |
4 | 200 | 3 |
40.004 | 5 |
3 | 20 | 2 |
404 | 3 |
2 | 2 | 1 |
8 | 1 |
1 | 1 | 1 |
5 | 1 |
0 | 0 | 1 |
4 | 1 |
 | |  |
Case X = 5 |
One can find the regular numbers of the form n2 + 5 at
%N n^2 + 5. under A117951.
The palindromic numbers of the form n2 + 5 are categorised as follows :
%N n^2 + 5 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 5. under A0?????.
|
43 | 309.910.900.890.992 | 15 |
96.044.766.491.066.266.019.466.744.069 | 29 |
42 | 262.407.097.891.859 | 15 |
68.857.485.024.027.672.042.058.475.886 | 29 |
41 | 204.099.968.332.397 | 15 |
41.656.797.073.285.458.237.079.765.614 | 29 |
40 | 120.984.198.909.694 | 15 |
14.637.176.385.820.402.858.367.173.641 | 29 |
39 | 120.357.148.031.794 | 15 |
14.485.843.082.347.174.328.034.858.441 | 29 |
38 | 112.770.894.443.846 | 15 |
12.717.274.633.665.056.633.647.271.721 | 29 |
37 | 31.090.089.099.108 | 14 |
966.593.640.190.474.091.046.395.669 | 27 |
36 | 30.990.990.990.992 | 14 |
960.441.522.603.747.306.225.144.069 | 27 |
35 | 25.763.006.263.481 | 14 |
663.732.491.732.161.237.194.237.366 | 27 |
34 | 12.686.342.618.416 | 14 |
160.943.289.031.838.130.982.349.061 | 27 |
33 | 3.048.771.427.882 | 13 |
9.295.007.219.469.649.127.005.929 | 25 |
32 | 2.256.574.603.770 | 13 |
5.092.128.942.379.732.498.212.905 | 25 |
31 | 309.910.890.992 | 12 |
96.044.760.355.455.306.744.069 | 23 |
30 | 225.101.642.740 | 12 |
50.670.749.564.246.594.707.605 | 23 |
29 | 218.488.832.637 | 12 |
47.737.369.987.078.996.373.774 | 23 |
28 | 214.091.717.957 | 12 |
45.835.263.697.779.636.253.854 | 23 |
27 | 30.990.990.992 | 11 |
960.441.522.666.225.144.069 | 21 |
26 | 22.360.694.000 | 11 |
500.000.636.161.636.000.005 | 21 |
25 | 12.996.564.684 | 11 |
168.910.693.585.396.019.861 | 21 |
24 | 3.108.910.892 | 10 |
9.665.326.934.396.235.669 | 19 |
23 | 3.099.109.008 | 10 |
9.604.476.643.466.744.069 | 19 |
22 | 3.049.566.118 | 10 |
9.299.853.508.053.589.929 | 19 |
21 | 2.172.438.487 | 10 |
4.719.488.979.798.849.174 | 19 |
20 | 2.171.728.987 | 10 |
4.716.406.792.976.046.174 | 19 |
19 | 310.900.892 | 9 |
96.659.364.646.395.669 | 17 |
18 | 307.606.262 | 9 |
94.621.612.421.612.649 | 17 |
17 | 204.050.603 | 9 |
41.636.648.584.663.614 | 17 |
16 | 203.480.347 | 9 |
41.404.251.615.240.414 | 17 |
15 | 31.089.108 | 8 |
966.532.636.235.669 | 15 |
14 | 30.990.992 | 8 |
960.441.585.144.069 | 15 |
13 | 24.619.199 | 8 |
606.104.959.401.606 | 15 |
12 | 20.920.277 | 8 |
437.657.989.756.734 | 15 |
11 | 13.778.324 | 8 |
189.842.212.248.981 | 15 |
10 | 1.007.436 | 7 |
1.014.927.294.101 | 13 |
9 | 310.892 | 6 |
96.653.835.669 | 11 |
8 | 136.474 | 6 |
18.625.152.681 | 11 |
7 | 22.570 | 5 |
509.404.905 | 9 |
6 | 20.347 | 5 |
414.000.414 | 9 |
5 | 1.374 | 4 |
1.887.881 | 7 |
4 | 1.014 | 4 |
1.028.201 | 7 |
3 | 203 | 3 |
41.214 | 5 |
2 | 2 | 1 |
9 | 1 |
1 | 1 | 1 |
6 | 1 |
0 | 0 | 1 |
5 | 1 |
 | |  |
Case X = 6 |
One can find the regular numbers of the form n2 + 6 at
%N n^2 + 6. under A114949.
The palindromic numbers of the form n2 + 6 are categorised as follows :
%N n^2 + 6 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 6. under A0?????.
|
45 | 455.835.912.156.236 | 15 |
207.786.378.811.307.703.118.873.687.702 | 30 |
44 | 114.028.867.547.995 | 15 |
13.002.582.634.278.187.243.628.520.031 | 29 |
43 | 27.668.521.984.581 | 14 |
765.547.108.811.242.118.801.745.567 | 27 |
42 | 1.622.457.383.434 | 13 |
2.632.367.961.059.501.697.632.362 | 25 |
41 | 360.616.362.245 | 12 |
130.044.160.718.817.061.440.031 | 24 |
40 | 234.732.340.243 | 12 |
55.099.271.555.955.517.299.055 | 23 |
39 | 162.829.334.666 | 12 |
26.513.392.227.772.229.331.562 | 23 |
38 | 157.495.523.406 | 12 |
24.804.839.892.929.893.840.842 | 23 |
37 | 157.302.301.856 | 12 |
24.744.014.169.196.141.044.742 | 23 |
36 | 144.260.002.214 | 12 |
20.810.948.238.783.284.901.802 | 23 |
35 | 36.131.148.255 | 11 |
1.305.459.874.224.789.545.031 | 22 |
34 | 28.043.323.459 | 11 |
786.427.990.626.099.724.687 | 21 |
33 | 27.979.618.659 | 11 |
782.859.060.303.060.958.287 | 21 |
32 | 3.645.161.865 | 10 |
13.287.205.022.050.278.231 | 20 |
31 | 2.354.704.143 | 10 |
5.544.631.601.061.364.455 | 19 |
30 | 1.554.076.056 | 10 |
2.415.152.387.832.515.142 | 19 |
29 | 360.581.005 | 9 |
130.018.661.166.810.031 | 18 |
28 | 156.832.744 | 9 |
24.596.509.590.569.542 | 17 |
27 | 144.402.286 | 9 |
20.852.020.202.025.802 | 17 |
26 | 88.574.691 | 8 |
7.845.475.885.745.487 | 16 |
25 | 24.589.420 | 8 |
604.639.575.936.406 | 15 |
24 | 23.954.037 | 8 |
573.795.888.597.375 | 15 |
23 | 16.963.924 | 8 |
287.774.717.477.782 | 15 |
22 | 11.504.365 | 8 |
132.350.414.053.231 | 15 |
21 | 11.493.715 | 8 |
132.105.484.501.231 | 15 |
20 | 8.493.489 | 7 |
72.139.355.393.127 | 14 |
19 | 7.586.663 | 7 |
57.557.455.475.575 | 14 |
18 | 245.820 | 6 |
60.427.472.406 | 11 |
17 | 230.623 | 6 |
53.186.968.135 | 11 |
16 | 169.874 | 6 |
28.857.175.882 | 11 |
15 | 144.664 | 6 |
20.927.672.902 | 11 |
14 | 86.379 | 5 |
7.461.331.647 | 10 |
13 | 16.776 | 5 |
281.434.182 | 9 |
12 | 15.556 | 5 |
241.989.142 | 9 |
11 | 11.515 | 5 |
132.595.231 | 9 |
10 | 2.729 | 4 |
7.447.447 | 7 |
9 | 156 | 3 |
24.342 | 5 |
8 | 115 | 3 |
13.231 | 5 |
7 | 73 | 2 |
5.335 | 4 |
6 | 23 | 2 |
535 | 3 |
5 | 16 | 2 |
262 | 3 |
4 | 14 | 2 |
202 | 3 |
3 | 7 | 1 |
55 | 2 |
2 | 4 | 1 |
22 | 2 |
1 | 1 | 1 |
7 | 1 |
0 | 0 | 1 |
6 | 1 |
 | |  |
Case X = 7 |
One can find the regular numbers of the form n2 + 7 at
%N n^2 + 7. under A117619.
The palindromic numbers of the form n2 + 7 are categorised as follows :
%N n^2 + 7 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 7. under A0?????.
|
63 | 928.397.928.617.619 | 15 |
861.922.713.861.485.584.168.317.229.168 | 30 |
62 | 894.779.501.236.751 | 15 |
800.630.355.833.488.884.338.553.036.008 | 30 |
61 | 390.478.814.572.838 | 15 |
152.473.704.630.208.802.036.407.374.251 | 30 |
60 | 247.007.970.190.247 | 15 |
61.012.937.337.505.950.573.373.921.016 | 29 |
59 | 139.767.782.028.828 | 15 |
19.535.032.893.257.975.239.823.053.591 | 29 |
58 | 124.845.622.180.888 | 15 |
15.586.429.377.733.033.777.392.468.551 | 29 |
57 | 26.346.484.384.433 | 14 |
694.137.239.419.171.914.932.731.496 | 27 |
56 | 15.258.510.823.135 | 14 |
232.822.152.539.727.935.251.228.232 | 27 |
55 | 11.545.204.077.982 | 14 |
133.291.737.202.252.202.737.192.331 | 27 |
54 | 8.372.856.137.010 | 13 |
70.104.719.891.066.019.891.740.107 | 26 |
53 | 8.356.234.672.333 | 13 |
69.826.657.899.100.199.875.662.896 | 26 |
52 | 8.309.775.585.967 | 13 |
69.052.370.289.133.198.207.325.096 | 26 |
51 | 3.693.414.147.568 | 13 |
13.641.308.065.455.456.080.314.631 | 26 |
50 | 1.065.362.822.952 | 13 |
1.134.997.944.528.254.497.994.311 | 25 |
49 | 921.146.111.279 | 12 |
848.510.158.324.423.851.015.848 | 24 |
48 | 899.067.950.651 | 12 |
808.323.179.887.788.971.323.808 | 24 |
47 | 840.316.026.460 | 12 |
706.131.024.325.523.420.131.607 | 24 |
46 | 837.309.460.990 | 12 |
701.087.133.463.364.331.780.107 | 24 |
45 | 265.559.939.850 | 12 |
70.522.081.653.135.618.022.507 | 23 |
44 | 255.467.159.557 | 12 |
65.263.469.612.121.696.436.256 | 23 |
43 | 248.721.045.947 | 12 |
61.862.158.696.969.685.126.816 | 23 |
42 | 191.421.191.716 | 12 |
36.642.072.637.973.627.024.663 | 23 |
41 | 181.226.428.104 | 12 |
32.843.018.243.334.281.034.823 | 23 |
40 | 175.005.213.314 | 12 |
30.626.824.687.078.642.862.603 | 23 |
39 | 151.717.587.105 | 12 |
23.018.226.236.963.262.281.032 | 23 |
38 | 140.747.479.122 | 12 |
19.809.852.879.197.825.890.891 | 23 |
37 | 26.642.122.830 | 11 |
709.802.708.888.807.208.907 | 21 |
36 | 17.554.182.214 | 11 |
308.149.313.202.313.941.803 | 21 |
35 | 17.471.049.636 | 11 |
305.237.575.383.575.732.503 | 21 |
34 | 11.551.134.018 | 11 |
133.428.697.101.796.824.331 | 21 |
33 | 5.912.650.544 | 10 |
34.959.436.455.463.495.943 | 20 |
32 | 4.224.722.192 | 10 |
17.848.277.599.577.284.871 | 20 |
31 | 2.602.899.363 | 10 |
6.775.085.093.905.805.776 | 19 |
30 | 1.789.471.504 | 10 |
3.202.208.263.628.022.023 | 19 |
29 | 1.735.796.064 | 10 |
3.012.987.975.797.892.103 | 19 |
28 | 152.330.735 | 9 |
23.204.652.825.640.232 | 17 |
27 | 91.698.429 | 8 |
8.408.601.881.068.048 | 16 |
26 | 90.991.811 | 8 |
8.279.509.669.059.728 | 16 |
25 | 83.941.420 | 8 |
7.046.161.991.616.407 | 16 |
24 | 26.458.500 | 8 |
700.052.222.250.007 | 15 |
23 | 25.654.957 | 8 |
658.176.818.671.856 | 15 |
22 | 19.049.016 | 8 |
362.865.010.568.263 | 15 |
21 | 18.070.704 | 8 |
326.550.343.055.623 | 15 |
20 | 5.902.906 | 7 |
34.844.299.244.843 | 14 |
19 | 4.821.815 | 7 |
23.249.899.894.232 | 14 |
18 | 2.654.580 | 7 |
7.046.794.976.407 | 13 |
17 | 1.815.554 | 7 |
3.296.236.326.923 | 13 |
16 | 823.363 | 6 |
677.926.629.776 | 12 |
15 | 190.034 | 6 |
36.112.921.163 | 11 |
14 | 180.704 | 6 |
32.653.935.623 | 11 |
13 | 15.195 | 5 |
230.888.032 | 9 |
12 | 10.502 | 5 |
110.292.011 | 9 |
11 | 5.696 | 4 |
32.444.423 | 8 |
10 | 4.805 | 4 |
23.088.032 | 8 |
9 | 911 | 3 |
829.928 | 6 |
8 | 247 | 3 |
61.016 | 5 |
7 | 118 | 3 |
13.931 | 5 |
6 | 42 | 2 |
1.771 | 4 |
5 | 29 | 2 |
848 | 3 |
5 | 15 | 2 |
232 | 3 |
4 | 12 | 2 |
151 | 3 |
3 | 9 | 1 |
88 | 2 |
2 | 2 | 1 |
11 | 2 |
1 | 1 | 1 |
8 | 1 |
0 | 0 | 1 |
7 | 1 |
 | |  |
Case X = 8 |
One can find the regular numbers of the form n2 + 8 at
%N n^2 + 8. under A189833.
The palindromic numbers of the form n2 + 8 are categorised as follows :
%N n^2 + 8 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 8. under A0?????.
|
75 | 576.376.983.170.335 | 15 |
332.210.426.728.536.635.827.624.012.233 | 30 |
74 | 481.209.766.450.682 | 15 |
231.562.839.327.519.915.723.938.265.132 | 30 |
73 | 300.000.000.000.001 | 15 |
90.000.000.000.000.600.000.000.000.009 | 29 |
72 | 275.337.945.056.293 | 15 |
75.810.983.987.822.222.878.938.901.857 | 29 |
71 | 216.065.920.101.284 | 15 |
46.684.481.829.214.441.292.818.448.664 | 29 |
70 | 94.896.997.097.501 | 14 |
9.005.440.058.123.113.218.500.445.009 | 28 |
69 | 46.837.097.362.148 | 14 |
2.193.713.689.311.331.139.863.173.912 | 28 |
68 | 30.000.000.000.001 | 14 |
900.000.000.000.060.000.000.000.009 | 27 |
67 | 28.285.433.123.400 | 14 |
800.065.726.978.333.879.627.560.008 | 27 |
66 | 27.189.036.465.673 | 14 |
739.243.703.931.696.139.307.342.937 | 27 |
65 | 22.099.529.046.626 | 14 |
488.389.184.082.666.280.481.983.884 | 27 |
64 | 21.644.889.670.816 | 14 |
468.501.248.861.797.168.842.105.864 | 27 |
63 | 16.531.889.324.942 | 14 |
273.303.364.652.131.256.463.303.372 | 27 |
62 | 8.970.276.377.420 | 13 |
80.465.858.287.299.278.285.856.408 | 26 |
61 | 5.438.671.922.172 | 13 |
29.579.152.277.022.077.225.197.592 | 26 |
60 | 5.003.245.383.362 | 13 |
25.032.464.366.133.166.346.423.052 | 26 |
59 | 3.079.298.219.029 | 13 |
9.482.077.521.715.171.257.702.849 | 25 |
58 | 3.000.000.000.001 | 13 |
9.000.000.000.006.000.000.000.009 | 25 |
57 | 1.462.512.223.952 | 13 |
2.138.942.005.209.025.002.498.312 | 25 |
56 | 313.136.321.259 | 12 |
98.054.355.691.619.655.345.089 | 23 |
55 | 300.000.000.001 | 12 |
90.000.000.000.600.000.000.009 | 23 |
54 | 275.014.002.593 | 12 |
75.632.701.622.222.610.723.657 | 23 |
53 | 270.510.768.373 | 12 |
73.176.075.805.750.857.067.137 | 23 |
52 | 267.374.937.347 | 12 |
71.489.357.121.312.175.398.417 | 23 |
51 | 64.869.123.996 | 11 |
4.208.003.248.008.423.008.024 | 22 |
50 | 30.000.000.001 | 11 |
900.000.000.060.000.000.009 | 21 |
49 | 27.157.572.473 | 11 |
737.533.742.626.247.335.737 | 21 |
48 | 18.229.113.115 | 11 |
332.300.564.959.465.003.233 | 21 |
47 | 16.573.604.592 | 11 |
274.684.369.171.963.486.472 | 21 |
46 | 9.607.915.389 | 10 |
92.312.038.122.183.021.329 | 20 |
45 | 5.764.428.665 | 10 |
33.228.637.833.873.682.233 | 20 |
44 | 4.813.848.682 | 10 |
23.173.139.133.193.137.132 | 20 |
43 | 3.000.000.001 | 10 |
9.000.000.006.000.000.009 | 19 |
42 | 2.193.798.276 | 10 |
4.812.750.875.780.572.184 | 19 |
41 | 1.660.759.758 | 10 |
2.758.122.973.792.218.572 | 19 |
40 | 984.531.531 | 9 |
969.302.335.533.203.969 | 18 |
39 | 899.936.670 | 9 |
809.886.010.010.688.908 | 18 |
38 | 858.762.723 | 9 |
737.473.414.414.374.737 | 18 |
37 | 300.000.001 | 9 |
90.000.000.600.000.009 | 17 |
36 | 268.086.303 | 9 |
71.870.265.856.207.817 | 17 |
35 | 167.274.158 | 9 |
27.980.643.934.608.972 | 17 |
34 | 153.532.282 | 9 |
23.572.161.616.127.532 | 17 |
33 | 30.000.001 | 8 |
900.000.060.000.009 | 15 |
32 | 28.370.280 | 8 |
804.872.787.278.408 | 15 |
31 | 21.969.674 | 8 |
482.666.575.666.284 | 15 |
30 | 14.573.302 | 8 |
212.381.131.183.212 | 15 |
29 | 3.000.001 | 7 |
9.000.006.000.009 | 13 |
28 | 2.837.650 | 7 |
8.052.257.522.508 | 13 |
27 | 2.198.624 | 7 |
4.833.947.493.384 | 13 |
26 | 2.050.504 | 7 |
4.204.566.654.024 | 13 |
25 | 576.285 | 6 |
332.104.401.233 | 12 |
24 | 306.921 | 6 |
94.200.500.249 | 11 |
23 | 300.001 | 6 |
90.000.600.009 | 11 |
22 | 283.620 | 6 |
80.440.304.408 | 11 |
21 | 96.211 | 5 |
9.256.556.529 | 10 |
20 | 85.773 | 5 |
7.357.007.537 | 10 |
19 | 30.001 | 5 |
900.060.009 | 9 |
18 | 27.543 | 5 |
758.616.857 | 9 |
17 | 20.504 | 5 |
420.414.024 | 9 |
16 | 18.235 | 5 |
332.515.233 | 9 |
15 | 8.707 | 4 |
75.811.857 | 8 |
14 | 6.364 | 4 |
40.500.504 | 8 |
13 | 3.001 | 4 |
9.006.009 | 7 |
12 | 2.840 | 4 |
8.065.608 | 7 |
11 | 951 | 3 |
904.409 | 6 |
10 | 654 | 3 |
427.724 | 6 |
9 | 301 | 3 |
90.609 | 5 |
8 | 216 | 3 |
46.664 | 5 |
7 | 172 | 3 |
29.592 | 5 |
6 | 148 | 3 |
21.912 | 5 |
5 | 31 | 2 |
969 | 3 |
4 | 27 | 2 |
737 | 3 |
3 | 6 | 1 |
44 | 2 |
2 | 5 | 1 |
33 | 2 |
1 | 1 | 1 |
9 | 1 |
0 | 0 | 1 |
8 | 1 |
 | |  |
Case X = 9 |
One can find the regular numbers of the form n2 + 9 at
%N n^2 + 9. under A189834.
The palindromic numbers of the form n2 + 9 are categorised as follows :
%N n^2 + 9 is a palindrome. under A0?????.
%N Palindromes of the form n^2 + 9. under A0?????.
|
44 | 300.000.000.000.000 | 15 |
90.000.000.000.000.000.000.000.000.009 | 29 |
43 | 299.142.331.546.067 | 15 |
89.486.134.522.817.071.822.543.168.498 | 29 |
42 | 241.848.269.901.926 | 15 |
58.490.585.654.554.845.545.658.509.485 | 29 |
41 | 233.022.488.525.894 | 15 |
54.299.480.158.800.400.885.108.499.245 | 29 |
40 | 30.000.000.000.000 | 14 |
900.000.000.000.000.000.000.000.009 | 27 |
39 | 3.000.020.251.100 | 13 |
9.000.121.507.010.107.051.210.009 | 25 |
38 | 3.000.000.000.000 | 13 |
9.000.000.000.000.000.000.000.009 | 25 |
37 | 2.983.356.089.717 | 13 |
8.900.413.558.051.508.553.140.098 | 25 |
36 | 301.053.306.560 | 12 |
90.633.093.390.709.339.033.609 | 23 |
35 | 300.804.083.720 | 12 |
90.483.096.782.628.769.038.409 | 23 |
34 | 300.000.000.000 | 12 |
90.000.000.000.000.000.000.009 | 23 |
33 | 291.644.222.507 | 12 |
85.056.352.521.712.525.365.058 | 23 |
32 | 288.652.169.573 | 12 |
83.320.074.999.199.947.002.338 | 23 |
31 | 285.771.472.353 | 12 |
81.665.334.410.801.443.356.618 | 23 |
30 | 193.566.472.908 | 12 |
37.467.979.434.043.497.976.473 | 23 |
29 | 189.532.984.712 | 12 |
35.922.752.293.839.225.722.953 | 23 |
28 | 30.000.000.000 | 11 |
900.000.000.000.000.000.009 | 21 |
27 | 3.000.000.000 | 10 |
9.000.000.000.000.000.009 | 19 |
26 | 1.836.534.082 | 10 |
3.372.857.434.347.582.733 | 19 |
25 | 301.021.960 | 9 |
90.614.220.402.241.609 | 17 |
24 | 300.000.000 | 9 |
90.000.000.000.000.009 | 17 |
23 | 292.676.657 | 9 |
85.659.625.552.695.658 | 17 |
22 | 198.306.128 | 9 |
39.325.320.402.352.393 | 17 |
21 | 30.000.000 | 8 |
900.000.000.000.009 | 15 |
20 | 19.282.142 | 8 |
371.801.000.108.173 | 15 |
19 | 3.000.000 | 7 |
9.000.000.000.009 | 13 |
18 | 2.987.983 | 7 |
8.928.042.408.298 | 13 |
17 | 2.854.097 | 7 |
8.145.869.685.418 | 13 |
16 | 1.892.088 | 7 |
3.579.996.999.753 | 13 |
15 | 300.000 | 6 |
90.000.000.009 | 11 |
14 | 234.094 | 6 |
54.800.000.845 | 11 |
13 | 230.054 | 6 |
52.924.842.925 | 11 |
12 | 30.000 | 5 |
900.000.009 | 9 |
11 | 23.866 | 5 |
569.585.965 | 9 |
10 | 19.292 | 5 |
372.181.273 | 9 |
9 | 3.000 | 4 |
9.000.009 | 7 |
8 | 2.424 | 4 |
5.875.785 | 7 |
7 | 300 | 3 |
90.009 | 5 |
6 | 293 | 3 |
85.858 | 5 |
5 | 188 | 3 |
35.353 | 5 |
4 | 182 | 3 |
33.133 | 5 |
3 | 30 | 2 |
909 | 3 |
2 | 24 | 2 |
585 | 3 |
1 | 18 | 2 |
333 | 3 |
0 | 0 | 1 |
9 | 1 |