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Subsets of Palindromic Squares
rood Squares upto length 31 rood Squares from length 32 rood
rood Palindromic Squares rood Factorization


Itinerary

 PLAIN TEXT SQUARES 

Sources Revealed


Neil Sloane's "Integer Sequences" Encyclopedia can be consulted online :
Neil Sloane's Integer Sequences
The subsets of palindromic squares are categorised as follows :
separator
%N n^2 is a palindromic square of sporadic type. under A059744.
%N Palindromic squares of sporadic type. under A059745.
separator
%N Square is a palindrome with even number of digits. under A016113.
%N Palindromic squares with an even number of digits. under A027829.
separator
%N Square is a palindrome with odd number of digits. under A028816.
%N Palindromic squares with odd number of digits. under A028817.
separator
%N Nonpalindromic & "non-core" numbers that when squared give palindromes
with odd number of digits. under A016106.
%N Palindromic squares with odd number of digits and nonpalindromic & "non-core"
square roots. under A028818.
%N Asymmetric families of palindromic squares. under A007573.
separator
Click here to view some of the author's [P. De Geest] entries to the table.
Click here to view some entries to the table about palindromes.






Sporadic Palindromic Squares of EVEN length
[TOP OF PAGE] [SUBSET B] [SUBSET C]
          
rood Full Listing


Serial
Number
Index BasenumberLength
Palindromic Square NumberLength
   
See also Sloane's A059744 and A059745
18 p7 64.897.400.105.515.621.177.314.68226
4.211.672.540.455.378.958.718.869.999.688.178.598.735.540.452.761.12452
17 p6 4.275.548.277.509.699.161.443.65925
18.280.313.073.316.155.472.257.355.375.227.455.161.337.031.308.28150
16 p3 831.775.153.121.251.039.203.51424
691.849.905.349.880.612.384.525.525.483.216.088.943.509.948.19648
15 p2 722.956.456.358.957.313.434.53524
522.666.037.791.100.950.480.675.576.084.059.001.197.730.666.22548
14 1556 3.823.177.109.095.314.778.62122
14.616.683.207.510.408.440.555.504.480.401.570.238.661.64144
13 1374 637.323.988.797.048.057.09821
406.181.866.696.179.837.389.983.738.971.696.668.181.60442
12 741 795.559.265.009.384.10618
632.914.544.142.271.449.944.172.241.445.419.23636
11 740 633.856.150.760.638.65218
401.773.619.857.093.475.574.390.758.916.377.10436
10 739 404.099.764.753.665.98118
163.296.619.873.968.186.681.869.378.916.692.36136
9 640 40.447.213.778.058.76917
1.635.977.102.407.987.117.897.042.017.795.36134
8 486 6.819.209.882.215.74216
46.501.623.417.708.833.880.771.432.610.56432
7 310 98.275.825.201.58714
9.658.137.819.052.882.509.187.318.56928
6 309 69.800.670.077.02814
4.872.133.543.202.112.023.453.312.78428
5 264 6.360.832.925.89813
40.460.195.511.188.111.559.106.40426
4 162 83.163.115.48611
6.916.103.777.337.773.016.19622
3 70 64.030.6488
4.099.923.883.299.90416
2 37 798.6446
637.832.238.73612
1 15 8363
698.8966


Sporadic Palindromic Squares of ODD length
[TOP OF PAGE] [SUBSET C] [SUBSET A]
          
rood Full Listing


Serial
Number
Index BasenumberLength
Palindromic Square NumberLength
   
See also Sloane's A059744 and A059745
76 p13 1.373.512.530.649.258.635.292.477.60928
1.886.536.671.850.530.641.991.373.196.913.731.991.460.350.581.766.356.88155
75 p12 1.208.997.217.707.381.836.451.672.37128
1.461.674.272.424.190.432.753.231.165.611.323.572.340.914.242.724.761.64155
74 p11 1.103.866.360.472.916.946.437.760.98928
1.218.520.941.783.723.816.716.782.817.182.876.176.183.273.871.490.258.12155
73 p10 219.293.240.651.172.832.756.867.92227
48.089.525.395.293.201.014.489.455.855.498.441.010.239.259.352.598.08453
72 p9 122.063.831.551.139.898.460.740.72127
14.899.578.972.945.056.149.893.218.681.239.894.165.054.927.987.599.84153
71 p8 121.096.650.591.136.334.960.853.87927
14.664.398.784.391.760.063.516.738.283.761.536.006.719.348.789.346.64153
70 p5 2.198.834.453.254.769.178.871.87225
4.834.872.952.820.199.705.196.890.986.915.079.910.282.592.784.38449
69 p4 2.107.561.207.005.423.534.632.46225
4.441.814.241.274.157.711.392.425.242.931.177.514.721.424.181.44449
68 p1 136.569.391.518.194.940.977.04124
18.651.198.699.650.016.285.556.865.558.261.005.699.689.115.68147
67 1940 25.886.574.803.023.261.617.72623
670.114.755.032.518.816.023.606.320.618.815.230.557.411.07645
66 1939 25.145.697.104.636.357.696.39423
632.306.082.878.117.302.583.050.385.203.711.878.280.603.23645
65 1938 20.706.193.716.777.033.766.26823
428.746.458.236.696.712.033.040.330.217.696.632.854.647.82445
64 1935 12.093.315.807.217.013.334.12123
146.248.287.213.084.882.816.757.618.288.480.312.782.842.64145
63 1555 3.036.233.455.854.775.865.62322
9.218.713.598.451.835.185.192.915.815.381.548.953.178.12943
62 1554 2.211.007.906.320.264.673.87822
4.888.555.961.810.720.288.016.108.820.270.181.695.558.88443
61 1553 2.016.192.509.426.760.663.59822
4.065.032.235.068.578.387.346.437.838.758.605.322.305.60443
60 1551 1.121.621.184.033.823.231.53922
1.258.034.080.473.435.562.012.102.655.343.740.804.308.52143
59 1373 263.397.138.410.176.890.08621
69.378.052.522.669.882.013.031.028.896.622.525.087.39641
58 1372 260.088.804.053.044.407.02621
67.646.185.993.742.928.767.376.782.924.739.958.164.67641
57 1371 229.359.782.235.085.482.22521
52.605.909.706.925.833.964.246.933.852.960.790.950.62541
56 1368 128.501.150.236.577.373.66921
16.512.545.612.123.429.216.861.292.432.121.654.521.56141
55 1082 25.686.162.978.506.292.36620
659.778.968.558.387.244.939.442.783.855.869.877.95639
54 950 2.282.211.769.458.230.80519
5.208.490.560.653.668.833.388.663.560.650.948.02537
53 947 1.363.859.210.193.543.29119
1.860.111.945.229.755.699.965.579.225.491.110.68137
52 738 306.950.094.269.977.05718
94.218.360.372.347.802.120.874.327.306.381.24935
51 737 228.138.929.476.341.40518
52.047.371.142.611.077.177.011.624.117.374.02535
50 736 207.254.460.945.174.61818
42.954.411.581.674.911.011.947.618.511.445.92435
49 734 135.772.344.267.730.05918
18.434.129.467.955.011.411.055.976.492.143.48135
48 637 13.661.181.333.262.45917
186.627.875.420.278.656.872.024.578.726.68133
47 636 13.593.470.459.544.30917
184.782.439.134.503.767.305.431.934.287.48133
46 635 12.797.593.520.483.48117
163.778.399.915.520.777.025.519.993.877.36133
45 634 11.863.792.420.598.92917
140.749.570.599.060.595.060.995.075.947.04133
44 633 11.843.191.515.764.82117
140.261.185.279.083.838.380.972.581.162.04133
43 485 3.138.199.296.186.06716
9.848.294.822.582.726.272.852.284.928.48931
42 484 3.107.974.295.870.66316
9.659.504.223.792.743.472.973.224.059.56931
41 483 3.066.446.727.654.24316
9.403.095.533.541.415.141.453.355.903.04931
40 482 2.564.053.868.197.73416
6.574.372.239.019.762.679.109.322.734.75631
39 481 2.201.019.508.986.47816
4.844.486.878.939.076.709.398.786.844.48431
38 415 314.155.324.482.86715
98.693.567.900.935.453.900.976.539.68929
37 414 210.786.628.549.53815
44.431.002.775.280.908.257.720.013.44429
36 411 129.610.990.752.56915
16.799.008.923.862.526.832.980.099.76129
35 308 30.395.080.190.57314
923.860.899.791.363.197.998.068.32927
34 263 3.069.306.930.69313
9.420.645.034.800.084.305.460.24925
33 262 2.634.812.417.86413
6.942.236.477.330.337.746.322.49625
32 261 2.149.099.165.35813
4.618.627.222.542.452.227.268.16425
31 258 1.349.465.117.84113
1.821.056.104.269.624.016.501.28125
30 192 128.817.084.66912
16.593.841.302.620.314.839.56123
29 191 112.247.658.96112
12.599.536.942.224.963.599.52123
28 190 111.283.619.36112
12.384.043.938.083.934.048.32123
27 178 101.116.809.85112
10.224.609.234.443.290.642.20123
26 161 30.693.069.30711
942.064.503.484.305.460.24921
25 160 30.101.273.64711
906.086.675.171.576.680.60921
24 159 22.865.150.13511
522.815.090.696.090.518.22521
23 156 13.579.355.05911
184.398.883.818.388.893.48121
22 137 10.207.355.54911
104.190.107.303.701.091.40121
21 130 10.106.064.39911
102.132.537.636.735.231.20121
20 113 2.481.623.25410
6.158.453.974.793.548.51619
19 112 2.062.386.21810
4.253.436.912.196.343.52419
18 95 306.930.6939
94.206.450.305.460.24917
17 69 30.001.2538
900.075.181.570.00915
16 67 12.866.6698
165.551.171.155.56115
15 66 12.028.2298
144.678.292.876.44115
14 65 11.129.3618
123.862.676.268.32115
13 56 3.069.3077
9.420.645.460.24913
12 55 2.294.6757
5.265.533.355.62513
11 54 2.012.7487
4.051.154.511.50413
10 51 1.270.8697
1.615.108.015.16113
9 44 1.042.1517
1.086.078.706.80113
8 31 30.6935
942.060.2499
7 30 24.8465
617.323.7169
6 29 22.8655
522.808.2259
5 20 2.6364
6.948.4967
4 19 2.2854
5.221.2257
3 14 3073
94.2495
2 13 2643
69.6965
1 7 262
6763


















Palindromic Squares with “Non_Palindromic” CORE Basenumbers
[TOP OF PAGE] [SUBSET A] [SUBSET B]
          
rood Full Listing


Serial
Number
Index Pseudopalindromic basenumberLength
Palindromic Square NumberLength
   
See also Sloane's A007573
73 1918 11.100.000.000.910.000.000.11123
123.210.000.020.202.000.003.292.300.000.202.020.000.012.32145
72 1865 11.000.010.000.910.001.000.01123
121.000.220.020.120.040.201.090.102.040.021.020.022.000.12145
71 1842 11.000.000.000.910.000.000.01123
121.000.000.020.020.000.001.070.100.000.020.020.000.000.12145
70 1812 10.101.000.009.901.000.010.10123
102.030.201.200.020.002.302.090.203.200.020.002.102.030.20145
69 1769 10.100.000.010.911.000.000.10123
102.010.000.220.402.200.121.090.121.002.204.022.000.010.20145
68 1766 10.100.000.009.901.000.000.10123
102.010.000.200.000.200.100.070.001.002.000.002.000.010.20145
67 1730 10.010.010.099.900.101.001.00123
100.200.302.200.102.030.022.090.220.030.201.002.203.002.00145
66 1721 10.010.001.099.900.110.001.00123
100.200.122.020.001.412.000.292.000.214.100.020.221.002.00145
65 1708 10.010.000.099.900.100.001.00123
100.200.102.000.000.012.000.070.000.210.000.000.201.002.00145
64 1674 10.001.001.099.900.110.010.00123
100.020.023.000.203.210.200.292.002.012.302.000.320.020.00145
63 1671 10.001.001.009.901.010.010.00123
100.020.021.200.041.022.120.090.021.220.140.002.120.020.00145
62 1666 10.001.000.999.900.010.010.00123
100.020.021.000.001.000.020.070.020.000.100.000.120.020.00145
61 1646 10.000.110.099.900.101.100.00123
100.002.202.010.124.010.002.292.200.010.421.010.202.200.00145
60 1641 10.000.110.000.910.001.100.00123
100.002.200.030.300.222.201.090.102.222.003.030.002.200.00145
59 1638 10.000.109.999.900.001.100.00123
100.002.200.010.100.000.000.272.000.000.001.010.002.200.00145
58 1353 111.000.000.091.000.000.11121
12.321.000.020.202.000.032.923.000.020.202.000.012.32141
57 1316 110.001.000.091.000.100.01121
12.100.220.021.020.204.010.901.040.202.012.002.200.12141
56 1293 110.000.000.091.000.000.01121
12.100.000.020.020.000.010.701.000.002.002.000.000.12141
55 1267 101.010.000.990.100.010.10121
10.203.020.300.020.005.020.902.050.002.000.302.030.20141
54 1256 101.001.000.990.100.100.10121
10.201.202.201.002.201.400.900.410.220.010.220.210.20141
53 1247 101.000.100.990.101.000.10121
10.201.020.400.010.601.020.902.010.601.000.402.010.20141
52 1234 101.000.001.091.100.000.10121
10.201.000.220.402.201.210.901.210.220.402.200.010.20141
51 1231 101.000.000.990.100.000.10121
10.201.000.200.000.201.000.700.010.200.000.200.010.20141
50 1209 100.101.009.990.010.101.00121
10.020.212.201.020.102.040.904.020.102.010.221.202.00141
49 1200 100.100.109.990.011.001.00121
10.020.032.020.012.300.202.920.200.321.002.023.002.00141
48 1187 100.100.009.990.010.001.00121
10.020.012.000.000.102.000.700.020.100.000.021.002.00141
47 1175 100.011.099.990.001.110.00121
10.002.220.121.210.000.024.942.000.001.212.102.220.00141
46 1164 100.010.109.990.011.010.00121
10.002.022.100.214.100.022.922.000.141.200.122.020.00141
45 1161 100.010.100.990.101.010.00121
10.002.020.300.050.203.020.902.030.205.000.302.020.00141
44 1156 100.010.099.990.001.010.00121
10.002.020.100.010.000.020.702.000.001.000.102.020.00141
43 934 1.110.000.009.100.000.11119
1.232.100.020.202.000.329.230.002.020.200.012.32137
42 903 1.100.010.009.100.100.01119
1.210.022.020.120.402.109.012.040.210.202.200.12137
41 888 1.100.000.009.100.000.01119
1.210.000.020.020.000.107.010.000.200.200.000.12137
40 866 1.010.100.099.010.010.10119
1.020.302.210.020.032.209.022.300.200.122.030.20137
39 845 1.010.000.109.110.000.10119
1.020.100.220.402.212.109.012.122.040.220.010.20137
38 842 1.010.000.099.010.000.10119
1.020.100.200.000.210.007.000.120.000.020.010.20137
37 812 1.001.000.999.001.001.00119
1.002.003.000.001.002.007.002.001.000.003.002.00137
36 798 1.000.110.099.010.110.00119
1.000.220.210.142.012.029.202.102.410.120.220.00137
35 795 1.000.110.009.100.110.00119
1.000.220.030.302.222.109.012.222.030.300.220.00137
34 792 1.000.109.999.000.110.00119
1.000.220.010.100.000.027.200.000.010.100.220.00137
33 622 11.100.000.910.000.11117
123.210.020.202.003.292.300.202.020.012.32133
32 603 11.001.000.910.010.01117
121.022.021.022.041.090.140.220.120.220.12133
31 588 11.000.000.910.000.01117
121.000.020.020.001.070.100.020.020.000.12133
30 570 10.101.009.901.010.10117
102.030.401.020.304.090.403.020.104.030.20133
29 563 10.100.109.901.100.10117
102.012.220.014.300.292.003.410.022.210.20133
28 556 10.100.010.911.000.10117
102.010.220.402.321.090.123.204.022.010.20133
27 553 10.100.009.901.000.10117
102.010.200.000.300.070.003.000.002.010.20133
26 545 10.011.099.900.111.00117
100.222.121.210.002.494.200.012.121.222.00133
25 536 10.010.109.901.101.00117
100.202.300.232.120.292.021.232.003.202.00133
24 531 10.010.099.900.101.00117
100.202.100.010.002.070.200.010.001.202.00133
23 402 111.000.091.000.11115
12.321.020.202.032.923.020.202.012.32129
22 387 110.010.091.010.01115
12.102.220.124.030.903.042.102.220.12129
21 378 110.000.091.000.01115
12.100.020.020.010.701.002.002.000.12129
20 364 101.010.990.110.10115
10.203.220.123.022.922.032.102.230.20129
19 357 101.001.091.100.10115
10.201.220.403.410.901.430.402.210.20129
18 354 101.000.990.100.10115
10.201.200.001.200.700.210.000.210.20129
17 346 100.110.990.111.00115
10.022.210.341.004.940.014.301.222.00129
16 343 100.110.091.011.00115
10.022.030.322.230.903.222.303.022.00129
15 340 100.109.990.011.00115
10.022.010.100.002.720.000.101.022.00129
14 251 1.110.009.100.11113
1.232.120.202.329.232.020.212.32125
13 244 1.101.009.101.01113
1.212.221.040.509.050.401.222.12125
12 235 1.100.009.100.01113
1.210.020.020.107.010.200.200.12125
11 229 1.011.099.011.10113
1.022.321.210.249.420.121.232.20125
10 222 1.010.109.110.10113
1.020.320.414.309.034.140.230.20125
9 219 1.010.099.010.10113
1.020.300.010.207.020.100.030.20125
8 151 11.100.910.11111
123.230.205.292.502.032.32121
7 146 11.010.911.01111
121.240.161.292.161.042.12121
6 141 11.000.910.01111
121.020.021.070.120.020.12121
5 134 10.110.911.10111
102.230.523.292.325.032.20121
4 131 10.109.901.10111
102.210.100.272.001.012.20121
3 90 111.091.1119
12.341.234.943.214.32117
2 85 110.091.0119
12.120.030.703.002.12117
1 48 1.109.1117
1.230.127.210.32113



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E-mail address : pdg@worldofnumbers.com