Welcome to p196.org!
The following are some of the "statistical" things I've found about the individual data sets.
Table Legend
The "Iteration Count" is the first iteration that produces a given data set. If there were more than one iteration that produced say a 6 million digit number, I only saved the first one.
The formula I used for the "Iteration / Digit Ratio" is: I/D.
The formula I used for the "Digit Pairs Processed" is: Digits(Iterations+7)/2.
| Digit Milestone | Iteration Count | Iteration / Digit Ratio | Digit Pairs Processed |
| 1 Million | 2,415,836 | 2 .4158360000 | 1,207,921,500,000 |
| 2 Million | 4,830,292 | 2 .4151460000 | 4,830,299,000,000 |
| 3 Million | 7,245,928 | 2 .4153093333 | 10,868,902,500,000 |
| 4 Million | 9,662,071 | 2 .4155177500 | 19,324,156,000,000 |
| 5 Million | 12,078,865 | 2 .4157730000 | 30,197,180,000,000 |
| 6 Million | 14,495,294 | 2 .4158823333 | 43,485,903,000,000 |
| 7 Million | 16,911,863 | 2 .4159804286 | 59,191,545,000,000 |
| 8 Million | 19,327,667 | 2 .4159583750 | 77,310,696,000,000 |
| 9 Million | 21,744,278 | 2 .4160308889 | 97,849,282,500,000 |
| 10 Million | 24,159,531 | 2 .4159531000 | 120,797,690,000,000 |
| 11 Million | 26,574,642 | 2 .4158765455 | 146,160,569,500,000 |
| 12 Million | 28,991,159 | 2 .4159299167 | 173,946,996,000,000 |
| 13 Million | 31,408,295 | 2 .4160226923 | 204,153,963,000,000 |
| 14 Million | 33,824,775 | 2 .4160553571 | 236,773,474,000,000 |
| 15 Million | 36,240,602 | 2 .4160401333 | 271,804,567,500,000 |
| 16 Million | 38,655,227 | 2 .4159516875 | 309,241,872,000,000 |
| 17 Million | 41,070,365 | 2 .4159038235 | 349,098,162,000,000 |
| 18 Million | 43,487,182 | 2 .4159545556 | 391,384,701,000,000 |
| 19 Million | 45,901,512 | 2 .4158690526 | 436,064,430,500,000 |
| 20 Million | 48,316,988 | 2 .4158494000 | 483,169,950,000,000 |
| 21 Million | 50,732,545 | 2 .4158354762 | 532,691,796,000,000 |
| 22 Million | 53,148,015 | 2 .4158188636 | 584,628,242,000,000 |
| 23 Million | 55,565,809 | 2 .4159047391 | 639,006,884,000,000 |
| 24 Million | 57,982,436 | 2 .4159348333 | 695,789,316,000,000 |
| 25 Million | 60,398,130 | 2 .4159252000 | 754,976,712,500,000 |
| 26 Million | 62,816,046 | 2 .4160017692 | 816,608,689,000,000 |
| 27 Million | 65,231,462 | 2. 4159800741 | 880,624,831,500,000 |
| 28 Million | 67,648,377 | 2. 4160134643 | 947,077,376,000,000 |
| 29 Million | 70,067,270 | 2. 4161127586 | 1,015,975,516,500,000 |
| 30 Million | 72,482,579 | 2. 4160859667 | 1,087,238,790,000,000 |
| 31 Million | 74,899,358 | 2. 4161083226 | 1,160,940,157,500,000 |
| 32 Million | 77,314,955 | 2. 4160923438 | 1,237,039,392,000,000 |
| 33 Million | 79,731,034 | 2. 4160919394 | 1,315,562,176,500,000 |
| 34 Million | 82,145,364 | 2. 4160401176 | 1,396,471,307,000,000 |
| 35 Million | 84,563,227 | 2. 4160922000 | 1,479,856,595,000,000 |
| 36 Million | 86,979,674 | 2. 4161020556 | 1,565,634,258,000,000 |
| 37 Million | 89,397,247 | 2. 4161418108 | 1,653,849,199,000,000 |
| 38 Million | 91,812,894 | 2. 4161287895 | 1,744,445,119,000,000 |
| 39 Million | 94,228,899 | 2. 4161256154 | 1,837,463,667,000,000 |
| 40 Million | 96,645,213 | 2. 4161303250 | 1,932,904,400,000,000 |
| 41 Million | 99,061,141 | 2. 4161253902 | 2,030,753,534,000,000 |
| 42 Million | 101,476,346 | 2. 4161034762 | 2,131,003,413,000,000 |
| 43 Million | 103,893,138 | 2. 4161194884 | 2,233,702,617,500,000 |
| 44 Million | 106,309,010 | 2. 4161138636 | 2,338,798,374,000,000 |
| 45 Million | 108,723,539 | 2. 4160786444 | 2,446,279,785,000,000 |
| 46 Million | 111,138,308 | 2. 4160501739 | 2,556,181,245,000,000 |
| 47 Million | 113,554,695 | 2. 4160573404 | 2,668,535,497,000,000 |
| 48 Million | 115,969,543 | 2. 4160321458 | 2,783,269,200,000,000 |
| 49 Million | 118,387,016 | 2. 4160615510 | 2,900,482,063,500,000 |
| 50 Million | 120,802,305 | 2. 4160461000 | 3,020,057,800,000,000 |
| 51 Million | 123,218,044 | 2. 4160400784 | 3,142,060,300,500,000 |
| 52 Million | 125,634,154 | 2. 4160414231 | 3,266,488,186,000,000 |
| 53 Million | 128,050,160 | 2. 4160407547 | 3,393,329,425,500,000 |
| 54 Million | 130,463,975 | 2. 4159995370 | 3,522,527,514,000,000 |
| 55 Million | 132,880,223 | 2. 4160040545 | 3,654,206,325,000,000 |
| 56 Million | 135,295,252 | 2. 4159866429 | 3,788,267,252,000,000 |
| 57 Million | 137,712,060 | 2. 4160010526 | 3,924,793,909,500,000 |
| 58 Million | 140,128,242 | 2. 4160041724 | 4,063,719,221,000,000 |
| 59 Million | 142,544,153 | 2. 4160025932 | 4,205,052,720,000,000 |
| 60 Million | 144,958,406 | 2. 4159734333 | 4,348,752,390,000,000 |
| 61 Million | 147,375,122 | 2. 4159856066 | 4,494,941,434,500,000 |
| 62 Million | 149,790,895 | 2. 4159821774 | 4,643,517,962,000,000 |
| 63 Million | 152,207,835 | 2. 4159973810 | 4,794,547,023,000,000 |
| 64 Million | 154,623,289 | 2. 4159888906 | 4,947,945,472,000,000 |
| 65 Million | 157,038,002 | 2. 4159692615 | 5,103,735,292,500,000 |
| 66 Million | 159,455,103 | 2. 4159864091 | 5,262,018,630,000,000 |
| 67 Million | 161,871,411 | 2. 4159912090 | 5,422,692,503,000,000 |
| 68 Million | 164,287,044 | 2. 4159859412 | 5,585,759,734,000,000 |
| 69 Million | 166,704,687 | 2. 4160099565 | 5,751,311,943,000,000 |
| 70 Million | 169,121,766 | 2. 4160252286 | 5,919,262,055,000,000 |
| 71 Million | 171,538,507 | 2. 4160353099 | 6,089,617,247,000,000 |
| 72 Million | 173,953,453 | 2. 4160201806 | 6,262,324,560,000,000 |
| 73 Million | 176,368,856 | 2. 4160117260 | 6,437,463,499,500,000 |
| 74 Million | 178,784,747 | 2. 4160100946 | 6,615,035,898,000,000 |
| 75 Million | 181,199,797 | 2. 4159972933 | 6,794,992,650,000,000 |
| 76 Million | 183,616,094 | 2. 4160012368 | 6,977,411,838,000,000 |
| 77 Million | 186,032,643 | 2. 4160083506 | 7,162,257,025,000,000 |
| 78 Million | 188,447,228 | 2. 4159901026 | 7,349,442,165,000,000 |
| 79 Million | 190,862,368 | 2. 4159793418 | 7,539,063,812,500,000 |
| 80 Million | 193,277,613 | 2. 4159701625 | 7,731,104,800,000,000 |
| 81 Million | 195,693,825 | 2. 4159731481 | 7,925,600,196,000,000 |
| 82 Million | 198,109,015 | 2. 4159635976 | 8,122,469,902,000,000 |
| 83 Million | 200,524,477 | 2. 4159575542 | 8,321,766,086,000,000 |
| 84 Million | 202,939,323 | 2. 4159443214 | 8,523,451,860,000,000 |
| 85 Million | 205,355,672 | 2. 4159490824 | 8,727,616,357,500,000 |
| 86 Million | 207,771,197 | 2. 4159441512 | 8,934,161,772,000,000 |
| 87 Million | 210,186,316 | 2. 4159346667 | 9,143,105,050,500,000 |
| 88 Million | 212,602,940 | 2. 4159425000 | 9,354,529,668,000,000 |
| 89 Million | 215,018,872 | 2. 4159423820 | 9,568,340,115,500,000 |
| 90 Million | 217,433,686 | 2. 4159298444 | 9,784,516,185,000,000 |
| 91 Million | 219,850,418 | 2. 4159386593 | 10,003,194,337,500,000 |
| 92 Million | 222,266,315 | 2. 4159382065 | 10,224,250,812,000,000 |
| 93 Million | 224,680,750 | 2. 4159220430 | 10,447,655,200,500,000 |
| 94 Million | 227,095,084 | 2. 4159051489 | 10,673,469,277,000,000 |
| 95 Million | 229,512,704 | 2. 4159232000 | 10,901,853,772,500,000 |
| 96 Million | 231,928,518 | 2. 4159220625 | 11,132,569,200,000,000 |
| 97 Million | 234,344,371 | 2. 4159213505 | 11,365,702,333,000,000 |
| 98 Million | 236,759,404 | 2. 4159122857 | 11,601,211,139,000,000 |
| 99 Million | 239,175,318 | 2. 4159123030 | 11,839,178,587,500,000 |
| 100 Million | 241,590,277 | 2. 4159027700 | 12,079,514,200,000,000 |
| 101 Million | 244,006,839 | 2. 4159092970 | 12,322,345,723,000,000 |
| 102 Million | 246,423,282 | 2. 4159145294 | 12,567,587,739,000,000 |
| 103 Million | 248,840,359 | 2. 4159258155 | 12,815,278,849,000,000 |
| 104 Million | 251,254,880 | 2. 4159123077 | 13,065,254,124,000,000 |
| 105 Million | 253,670,404 | 2. 4159086095 | 13,317,696,577,500,000 |
| 106 Million | 256,084,270 | 2. 4158893396 | 13,572,466,681,000,000 |
| 107 Million | 258,498,530 | 2. 4158741121 | 13,829,671,729,500,000 |
| 108 Million | 260,914,435 | 2. 4158743981 | 14,089,379,868,000,000 |
| 109 Million | 263,328,945 | 2. 4158618807 | 14,351,427,884,000,000 |
| 110 Million | 265,745,475 | 2. 4158679545 | 14,616,001,510,000,000 |
| 111 Million | 268,160,697 | 2. 4158621351 | 14,882,919,072,000,000 |
| 112 Million | 270,575,863 | 2. 4158559196 | 15,152,248,720,000,000 |
| 113 Million | 272,991,794 | 2. 4158565841 | 15,424,036,756,500,000 |
| 114 Million | 275,405,890 | 2. 4158411404 | 15,698,136,129,000,000 |
| 115 Million | 277,820,730 | 2. 4158324348 | 15,974,692,377,500,000 |
| 116 Million | 280,236,256 | 2. 4158297931 | 16,253,703,254,000,000 |
| 117 Million | 282,651,618 | 2. 4158257949 | 16,535,120,062,500,000 |
| 118 Million | 285,066,604 | 2. 4158186780 | 16,818,930,049,000,000 |
| 119 Million | 287,481,429 | 2. 4158103277 | 17,105,145,442,000,000 |
| 120 Million | 289,896,907 | 2. 4158075583 | 17,393,814,840,000,000 |
| 121 Million | 292,311,641 | 2. 4157986860 | 17,684,854,704,000,000 |
| 122 Million | 294,727,521 | 2. 4157993525 | 17,978,379,208,000,000 |
| 123 Million | 297,143,533 | 2. 4158010813 | 18,274,327,710,000,000 |
| 124 Million | 299,557,657 | 2. 4157875565 | 18,572,575,168,000,000 |
| 125 Million | 301,974,027 | 2. 4157922160 | 18,873,377,125,000,000 |
| 126 Million | 304,389,137 | 2. 4157868016 | 19,176,516,072,000,000 |
| 127 Million | 306,805,299 | 2. 4157897559 | 19,482,136,931,000,000 |
| 128 Million | 309,221,256 | 2. 4157910625 | 19,790,160,832,000,000 |
| 129 Million | 311,637,141 | 2. 4157917907 | 20,100,596,046,000,000 |
| 130 Million | 314,052,527 | 2. 4157886692 | 20,413,414,710,000,000 |
| 131 Million | 316,468,413 | 2. 4157894122 | 20,728,681,510,000,000 |
| 132 Million | 318,884,030 | 2. 4157881061 | 21,046,346,442,000,000 |
| 133 Million | 321,299,093 | 2. 4157826541 | 21,366,390,150,000,000 |
| 134 Million | 323,715,600 | 2. 4157880597 | 21,688,945,669,000,000 |
| 135 Million | 326,131,076 | 2. 4157857481 | 22,013,848,102,500,000 |
| 136 Million | 328,547,998 | 2. 4157941029 | 22,341,264,340,000,000 |
| 137 Million | 330,963,887 | 2. 4157947956 | 22,671,026,739,000,000 |
| 138 Million | 333,379,370 | 2. 4157925362 | 23,003,177,013,000,000 |
| 139 Million | 335,795,486 | 2. 4157948633 | 23,337,786,763,500,000 |
| 140 Million | 338,210,775 | 2. 4157912500 | 23,674,754,740,000,000 |
| 141 Million | 340,626,948 | 2. 4157939574 | 24,014,200,327,500,000 |
| 142 Million | 343,043,659 | 2. 4158004155 | 24,356,100,286,000,000 |
| 143 Million | 345,459,815 | 2. 4158029021 | 24,700,377,273,000,000 |
| 144 Million | 347,875,673 | 2. 4158032847 | 25,047,048,960,000,000 |
| 145 Million | 350,292,487 | 2. 4158102552 | 25,396,205,815,000,000 |
| 146 Million | 352,708,290 | 2. 4158102055 | 25,747,705,681,000,000 |
| 147 Million | 355,125,177 | 2. 4158175306 | 26,101,701,024,000,000 |
| 148 Million | 357,540,909 | 2. 4158169527 | 26,458,027,784,000,000 |
| 149 Million | 359,956,876 | 2. 4158179597 | 26,816,787,783,500,000 |
| 150 Million | 362,372,813 | 2. 4158187533 | 27,177,961,500,000,000 |
| 151 Million | 364,788,891 | 2. 4158204702 | 27,541,561,799,000,000 |
| 152 Million | 367,204,161 | 2. 4158168487 | 27,907,516,768,000,000 |
| 153 Million | 369,619,640 | 2. 4158146405 | 28,275,902,995,500,000 |
| 154 Million | 372,035,743 | 2. 4158165130 | 28,646,752,750,000,000 |
| 155 Million | 374,450,389 | 2. 4158089613 | 29,019,905,690,000,000 |
| 156 Million | 376,866,208 | 2. 4158090256 | 29,395,564,770,000,000 |
| 157 Million | 379,281,305 | 2. 4158044904 | 29,773,582,992,000,000 |
| 158 Million | 381,697,126 | 2. 4158045949 | 30,154,073,507,000,000 |
| 159 Million | 384,113,355 | 2. 4158072642 | 30,537,012,279,000,000 |
| 160 Million | 386,529,610 | 2. 4158100625 | 30,922,369,360,000,000 |
| 161 Million | 388,944,754 | 2. 4158059255 | 31,310,053,260,500,000 |
| 162 Million | 391,360,944 | 2. 4158082963 | 31,700,237,031,000,000 |
| 163 Million | 393,776,305 | 2. 4158055521 | 32,092,769,428,000,000 |
| 164 Million | 396,192,233 | 2. 4158062988 | 32,487,763,680,000,000 |
| 165 Million | 398,607,648 | 2. 4158039273 | 32,885,131,537,500,000 |
| 166 Million | 401,023,403 | 2. 4158036325 | 33,284,943,030,000,000 |
| 167 Million | 403,439,651 | 2. 4158062934 | 33,687,211,443,000,000 |
| 168 Million | 405,856,956 | 2. 4158152143 | 34,091,984,892,000,000 |
| 169 Million | 408,272,435 | 2. 4158132249 | 34,499,021,349,000,000 |
| 170 Million | 410,688,792 | 2. 4158164235 | 34,908,547,915,000,000 |
| 171 Million | 413,104,065 | 2. 4158132456 | 35,320,398,156,000,000 |
| 172 Million | 415,517,439 | 2. 4157990640 | 35,734,500,356,000,000 |
| 173 Million | 417,933,403 | 2. 4158000173 | 36,151,239,965,000,000 |
| 174 Million | 420,349,873 | 2. 4158038678 | 36,570,439,560,000,000 |
| 175 Million | 422,765,244 | 2. 4158013943 | 36,991,959,462,500,000 |
| 176 Million | 425,181,055 | 2. 4158014489 | 37,415,933,456,000,000 |
| 177 Million | 427,599,027 | 2. 4158137119 | 37,842,514,509,000,000 |
| 178 Million | 430,016,536 | 2. 4158232360 | 38,271,472,327,000,000 |
| 179 Million | 432,433,414 | 2. 4158291285 | 38,702,791,179,500,000 |
| 180 Million | 434,849,911 | 2. 4158328389 | 39,136,492,620,000,000 |
| 181 Million | 437,267,293 | 2. 4158413978 | 39,572,690,650,000,000 |
| 182 Million | 439,682,132 | 2. 4158358901 | 40,011,074,649,000,000 |
| 183 Million | 442,097,346 | 2. 4158324918 | 40,451,907,799,500,000 |
| 184 Million | 444,512,168 | 2. 4158270000 | 40,895,120,100,000,000 |
| 185 Million | 446,927,453 | 2. 4158240703 | 41,340,790,050,000,000 |
| 186 Million | 449,343,164 | 2. 4158234624 | 41,788,914,903,000,000 |
| 187 Million | 449,343,164 | 2. 4158237594 | 42,239,471,175,000,000 |
| 188 Million | 454,174,655 | 2. 4158226330 | 42,692,418,228,000,000 |
| 189 Million | 456,588,593 | 2. 4158126614 | 43,147,622,700,000,000 |
| 190 Million | 459,004,983 | 2. 4158157000 | 43,605,474,050,000,000 |
| 191 Million | 461,419,218 | 2. 4158074241 | 44,065,535,987,500,000 |
| 192 Million | 463,835,090 | 2. 4158077604 | 44,528,169,312,000,000 |
| 193 Million | 466,250,388 | 2. 4158051192 | 44,993,163,117,500,000 |
| 194 Million | 468,667,675 | 2. 4158127577 | 45,460,765,154,000,000 |
| 195 Million | 471,085,391 | 2. 4158225179 | 45,930,826,305,000,000 |
| 196 Million | 473,503,339 | 2. 4158333622 | 46,403,327,908,000,000 |
| 197 Million | 475,919,151 | 2. 4158332538 | 46,878,037,063,000,000 |
| 198 Million | 478,335,425 | 2. 4158354798 | 47,355,207,768,000,000 |
| 199 Million | 480,750,860 | 2. 4158334673 | 47,834,711,266,500,000 |
| 200 Million | 483,166,859 | 2. 4158342950 | 48,316,686,600,000,000 |
| 201 Million | 485,581,911 | 2. 4158304030 | 48,800,982,759,000,000 |
| 202 Million | 487,996,904 | 2. 4158262574 | 49,287,688,011,000,000 |
| 203 Million | 490,413,021 | 2. 4158276897 | 49,776,922,342,000,000 |
| 204 Million | 492,829,843 | 2. 4158325637 | 50,268,644,700,000,000 |
| 205 Million | 495,245,922 | 2. 4158337659 | 50,762,707,722,500,000 |
| 206 Million | 497,662,056 | 2. 4158352233 | 51,259,192,489,000,000 |
| 207 Million | 500,077,852 | 2. 4158350338 | 51,758,058,406,500,000 |
| 208 Million | 502,495,484 | 2. 4158436731 | 52,259,531,064,000,000 |
| 209 Million | 504,913,664 | 2. 4158548517 | 52,763,478,619,500,000 |
| 210 Million | 507,329,950 | 2. 4158569048 | 53,269,645,485,000,000 |
| 211 Million | 509,745,400 | 2. 4158549763 | 53,778,140,438,500,000 |
| 212 Million | 512,162,233 | 2. 4158595896 | 54,289,197,440,000,000 |
| 213 Million | 514,577,796 | 2. 4158581972 | 54,802,536,019,500,000 |
| 214 Million | 516,992,665 | 2. 4158535748 | 55,318,215,904,000,000 |
| 215 Million | 519,408,582 | 2. 4158538698 | 55,836,423,317,500,000 |
| 216 Million | 521,825,691 | 2. 4158596806 | 56,357,175,384,000,000 |
| 217 Million | 524,242,175 | 2. 4158625576 | 56,880,276,747,000,000 |
| 218 Million | 526,658,409 | 2. 4158642615 | 57,405,767,344,000,000 |
| 219 Million | 529,075,350 | 2. 4158691781 | 57,933,751,591,500,000 |
| 220 Million | 531,491,865 | 2. 4158721136 | 58,464,105,920,000,000 |
| 221 Million | 533,907,350 | 2. 4158703620 | 58,996,762,948,500,000 |
| 222 Million | 536,322,341 | 2. 4158664009 | 59,531,780,628,000,000 |
| 223 Million | 538,737,263 | 2. 4158621659 | 60,069,205,605,000,000 |
| 224 Million | 541,153,446 | 2. 4158635982 | 60,609,186,736,000,000 |
| 225 Million | 543,569,184 | 2. 4158630400 | 61,151,533,987,500,000 |
| 226 Million | 545,986,095 | 2. 4158676770 | 61,696,429,526,000,000 |
| 227 Million | 548,402,519 | 2. 4158701278 | 62,243,686,701,000,000 |
| 228 Million | 550,818,415 | 2. 4158702412 | 62,793,300,108,000,000 |
| 229 Million | 553,233,019 | 2. 4158647118 | 63,345,181,477,000,000 |
| 230 Million | 555,650,203 | 2. 4158704478 | 63,899,774,150,000,000 |
| 231 Million | 558,065,511 | 2. 4158680130 | 64,456,567,329,000,000 |
| 232 Million | 560,480,471 | 2. 4158640991 | 65,015,735,448,000,000 |
| 233 Million | 562,896,706 | 2. 4158656910 | 65,577,467,064,500,000 |
| 234 Million | 565,311,914 | 2. 4158628803 | 66,141,494,757,000,000 |
NOTE: Berend Jan van der Zwaag of the Netherlands has brought to my attention that the palindromes checked for in the table below are possibly in error. His results differ from my own. I am looking into it, and will correct them as I find out who is correct. (Although I suspect that it's probably Berend who is correct....)
Below is a some data of the palindromes found within some files of very large numbers. Most of the data files are the results from this 196 quest, but in order to have a larger sample, I gathered some number files off of the web. I do not care if the calculations of the number files are accurate, (except for the 196 files I DO WANT THOSE TO BE ACCURATE!! :-) ) my goal was to just gather some very large number sets, and test them for palindromes.
Table Legend
The "Data Set Basis" is a general idea of what was being calculated to find the number. Most of them are my own 196 files.
"File Length" is the number of digits in the file claimed by the author. I didn't count the digits in other people's files, so I just have to trust that they were careful.
"File Location" is where I found the file from on the internet. Again, most of these are my own local files, but I provide a URL to the ones I can, from the internet, in case someone would like to verify my findings. (This would not hurt my feelings!!!)
"# of Even Pals" is how many palindromes of 6 digits long or greater that I found, which have an EVEN number of digits.
"# of Odd Pals" is how many palindromes of 7 digits long or greater that I found, which have an ODD number of digits.
"Percentage" is the percentage of even finds to odds.
| Data Set Basis | File Length | File Location | # of Even Pals | # of Odd Pals | Percentage |
| SQRT 2 | 2,000,000 | Robert Nemiroff and Jerry Bonnell | 948 | 1,649 | 57 |
| SQRT 5 | 1,000,000 | Robert Nemiroff and Jerry Bonnell | 655 | 906 | 72 |
| SQRT 6 | 1,000,000 | Robert Nemiroff and Jerry Bonnell | 625 | 918 | 68 |
| SQRT 7 | 1,000,000 | Robert Nemiroff and Jerry Bonnell | 628 | 905 | 69 |
| SQRT 8 | 1,000,000 | Robert Nemiroff and Jerry Bonnell | 591 | 872 | 67 |
| SQRT 10 | 1,000,000 | Robert Nemiroff and Jerry Bonnell | 646 | 868 | 74 |
| 196 Calc | 1,000,000 | Local File | 722 | 887 | 81 |
| 196 Calc | 2,000,000 | Local File | 1,033 | 1,754 | 59 |
| 196 Calc | 3,000,000 | Local File | 1,229 | 2,401 | 51 |
| 196 Calc | 4,000,000 | Local File | 1,304 | 3,154 | 41 |
| 196 Calc | 5,000,000 | Local File | 1,559 | 3,687 | 42 |
| 196 Calc | 6,000,000 | Local File | 1,583 | 4,334 | 37 |
| 196 Calc | 7,000,000 | Local File | 1,532 | 4,645 | 33 |
| 196 Calc | 8,000,000 | Local File | 1,669 | 5,320 | 31 |
| 196 Calc | 9,000,000 | Local File | 1,659 | 5,643 | 29 |
| 196 Calc | 10,000,000 | Local File | 2,435 | 6,164 | 40 |
| 196 Calc | 11,000,000 | Local File | 2,134 | 6,434 | 33 |
| 196 Calc | 12,000,000 | Local File | 2,061 | 6,928 | 30 |
| 196 Calc | 13,000,000 | Local File | 4,641 | 6,925 | 67 |
| 196 Calc | 14,000,000 | Local File | 2,098 | 7,317 | 29 |
| 196 Calc | 15,000,000 | Local File | 2,290 | 7,925 | 29 |
| 196 Calc | 16,000,000 | Local File | 2,624 | 7,758 | 34 |
| 196 Calc | 17,000,000 | Local File | 2,660 | 8,041 | 33 |
| 196 Calc | 18,000,000 | Local File | 2,426 | 8,702 | 28 |
| 196 Calc | 19,000,000 | Local File | 2,700 | 8,910 | 30 |
| 196 Calc | 20,000,000 | Local File | 3,036 | 9,036 | 34 |
| 196 Calc | 21,000,000 | Local File | 2,997 | 8,945 | 34 |
| 196 Calc | 22,000,000 | Local File | 3,111 | 9,324 | 33 |
| 196 Calc | 23,000,000 | Local File | 3,219 | 9,404 | 34 |
| 196 Calc | 24,000,000 | Local File | 2,713 | 10,028 | 27 |
| 196 Calc | 25,000,000 | Local File | 5,161 | 10,299 | 50 |
| 196 Calc | 26,000,000 | Local File | 7,266 | 9,978 | 73 |
| 196 Calc | 27,000,000 | Local File | 2,999 | 10,631 | 28 |
| 196 Calc | 28,000,000 | Local File | 3,608 | 10,264 | 35 |
| 196 Calc | 29,000,000 | Local File | 3,773 | 10,438 | 36 |
| 196 Calc | 30,000,000 | Local File | 3,406 | 10,550 | 32 |
| 196 Calc | 31,000,000 | Local File | 3,925 | 10,676 | 37 |
| 196 Calc | 32,000,000 | Local File | 4,054 | 10,782 | 38 |
| 196 Calc | 33,000,000 | Local File | 3,815 | 11,218 | 34 |
| 196 Calc | 34,000,000 | Local File | 4,391 | 11,336 | 39 |
| 196 Calc | 35,000,000 | Local File | 3,548 | 11,607 | 31 |
| 196 Calc | 36,000,000 | Local File | 4,074 | 11,650 | 35 |
| 196 Calc | 37,000,000 | Local File | 3,848 | 11,739 | 33 |
| 196 Calc | 38,000,000 | Local File | 3,814 | 11,930 | 32 |
| 196 Calc | 39,000,000 | Local File | 4,231 | 12,005 | 35 |
| 196 Calc | 40,000,000 | Local File | 4,699 | 11,870 | 40 |
I find this very interesting!! There are the same number of even digit palindromes as odd ones, from here to infinity. Yet, in every single test case above, there are about 3 times as many odd digit palindromes as evens. Even though I am technically starting with a harder search, because there are more digits. (This holds true for the other data sets that I don't have listed above, as well...)
If I had to guess the reason for this, I would say that it has to do with the probability of the double digit in the middle of the evens.
Richard Farmbrough from the United Kingdom sent me the following:
I am interested in your observations on even/odd pal distributions.
Your suggested reason (double digit) is not valid because XX has the same probability as XYX (where Y can be = or <> X).In both cases this is 10%.
Rgds,
Richard.
I've never seen anyone discussing this on any of the pages that I have read. Does anyone have any input??