F_ba Decomposition of the basenumber in its prime factors. F_pp Decomposition of the palindromic pentagonal. Note : a palindromic pentagonal will always be divisible by its basenumber when this last one is 'odd'. With 'even' basenumbers you'll notice that the pentagonals are always divisible by half their basenumbers. To reconstruct the pentagonals you must take into account the green together with the purple prime factors but not the black 2. Date Date of discovery by the author. Hypertext links to related topics in number theory Comm Comments about the palindromic pentagonal number.
[58] F_ba 128481111918761748263908 = 2 x 2 x 7 x 19 x 241505849471356669669 F_pp 24761094179822073249932323994237022897149016742 = 71 x 60659 x 11347379 x 7886991733 Date January 6, 2008 (Feng Yuan) [57] F_ba 4181240246129576678503 = 7 x 13 x 2053 x 22380757434200161 F_pp 26224154993780584443322334448508739945142262 = 2 x 11 x 91297 x 3122606024689831 Date January 5, 2008 (Feng Yuan) [56] F_ba 1161338314703013743743 = 19 x 173 x 928159 x 380659497671 F_pp 2023060021795854282372732824585971200603202 = 2 x 9733 x 13901 x 6437648365279 Date January 6, 2008 (Feng Yuan) [55] F_ba 101908013398232552381 = 13 x 43 x 113 x 47431 x 34013850853 F_pp 15577864792161518113031181516129746877551 = 2843 x 53767857930829697 Date January 3, 2008 (Feng Yuan) [54] F_ba 32178927183122554461 = 3 x 3 x 3 x 3 x 3 x 11 x 12038506241347757 F_pp 1553225031985055486446845505891305223551 = 89 x 479 x 170341 x 6646884121 Date January 3, 2008 (Feng Yuan) [53] F_ba 642912991153879996 = 2 x 2 x 11 x 41 x 2042077 x 174519337 F_pp 620005671291643466664346192176500026 = 53 x 36391301386068679 Date January 6, 2008 (Feng Yuan) [52] F_ba 222497695855916654 = 2 x 11551 x 9631101023977 F_pp 74257836991787986368978719963875247 = 7 x 95356155366821423 Date January 6, 2008 (Feng Yuan) [51] F_ba 64541848291142556 = 2 x 2 x 3 x 37 x 3156121 x 46057969 F_pp 6248475271255291881925521725748426 = 7 x 11 x 11 x 13 x 17584737523697 Date January 6, 2008 (Feng Yuan) [50] F_ba 1343985615421963 = 179 x 563 x 13336233619 F_pp 2709446001691728271961006449072 = 2 x 2 x 2 x 2 x 510331 x 246895939 Date April 2, 2002 (Feng Yuan) [49] F_ba 1331901641608903 = 17 x 718007 x 109117537 F_pp 2660942974380735370834792490662 = 2 x 97 x 345133 x 29838377 Date April 2, 2002 (Feng Yuan) [48] F_ba 192460705375190 = 2 x 5 x 7 x 87797 x 31315861 F_pp 55561684670273437207648616555 = 29 x 41 x 1439 x 337458739 Date August 5, 2000 (Patrick De Geest) [47] F_ba 189271045290605 = 5 x 7573 x 4998575077 F_pp 53735292878097279087829253735 = 7 x 17 x 127447 x 18719699 [46] F_ba 62640018209362 = 2 x 11 x 2847273554971 F_pp 5885657821903773091287565885 = 5 x 13 x 13 x 97 x 2292686569 [45] F_ba 62407875352937 = 3041 x 20522155657 F_pp 5842114359101551019534112485 = 5 x 11 x 1702032964171 [44] F_ba 22073207482889 = 64609 x 341642921 F_pp 730839732873989378237938037 = 33109811224333 [43] F_ba 8505462902906 = 2 x 4252731451453 F_pp 108514348789060987843415801 = 1229 x 20761911073 [42] F_ba 6106091136277 = 11 x 293 x 1894536499 F_pp 55926523446777764432562955 = 5 x 199 x 9205162517 [41] F_ba 3690877000943 = 11 x 101 x 3322121513 F_pp 20433859554133145595833402 = 2 x 1327 x 2293 x 909737 [40] F_ba 2704211220546 = 2 x 3 x 3 x 11 x 6907 x 1977361 F_pp 10969137487988978473196901 = 8112633661637 [39] F_ba 2269269065474 = 2 x 47 x 349 x 69172379 F_pp 7724373137274727313734277 = 7 x 11 x 233 x 239 x 1587679 [38] F_ba 2118668671851 = 3 x 107 x 31817 x 207443 F_pp 6733135411623261145313376 = 2 x 2 x 2 x 2 x 2 x 66271 x 1498583 [37] F_ba 1199186171664 = 2 x 2 x 2 x 2 x 3 x 13 x 37 x 463 x 112181 F_pp 2157071211464641121707512 = 7 x 53 x 9696923221 [36] F_ba 100208264581 = 2383 x 42051307 F_pp 15062544435453444526051 = 7 x 13 x 29 x 56958089 [35] F_ba 72507025789 = 11 x 9871 x 667769 F_pp 7885903183113813095887 = 71 x 613 x 2498921 [34] F_ba 20483169156 = 2 x 2 x 3 x 3 x 23 x 2851 x 8677 F_pp 629340327999723043926 = 401 x 153240667 [33] F_ba 18517422797 = 23 x 805105339 F_pp 514342420555024243415 = 5 x 42641 x 130279 [32] F_ba 18306458265 = 3 x 5 x 107 x 157 x 72649 F_pp 502689621303126986205 = 127 x 216218011 [31] F_ba 6693818696 = 2 x 2 x 2 x 367 x 2279911 F_pp 67210813099031801276 = 7 x 11 x 11 x 29 x 817549 [30] F_ba 2049123156 = 2 x 2 x 3 x 127 x 1344569 F_pp 6298358561658538926 = 6147369467 [29] F_ba 1345679688 = 2 x 2 x 2 x 3 x 56069987 F_pp 2716280733370826172 = 311 x 317 x 40949 [28] F_ba 851649306 = 2 x 3 x 17 x 47 x 59 x 3011 F_pp 1087959810189597801 = 19 x 67 x 2007029 [27] F_ba 818049201 = 3 x 6449 x 42283 F_pp 1003806742476083001 = 1227073801 [26] F_ba 700457153 = 11 x 457 x 139339 F_pp 735960334433069537 = 101 x 10402829 [25] F_ba 316882086 = 2 x 3 x 23 x 2296247 F_pp 150621384483126051 = 11 x 86422387 [24] F_ba 225563533 = 13 x 31 x 347 x 1613 F_pp 76318361016381367 = 577 x 586387 [23] F_ba 100058581 = 7 x 257 x 55619 F_pp 15017579397571051 = 839 x 178889 [22] F_ba 84885761 = 827 x 102643 F_pp 10808388588380801 = 11 x 2647 x 4373 [21] F_ba 59401650 = 2 x 3 x 5 x 5 x 7 x 11 x 37 x 139 F_pp 5292834004382925 = 13 x 1619 x 8467 [20] F_ba 13280839 = 11 x 11 x 13 x 8443 F_pp 264571020175462 = 2 x 7 x 61 x 23327 [19] F_ba 2684561 = 11 x 109 x 2239 F_pp 10810300301801 = 7 x 13 x 17 x 19 x 137 [18] F_ba 1979130 = 2 x 3 x 5 x 37 x 1783 F_pp 5875432345785 = 5937389 [17] F_ba 1965117 = 3 x 7 x 11 x 47 x 181 F_pp 5792526252975 = 5 x 5 x 157 x 751 [16] F_ba 1258723 = PRIME F_pp 2376574756732 = 2 x 2 x 11 x 11 x 47 x 83 [15] F_ba 44059 = PRIME F_pp 2911771192 = 2 x 2 x 2 x 11 x 751 [14] F_ba 31926 = 2 x 3 x 17 x 313 F_pp 1528888251 = 11 x 8707 [13] F_ba 26906 = 2 x 11 x 1223 F_pp 1085885801 = 7 x 13 x 887 [12] F_ba 26466 = 2 x 3 x 11 x 401 F_pp 1050660501 = 79397 [11] F_ba 6010 = 2 x 5 x 601 F_pp 54177145 = 11 x 11 x 149 [10] F_ba 4228 = 2 x 2 x 7 x 151 F_pp 26811862 = 11 x 1153 [9] F_ba 2229 = 3 x 743 F_pp 7451547 = 3343 [8] F_ba 2173 = 41 x 53 F_pp 7081807 = 3259 [7] F_ba 693 = 3 x 3 x 7 x 11 F_pp 720027 = 1039 [6] F_ba 101 = PRIME F_pp 15251 = 151 [5] F_ba 44 = 2 x 2 x 11 F_pp 2882 = 131 [4] F_ba 26 = 2 x 13 F_pp 1001 = 7 x 11 [3] F_ba 4 = 2 x 2 F_pp 22 = 11 [2] F_ba 2 = PRIME F_pp 5 = PRIME [1] F_ba 1 = 1 F_pp 1 = 1
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