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Gilda (numeri di)

Rappresentazione dei numeri 

I numeri di Gilda sono i numeri naturali di almeno due cifre contenuti in una sequenza di numeri di Fibonacci generalizzati, che inizia con Formula per la definizione del primo numero della sequenza e Formula per la definizione del secondo numero della sequenza, dove a1, a2, … an sono le cifre della rappresentazione decimale del numero.

Per esempio, 152 è un numero di Gilda, perché |1 – 5 – 2| = 6 e 1 + 5 + 2 = 8; la sequenza che inizia con 6 e 8, nella quale ogni numero è la somma dei due precedenti, inizia con 6, 8, 14, 22, 36, 58, 94, 152 e contiene, appunto, 152.

 

La definizione si deve a Felice Russo, che nel 2000 investigò su questi numeri e diede loro il nome di sua figlia, Gilda.

Questi numeri condividono quindi con i numeri di Rhondadi Ruth – Aarondi Smith la poco comune caratteristica di avere il nome di persone che non hanno contributo in alcun modo alla loro scoperta o al loro studio.

 

Non è noto se i numeri di Gilda siano infiniti o meno.

 

La definizione si può estendere a qualsiasi base; la tabella seguente mostra i numeri di Gilda fino a 109 nelle basi fino a 20 (M. Fiorentini, 2018).

Base

Numeri di Gilda

2

2 = 102, 6 = 1102, 7 = 1112, 8 = 10002, 10 = 10102, 11 = 10112, 55 = 1101112, 68 = 10001002, 76 = 10011002, 178 = 101100102, 233 = 111010012, 288 = 1001000002, 322 = 1010000102, 521 = 10000010012, 754 = 10111100102, 1220 = 100110001002, 1453 = 101101011012, 2351 = 1001001011112, 4181 = 10000010101012, 5168 = 10100001100002, 21892 = 1010101100001002, 55717 = 11011001101001012, 69247 = 100001110011111112, 92736 = 101101010010000002, 150050 = 1001001010001000102, 289154 = 10001101001100000102, 842986 = 110011011100111010102, 1121194 = 1000100011011101010102, 2206966 = 10000110101100111101102, 2599802 = 10011110101011011110102, 2935324 = 10110011001010000111002, 4749454 = 100100001111000100011102, 6806370 = 110011111011011011000102, 8395425 = 1000000000011010101000012, 8516818 = 1000000111110100110100102, 17819308 = 10000111111100110101011002, 36077820 = 100010011010000000111111002, 64078026 = 111101000111000000110010102, 85225494 = 1010001010001110000000101102, 137897746 = 10000011100000100111000100102, 182688802 = 10101110001110011100001000102, 212549506 = 11001010101100111111100000102, 271438874 = 100000010110111010100000110102, 392227959 = 101110110000011101100011101112, 478285493 = 111001000001000001110101101012, 556461831 = 1000010010101011101111000001112, 647390212 = 1001101001011001100100000001002, 712814507 = 1010100111110010101111101010112

3

3 = 103, 4 = 113, 6 = 203, 7 = 213, 8 = 223, 10 = 1013, 11 = 1023, 16 = 1213, 20 = 2023, 29 = 10023, 42 = 11203, 71 = 21223, 73 = 22013, 89 = 100223, 110 = 110023, 131 = 112123, 152 = 121223, 191 = 210023, 288 = 1012003, 398 = 1122023, 576 = 2101003, 665 = 2201223, 754 = 10002213, 987 = 11001203, 1042 = 11021213, 1220 = 12000123, 1508 = 20012123, 3859 = 120212213, 4414 = 200011113, 5401 = 211020013, 6388 = 222021213, 7142 = 1002101123, 9116 = 1101111223, 10103 = 1112120123, 11556 = 1202120003, 13064 = 1222202123, 15127 = 2022020213, 16724 = 2112211023, 21892 = 10100002113, 34435 = 12020201013, 50549 = 21201000123, 76012 = 102120210213, 82777 = 110121122113, 136520 = 202210210223, 167761 = 221120101013, 178707 = 1000020102103, 199002 = 1010022221103, 242786 = 1101000010023, 264678 = 1111100012203, 321992 = 1211002001223, 386071 = 2011211202213, 613730 = 10110112122023, 842986 = 11202111002013, 1160797 = 20112220221113, 1271244 = 21011202110103, 1392637 = 21212021000113, 1814130 = 101020111120003, 1849552 = 101102220022213, 3328160 = 200210021010123, 3963782 = 211101010212023, 4281593 = 220011120201123, 6806370 = 1102102101202103, 9377515 = 1221221021121013, 11041595 = 2022022220122223, 15126770 = 10011101120002023, 20511846 = 11021210022220003, 33703093 = 21001020212212013, 35881402 = 21111112220002113, 42416329 = 22212102220210113, 52672252 = 102000100002020113, 53700710 = 102020010211120123, 67799022 = 112011201122022203, 93938730 = 201122021202010203, 177500144 = 1101002222211021023, 440543593 = 10102002212210121013, 488859227 = 10210012121212100223, 556461831 = 11022100020120101103, 712814507 = 12112000212012000223

4

11 = 234, 18 = 1024, 31 = 1334, 61 = 3314, 68 = 10104, 89 = 11214, 136 = 20204, 204 = 30304, 343 = 111134, 398 = 120324, 508 = 133304, 754 = 233024, 864 = 312004, 966 = 330124, 2207 = 2021334, 4181 = 10011114, 8362 = 20022224, 11323 = 23003234, 12543 = 30033334, 13907 = 31211034, 18698 = 102100224, 21282 = 110302024, 26450 = 121311024, 29034 = 130112224, 31618 = 132320024, 34812 = 201333304, 53133 = 303320314, 531940 = 20013132104, 803383 = 30100203134, 878408 = 31121310204, 953433 = 32203011214, 1606766 = 120201012324, 2253334 = 202120201124, 2485174 = 211322323124, 5795623 = 1120123302134, 6292141 = 1200000222314, 8713236 = 2010331001104, 11041595 = 2220132303234, 44594638 = 22220131130324, 65938524 = 33232021011304, 92592461 = 112010312110314, 121106896 = 130313330131004, 161223523 = 212130010312034, 162373374 = 212231213233324, 186213380 = 230121121000104, 227994087 = 312112322132134, 440543593 = 1221002022112214, 643865634 = 2121200213002024, 848533944 = 3022103212123204

5

5 = 105, 6 = 115, 7 = 125, 10 = 205, 11 = 215, 12 = 225, 14 = 245, 15 = 305, 16 = 315, 17 = 325, 18 = 335, 20 = 405, 21 = 415, 22 = 425, 23 = 435, 24 = 445, 26 = 1015, 42 = 1325, 52 = 2025, 58 = 2135, 71 = 2415, 78 = 3035, 104 = 4045, 173 = 11435, 178 = 12035, 194 = 12345, 356 = 24115, 479 = 34045, 529 = 41045, 644 = 100345, 733 = 104135, 754 = 110045, 822 = 112425, 1089 = 133245, 1508 = 220135, 2152 = 321025, 3482 = 1024125, 3859 = 1104145, 4236 = 1134215, 4613 = 1214235, 4990 = 1244305, 5367 = 1324325, 5634 = 1400145, 5744 = 1404345, 6121 = 1434415, 6388 = 2010235, 12687 = 4012225, 12776 = 4021015, 16347 = 10103425, 17999 = 10334445, 21138 = 11340235, 24332 = 12343125, 29123 = 14124435, 37396 = 21440415, 43784 = 24001145, 70844 = 42313345, 89542 = 103311325, 123367 = 124214325, 144882 = 141140125, 202196 = 224322415, 370944 = 433322345, 407963 = 1010233235, 428258 = 1022010135, 465277 = 1043421025, 551248 = 1201144435, 608562 = 1234332225, 637219 = 1303423345, 785672 = 2001201425, 860697 = 2100202425, 1178508 = 3002030135, 1796419 = 4244411345, 1871444 = 4343412345, 1946469 = 4442413345, 2213731 = 10313144115, 2577910 = 11244431205, 2699303 = 11423342035, 3253135 = 13131000205, 3963782 = 20033201125, 7049156 = 33010331115, 7563385 = 34140120205, 8713236 = 42123104215, 9891744 = 100130134345, 10920202 = 102434213025, 20829657 = 203130221125, 22175926 = 211341122015, 27561002 = 240234230025, 29860704 = 301210203045, 32039013 = 312002220235, 36395631 = 333041300115, 50615336 = 1004241423215, 88946490 = 1402322414305, 105344504 = 2034320110045, 116750278 = 2143420021035, 128156052 = 2303014432025, 139561826 = 2412114343015, 152313869 = 3024430204345, 251319864 = 10033142134245, 288229724 = 10422413223445, 376783378 = 12324240320035, 514681124 = 20232242434445, 518719931 = 20302430142115, 615351199 = 22300122142445, 809445775 = 31242042311005, 965798451 = 34342210223015

6

17 = 256, 29 = 456, 42 = 1106, 55 = 1316, 58 = 1346, 84 = 2206, 126 = 3306, 168 = 4406, 210 = 5506, 214 = 5546, 382 = 14346, 398 = 15026, 487 = 21316, 521 = 22256, 1330 = 100546, 2050 = 132546, 3571 = 243116, 3838 = 254346, 4414 = 322346, 6820 = 513246, 13064 = 1402526, 28280 = 3345326, 30254 = 3520226, 42564 = 5250206, 154231 = 31500116, 171942 = 34040106, 211545 = 43112136, 251148 = 52144206, 287557 = 100551416, 322979 = 105311356, 340690 = 111451346, 465277 = 135500216, 474626 = 141012026, 643984 = 214452246, 717412 = 232132046, 1196219 = 413500156, 2092338 = 1125024306, 3306268 = 1545104446, 3628260 = 2054333006, 4610350 = 2424521146, 13491347 = 12010555356, 18501298 = 15003140546, 27561002 = 24224211226, 34610158 = 32334521146, 63685190 = 101525545026, 81897334 = 120432021546, 139561826 = 215031433226, 227994087 = 343424121036, 585490495 = 1340330320516

7

10 = 137, 17 = 237, 20 = 267, 34 = 467, 90 = 1567, 115 = 2237, 230 = 4467, 320 = 6357, 398 = 11067, 453 = 12157, 508 = 13247, 563 = 14337, 618 = 15427, 644 = 16107, 673 = 16517, 754 = 21257, 932 = 25017, 1618 = 45017, 3105 = 120247, 4236 = 152317, 5079 = 205447, 8362 = 332447, 10802 = 433317, 16203 = 651457, 42564 = 2350447, 47732 = 2561067, 53133 = 3106237, 65676 = 3623227, 67273 = 4000637, 70844 = 4133547, 83387 = 4650537, 111057 = 6415327, 123367 = 10224467, 143662 = 11355617, 238605 = 20124337, 267872 = 21636537, 344871 = 26343127, 384474 = 31606267, 392836 = 32242037, 891938 = 104032557, 1170146 = 126423357, 2120995 = 240124427, 2242388 = 250264017, 2363781 = 260433307, 2635224 = 312536047, 2878010 = 333144627, 3120796 = 353453507, 3242189 = 363623067, 3392239 = 405556247, 3999204 = 456643267, 4749454 = 552405437, 5795623 = 1001556017, 7834828 = 1234110317, 11516221 = 1666126637, 12584282 = 2116516047, 18062094 = 3063451117, 19801199 = 3302103057, 35563591 = 6111666407, 36909860 = 6255046317, 54971954 = 12351530427, 61506881 = 13445412327, 68041808 = 14542264227, 74576735 = 15636146127, 123799434 = 30321642037, 135205208 = 32311401657, 144946902 = 34100125027, 187877460 = 44406344617, 199283234 = 46366104537, 262211409 = 63325215157, 496226194 = 152035654127, 634123940 = 214666515627, 663666833 = 223060345047, 736140284 = 241460424057, 886790073 = 306554065417

8

8 = 108, 16 = 208, 23 = 278, 24 = 308, 32 = 408, 39 = 478, 40 = 508, 48 = 608, 56 = 708, 89 = 1318, 107 = 1538, 178 = 2628, 259 = 4038, 270 = 4168, 476 = 7348, 521 = 10118, 1042 = 20228, 1563 = 30338, 2084 = 40448, 2605 = 50558, 3126 = 60668, 3647 = 70778, 6121 = 137518, 9349 = 222058, 17944 = 430308, 21138 = 512228, 34202 = 1026328, 34435 = 1032038, 39370 = 1147128, 41954 = 1217428, 65210 = 1772728, 68870 = 2064068, 98137 = 2775318, 99501 = 3022558, 148453 = 4417458, 166164 = 5044248, 241799 = 7302078, 908662 = 33565668, 3189056 = 141245008, 3306268 = 144714348, 4156019 = 176651638, 5003186 = 230536628, 7534728 = 345742108, 8563186 = 405247628, 14098312 = 656176108, 53822103 = 3152412278, 105026693 = 6205122058, 117778736 = 7012244608, 125659932 = 7372654348, 129184510 = 7546313768, 143918444 = 10450025548, 149621331 = 10726051238, 155324218 = 11204074728, 178135766 = 12474213268, 200947314 = 13764331628, 229461749 = 15532473658, 246570410 = 16544566528, 263679071 = 17556661378, 281180568 = 20604746308, 428623590 = 31430433468, 533136054 = 37616012668

9

10 = 119, 11 = 129, 13 = 149, 20 = 229, 22 = 249, 26 = 289, 30 = 339, 33 = 369, 40 = 449, 44 = 489, 50 = 559, 60 = 669, 70 = 779, 80 = 889, 110 = 1329, 178 = 2179, 220 = 2649, 482 = 5859, 518 = 6359, 641 = 7829, 1508 = 20559, 2529 = 34209, 3016 = 41219, 3838 = 52349, 4215 = 57039, 4681 = 63719, 5058 = 68409, 5147 = 70489, 5278 = 72149, 5524 = 75179, 5990 = 81859, 6032 = 82429, 6367 = 86549, 6875 = 103789, 7252 = 108479, 8006 = 118759, 8129 = 121329, 10514 = 153729, 13530 = 205039, 16258 = 242649, 20295 = 307509, 30254 = 454459, 36642 = 552339, 39836 = 605729, 124964 = 2103689, 138494 = 2308729, 152024 = 2514759, 165554 = 2720789, 355817 = 6020729, 379306 = 6372719, 418909 = 7075649, 483975 = 8168009, 512632 = 8611719, 1227460 = 22706749, 2028259 = 37312219, 2171544 = 40687169, 2178309 = 40800639, 2321594 = 43275589, 2692538 = 50534189, 2935324 = 54634519, 3056717 = 56680229, 3206767 = 60267649, 3449553 = 64368069, 3570946 = 66423679, 4956818 = 102844259, 5248556 = 107785889, 6431245 = 130820079, 6528162 = 132488539, 10320002 = 213683389, 12584282 = 256103459, 22083190 = 454873879, 30178515 = 627061239, 40238020 = 836381619, 42930558 = 887025809, 46258718 = 1060350259, 50615336 = 1152151629, 68041808 = 1520257289, 72398426 = 1612058659, 93303108 = 2145077209, 121499732 = 2735542629, 129502321 = 3006117079, 152313869 = 3475403129, 187877460 = 4324643739, 202490001 = 4630160509, 210689008 = 4804028779, 223441051 = 5163884449, 262211409 = 6073513809, 349615212 = 8107678169, 368070142 = 8485262749, 386525072 = 8872746429, 615669010 = 15264360879, 995659155 = 25114515309

10

29, 49, 78, 110, 152, 220, 314, 330, 364, 440, 550, 628, 660, 683, 770, 880, 990, 997, 2207, 5346, 13064, 30254, 35422, 37862, 38006, 65676, 73805, 143662, 202196, 933138, 977909, 3120796, 3242189, 3363582, 3606368, 3727761, 3849154, 3970547, 4484776, 4848955, 14005576, 18633637, 30571351, 34610158, 92078232, 271953103, 786119998

11

16 = 1511, 27 = 2511, 32 = 2A11, 54 = 4A11, 86 = 7911, 123 = 10211, 185 = 15911, 246 = 20411, 369 = 30611, 466 = 39411, 492 = 40811, 529 = 44111, 615 = 50A11, 1058 = 88211, 1801 = 139811, 4414 = 335311, 4592 = 34A511, 6511 = 498A11, 8828 = 66A611, 10747 = 809011, 17999 = 1258311, 22934 = 1625A11, 27869 = 19A3611, 29500 = 2018911, 37396 = 2610711, 37485 = 2618811, 56094 = 3916511, 80193 = 5528311, 84374 = 5843411, 142908 = 9840711, 151270 = A371911, 157192 = A811211, 181291 = 11423011, 234424 = 15014311, 344871 = 21611A11, 362582 = 22846011, 415715 = 26437311, 433426 = 27670411, 468848 = 2A028611, 490740 = 30577811, 526162 = 32A34A11, 597006 = 3785A311, 614717 = 38A93411, 672031 = 4199A811, 714828 = 44907411, 838805 = 52323011, 993036 = 6190A011, 1235822 = 77454511, 1677610 = A4646011, 1893336 = 108354511, 2268461 = 130A36811, 2699303 = 158403211, 3577711 = 2023A9511, 9273833 = 526462811, 9591644 = 546138711, 9909455 = 565913611, 10545077 = 5A5274411, 15369556 = 874841411, 47755037 = 24A5808011, 54486382 = 2883547511, 60357030 = 3108514811, 80476040 = 4147692711, 146293171 = 7564025211, 150331978 = 7794970511, 159045214 = 8186002911, 214410004 = 10003545611, 240867523 = 113A6637611, 790158805 = 37602A00711

12

35 = 2B12, 59 = 4B12, 94 = 7A12, 144 = 10012, 263 = 19B12, 278 = 1B212, 288 = 20012, 432 = 30012, 576 = 40012, 720 = 50012, 864 = 60012, 1008 = 70012, 1152 = 80012, 1296 = 90012, 1440 = A0012, 1584 = B0012, 1655 = B5B12, 1762 = 102A12, 1906 = 112A12, 2050 = 122A12, 2194 = 132A12, 2338 = 142A12, 2482 = 152A12, 2626 = 162A12, 2770 = 172A12, 2914 = 182A12, 3058 = 192A12, 3202 = 1A2A12, 3346 = 1B2A12, 4325 = 260512, 7286 = 427212, 14695 = 860712, 24908 = 124B812, 32317 = 1685112, 65676 = 3201012, 74182 = 36B1A12, 116225 = 5731512, 131352 = 6402012, 188666 = 9122212, 197028 = 9603012, 228269 = B012512, 247344 = BB18012, 269846 = 1101B212, 482378 = 1B31A212, 504270 = 2039A612, 557403 = 22A6A312, 575114 = 2389A212, 628247 = 26369B12, 645958 = 27199A12, 681380 = 28A39812, 699091 = 29869712, 716802 = 2A699612, 1063880 = 43380812, 1774527 = 716B1312, 2593037 = A5072512, 2652935 = A7B31B12, 3063482 = 1038A2212, 7949456 = 27B446812, 13330351 = 456A3A712, 27561002 = 92917A212, 33113839 = B10B12712, 61506881 = 1872231512, 72912655 = 205029A712, 79447582 = 2273473A12, 83804200 = 2409597412, 85982509 = 2496649112, 92517436 = 26B9822412, 94695745 = 2786894112, 96874054 = 2853945A12, 99052363 = 29209B7712, 103408981 = 2A76B1B112, 105587290 = 2B43B90A12, 110458137 = 30BAA64912, 119171373 = 33AB0AB912, 129380928 = 373B528012, 172507904 = 49932B6812, 194926616 = 5534490812, 324111126 = 9066438612, 541017250 = 13122882A12, 705251122 = 17822B52A12, 977718454 = 23352935A12

13

13 = 1013, 16 = 1313, 19 = 1613, 26 = 2013, 32 = 2613, 38 = 2C13, 39 = 3013, 48 = 3913, 52 = 4013, 64 = 4C13, 65 = 5013, 78 = 6013, 91 = 7013, 102 = 7B13, 104 = 8013, 117 = 9013, 130 = A013, 143 = B013, 156 = C013, 215 = 13713, 278 = 18513, 356 = 21513, 493 = 2BC13, 534 = 32113, 589 = 36413, 670 = 3C713, 707 = 42513, 712 = 42A13, 822 = 4B313, 945 = 57913, 1068 = 64213, 1178 = 6C813, 1304 = 79413, 1414 = 84A13, 1602 = 96313, 2011 = BB913, 2136 = C8413, 5003 = 237B13, 5079 = 240913, 5702 = 279813, 6401 = 2BB513, 6621 = 302413, 7053 = 329713, 7142 = 333513, 8184 = 395713, 13242 = 604813, 14284 = 666A13, 17423 = 7C1313, 19863 = 906C13, 20960 = 970413, 24044 = AC3713, 26882 = C30B13, 44538 = 1737013, 58068 = 2057A13, 60508 = 2170613, 64079 = 2322213, 68404 = 2519B13, 73051 = 2733413, 85971 = 3019213, 92270 = 32CC913, 128158 = 4644413, 133559 = 48A3A13, 150050 = 533B413, 192237 = 6966613, 256316 = 8C88813, 323966 = B45C613, 464667 = 13366813, 1166575 = 31ACA713, 2235623 = 60377013, 2432041 = 671CA113, 2507066 = 69A19313, 2582091 = 6C538513, 2749852 = 75384113, 3021295 = 81A26413, 3142688 = 8605A313, 3264081 = 8A391213, 3535524 = 96A33513, 3656917 = 9B067413, 3806967 = A33A5813, 3928360 = A7709713, 4049753 = ABA40613, 4199803 = B407BA13, 4321196 = B83B2913, 4442589 = BC716813, 4592639 = C4A54C13, 4714032 = C9088B13, 4956818 = 104723913, 5734128 = 1259C9A13, 6219700 = 1399CC613, 11591246 = 252AC3413, 13498112 = 2A47B6413, 15480003 = 328CC8613, 15791049 = 336B72113, 17386869 = 37A9BB613, 22083190 = 476269C13, 30039411 = 62B9BCC13, 30178515 = 633831313, 87646589 = 152099B413, 100716443 = 17B3493913, 113786297 = 1A75C89113, 120321224 = 1BC0A1BA13, 196347910 = 318A8BC513, 210446222 = 347A3CBC13, 220748513 = 3697032B13, 279123652 = 45A9B83213, 301935200 = 4A7278A813, 428305779 = 6A97239513, 534164512 = 8688779B13, 561846907 = 8C52A8BB13, 908255352 = 11622710413

14

29 = 2114, 41 = 2D14, 58 = 4214, 69 = 4D14, 87 = 6314, 110 = 7C14, 116 = 8414, 145 = A514, 174 = C614, 383 = 1D514, 686 = 37014, 877 = 46914, 2602 = D3C14, 6634 = 25BC14, 7718 = 2B5414, 8362 = 309414, 49706 = 1418614, 89775 = 24A0714, 220894 = 5A70214, 259887 = 6A9D514, 280792 = 7448814, 514839 = D58A314, 606355 = 11AD9114, 2078808 = 3C182414, 2935324 = 565A2014, 7084578 = D25BB414, 7280996 = D775D214, 8655922 = 12146C214, 12787465 = 19AC22514, 15369556 = 208121614, 23054334 = 30C1A2214, 24718414 = 33D625014, 25550454 = 357156614, 28046574 = 3A210AA14, 31571152 = 429B74414, 32403192 = 4436A5A14, 33235232 = 45B1D7214, 34067272 = 474B28814, 34899312 = 48C65A014, 35731352 = 4A618B614, 41752050 = 578BA9414, 42584090 = 5926DAA14, 44248170 = 5C3B5D814, 60749866 = 80D524214, 65817131 = 8A53B9914, 102455548 = D87005614, 138290582 = 1451B62A14, 442404091 = 42A81DA314

15

16 = 1115, 22 = 1715, 32 = 2215, 37 = 2715, 44 = 2E15, 48 = 3315, 64 = 4415, 74 = 4E15, 80 = 5515, 96 = 6615, 112 = 7715, 118 = 7D15, 128 = 8815, 144 = 9915, 160 = AA15, 176 = BB15, 192 = CC15, 208 = DD15, 224 = EE15, 236 = 10B15, 246 = 11615, 383 = 1A815, 492 = 22C15, 987 = 45C15, 1330 = 5DA15, 2178 = 9A315, 3482 = 107215, 3783 = 11C315, 4498 = 14ED15, 5414 = 190E15, 6121 = 1C3115, 6964 = 20E415, 9603 = 2CA315, 21138 = 63E315, 24997 = 761715, 31707 = 95DC15, 49994 = EC2E15, 54874 = 113D415, 65210 = 144C515, 75546 = 175B615, 85882 = 1A6A715, 91050 = 1BEA015, 96218 = 1D79815, 127404 = 27B3915, 194211 = 3C82615, 243163 = 4C0AD15, 365776 = 735A115, 401198 = 7DD1815, 661085 = D0D2515, 837818 = 11839815, 1038417 = 157A2C15, 3221894 = 43997E15, 8956022 = BBD98215, 11948660 = 10B052515, 16601197 = 16CDD1715, 19147866 = 1A3369615, 31096526 = 2AE3BBB15, 79840418 = 702164815, 97781119 = 88B72B415, 166729992 = E98672C15, 183838653 = 11215AA315, 206650201 = 1321EA5115, 235164636 = 159A362615, 240867523 = 1622D24D15, 252273297 = 1723299C15, 263679071 = 182371EB15, 269381958 = 189B1D2315, 275084845 = 1923B94A15, 280787732 = 199B657215, 297896393 = 1B2458E815, 320707941 = 1D24E89615, 384785967 = 23BAA9CC15, 474957333 = 2BA6D17315, 533136054 = 31C1138915, 680139872 = 3EA9CDD215, 850198024 = 4E9907D415

16

18 = 1216, 36 = 2416, 47 = 2F16, 54 = 3616, 72 = 4816, 79 = 4F16, 90 = 5A16, 108 = 6C16, 126 = 7E16, 205 = CD16, 521 = 20916, 919 = 39716, 4249 = 109916, 6498 = 196216, 12310 = 301616, 15072 = 3AE016, 20905 = 51A916, 24620 = 602C16, 32228 = 7DE416, 33304 = 821816, 70378 = 112EA16, 96218 = 177DA16, 122058 = 1DCCA16, 228036 = 37AC416, 270223 = 41F8F16, 357414 = 5742616, 374138 = 5B57A16, 489753 = 7791916, 529356 = 813CC16, 582489 = 8E35916, 622092 = 97E0C16, 661695 = A18BF16, 714828 = AE84C16, 754431 = B82FF16, 847167 = CED3F16, 1865666 = 1C77C216, 2363781 = 24118516, 3804383 = 3A0CDF16, 6212935 = 5ECD4716, 11266670 = ABEA6E16, 16380303 = F9F18F16, 18633637 = 11C53A516, 26821698 = 199444216, 54804193 = 3443EE116, 61535538 = 3AAF53216, 117778736 = 705293016, 139168990 = 84B8CDE16, 155520636 = 9450E7C16, 210053386 = C85290A16, 297896393 = 11C189C916, 354925263 = 1527BACF16, 411954133 = 188DEBD516, 544541828 = 20750C8416, 816812742 = 30AF92C616

17

21 = 1417, 25 = 1817, 42 = 2817, 50 = 2G17, 63 = 3C17, 84 = 4G17, 109 = 6717, 134 = 7F17, 218 = CE17, 314 = 11817, 320 = 11E17, 343 = 13317, 404 = 16D17, 488 = 1BC17, 572 = 1GB17, 628 = 22G17, 665 = 25217, 686 = 26617, 1029 = 39917, 1330 = 4A417, 1372 = 4CC17, 1715 = 5FF17, 1817 = 64F17, 1995 = 6F617, 3689 = CD017, 4990 = 104917, 6498 = 158417, 7252 = 181A17, 8760 = 1D5517, 11488 = 25CD17, 12996 = 2AG817, 13750 = 2D9E17, 20672 = 439017, 22536 = 49GB17, 28801 = 5EB317, 41344 = 871017, 55806 = B61C17, 58445 = BF3G17, 82688 = GE2017, 106554 = 14BBF17, 179084 = 227B617, 181757 = 22GFA17, 206144 = 27G5217, 255096 = 30FBB17, 260497 = 3206617, 309216 = 3BFG317, 404392 = 4E54D17, 520994 = 640CC17, 684574 = 835D117, 741888 = 8F01817, 1055518 = CAE5517, 1084175 = CGB8017, 1397805 = GC8BE17, 1541090 = 117B8617, 2282978 = 1A5B9E17, 2456517 = 1C701017, 2849353 = 201G6017, 3092139 = 23067917, 3213532 = 24818517, 4334726 = 30F50F17, 4577512 = 33DC2717, 4820298 = 36C23G17, 4941691 = 382E4C17, 5063084 = 39A95817, 5305870 = 3C8G7017, 5548656 = 3F768917, 5670049 = 3GF19517, 5820099 = 41BACD17, 6305671 = 4787FE17, 6427064 = 48G2GA17, 7499306 = 54D72B17, 10695127 = 790F6217, 11127566 = 7E3FBC17, 13387665 = 974G1C17, 16080203 = B58GE517, 24804385 = 107GC5817, 26861301 = 11FA6B917, 30975133 = 14DEC6B17, 55832651 = 255849A17, 61217727 = 291G60D17, 71987879 = 2GBF90217, 73426884 = 30C274817, 106615748 = 4718CAA17, 115328984 = 4D3E43F17, 139804612 = 5D7F0GC17, 164280240 = 6DBFEC917, 204032688 = 87BF27E17, 264389718 = AG3955617, 289893804 = C02F7CC17, 361020986 = EG48D9A17, 386525072 = G03EFGG17

18

53 = 2H18, 77 = 4518, 89 = 4H18, 142 = 7G18, 154 = 8A18, 231 = CF18, 572 = 1DE18, 1249 = 3F718, 2076 = 67618, 2550 = 7FC18, 4152 = CEC18, 6113 = 10FB18, 9137 = 1A3B18, 38993 = 6C6518, 40967 = 707H18, 60364 = A65A18, 84895 = EA0718, 109837 = 10F0118, 143141 = 169E518, 245980 = 2633A18, 368970 = 394E618, 614950 = 5F7HG18, 949252 = 90DE418, 2097506 = 11HBE218, 3093736 = 1B88A418, 14826670 = 7F455G18, 17519208 = 94FHB618, 29075032 = F6H7DA18, 40966378 = 13C477G18, 55111058 = 1B2HDF818, 139290383 = 41CFEAB18, 549094864 = G2AC14418, 581451688 = H1CG3HA18, 590679153 = H6AE7E918, 599906618 = HB8CBB818, 609134083 = HG6AF8718

19

28 = 1919, 47 = 2919, 56 = 2I19, 61 = 3419, 94 = 4I19, 122 = 6819, 150 = 7H19, 183 = 9C19, 244 = CG19, 530 = 18H19, 719 = 1IG19, 1131 = 32A19, 1139 = 32I19, 1194 = 35G19, 1249 = 38E19, 1304 = 3BC19, 1359 = 3EA19, 1414 = 3H819, 2152 = 5I519, 3796 = A9F19, 4909 = DB719, 9891 = 187B19, 13284 = 1HF319, 21426 = 326D19, 23489 = 381519, 42187 = 62G719, 46978 = 6G2A19, 65676 = 9AHC19, 89165 = CIIH19, 129844 = IHCH19, 155684 = 13D4H19, 230942 = 1ECDG19, 287324 = 23GH619, 348209 = 2CEAF19, 601420 = 4BCID19, 875214 = 6DB7H19, 1178508 = 90FAE19, 1207165 = 94II019, 1209749 = 9572019, 1264479 = 9D6DA19, 1293136 = 9HA1F19, 1465078 = B4B7719, 2085573 = G014019, 2419498 = IAE4019, 3184875 = 15867019, 3306268 = 1670C219, 3549054 = 18483619, 3670447 = 19328819, 4398805 = 1EE61119, 4520198 = 1FD06319, 4884377 = 1I922919, 5155820 = 21AD0I19, 5519999 = 246EG519, 5884178 = 272GCB19, 6005571 = 281AHD19, 6369750 = 2AGCE019, 6733929 = 2DCEA619, 6855322 = 2EB8F819, 7098108 = 2G8G6C19, 7219501 = 2H7ABE19, 7340894 = 2I64GG19, 11577716 = 4CFI4919, 49286778 = 10H3D8I19, 109943908 = 267C2E919, 154052974 = 3541IA519, 163719643 = 392560619, 184520643 = 3H9GI9F19, 286958480 = 61GHEFH19, 304627738 = 6909G2G19, 310330625 = 6B655BF19, 316033512 = 6DC0E1E19, 327439286 = 6I4AC0C19, 439832946 = 96BIHF819, 540699439 = B96IC7419, 752416905 = FIGAE6E19, 869681412 = I9473EH19

20

59 = 2J20, 99 = 4J20, 158 = 7I20, 257 = CH20, 719 = 1FJ20, 1220 = 31020, 1309 = 35920, 1977 = 4IH20, 2440 = 62020, 2618 = 6AI20, 3584 = 8J420, 3660 = 93020, 4880 = C4020, 6100 = F5020, 7320 = I6020, 8383 = 10J320, 15546 = 1IH620, 22858 = 2H2I20, 25374 = 338E20, 72064 = 903420, 73661 = 943120, 77842 = 9EC220, 80426 = A11620, 81036 = A2BG20, 82023 = A51320, 83620 = A91020, 129001 = G2A120, 137363 = H38320, 138960 = H78020, 144128 = I06820, 145725 = I46520, 147322 = I86220, 152490 = J14A20, 154087 = J54720, 155684 = J94420, 156726 = JBG620, 157281 = JD4120, 170722 = 116G220, 177487 = 123E720, 184252 = 130CC20, 197782 = 14E9220, 204547 = 15B7720, 211312 = 1685C20, 218077 = 1753H20, 231607 = 18J0720, 251902 = 1B9F220, 258667 = 1C6D720, 265432 = 1D3BC20, 272197 = 1E09H20, 278962 = 1EH8220, 285727 = 1FE6720, 292492 = 1GB4C20, 299257 = 1H82H20, 312787 = 1J1J720, 327914 = 20JFE20, 334679 = 21GDJ20, 344871 = 2323B20, 388799 = 28BJJ20, 415859 = 2BJCJ20, 443008 = 2F7A820, 469979 = 2IEIJ20, 1701099 = ACCEJ20, 2944673 = I81DD20, 26682594 = 86F69E20, 29225082 = 92D2E220, 71670068 = 127IF3820, 89824898 = 181824I20, 97249179 = 1A7G2IJ20, 99520224 = 1B200B420, 132073466 = 21593D620, 788812536 = C6A1B6G20

 

In base 10 gli unici numeri di Gilda primi minori di 109 sono: 29, 683, 997, 2207, 30571351, 271953103.

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