[Rappel : pour qu’un nombre soit merveilleux, il faut :

- l’écrire en toutes lettres (exemple en français : SEPT)

- remplacer chaque lettre par son rang dans l’alphabet (exemple : S.E.P.T. --> 19.5.16.20)

- concaténer ces rangs (ici : 1951620)

- sommer ces rangs (ici : 19+5+16+20 = 60)

- diviser la concaténation par la somme (ici : 1951620/60)

- vérifier que le résultat est un entier (c’est le cas ici : 1951620/60 = 32527, SEPT est donc merveilleux)]

Les nombres français merveilleux < 1 000 000 sont (calcul de Jean-Marc Falcoz) :

Mv_fr = 7, 20, 39, 107, 159, 368, 438, 518, 548, 612, 649, 700, 707, 708, 759, 777, 838, 852, 920, 939, 989, 1091, 1099, 1119, 1206, 1314, 1446, 1577, 1618, 1631, 1649, 1874, 1967, 2126, 2296, 2323, 2328, 2338, 2359, 2518, 2558, 2601, 2806, 2819, 2834, 2839, 2848, 2917, 2918, 3377, 3439, 3444, 3489, 3759, 3889, 3938, 3988, 4048, 4161, 4246, 4339, 4387, 4408, 4594, 4628, 4804, 4830, 5128, 5152, 5258, 5494, 5808, 5841, 5908, 5940, 6067, 6118, 6149, 6357, 6609, 6719, 6748, 6949, 6998, 7069, 7098, 7184, 7359, 7580, 7585, 7619, 7639, 7648, 7798, 7899, 8019, 8073, 8189, 8219, 8248, 8529, 8619, 8669, 8678, 8797, 9218, 9295, 9338, 9417, 9508, 9691, 9804, 9832, 9907, 9928, 10020, 10039, 10067, 10089, 10109, 10192, 10197, 10399, 10549, 10608, 10626, 10687, 10752, 10868, 10939, 11011, 11031, 11098, 11301, 11359, 11449, 11467, 11474, 11561, 11619, 11648, 11817, 12008, 12047, 12079, 12138, 12209, 12240, 12391, 12468, 12561, 12620, 12692, 12729, 12739, 12907, 13076, 13078, 13208, 13228, 13267, 13278, 13403, 13488, 13493, 13595, 13737, 13742, 13829, 13859, 13889, 13928, 13988, 14120, 14127, 14159, 14164, 14417, 14489, 14557, 14566, 14584, 14670, 14688, 15170, 15218, 15247, 15442, 15731, 15769, 15868, 15906, 15969, 15977, 15998, 16038, 16062, 16188, 16221, 16252, 16631, 16898, 16907, 17038, 17088, 17334, 17579, 17609, 17642, 17757, 17888, 18006, 18009, 18183, 18209, 18403, 18458, 18569, 18598, 18758, 18808, 18959, 18970, 18976, 19057, 19208, 19228, 19308, 19328, 19356, 19427, 19440, 19459, 19468, 19859, 19870, 19918, 20068, 20207, 20327, 20359, 20556, 20558, 20560, 20597, 20819, 20848, 20918, 20950, 20998, 21059, 21169, 21418, 21548, 21588, 21690, 21748, 21842, 21987, 22249, 22318, 22490, 22512, 22537, 22586, 22589, 22702, 22918, 23123, 23258, 23488, 23549, 23659, 23836, 23839, 23852, 23861, 23938, 24019, 24048, 24050, 24157, 24184, 24394, 24473, 24528, 24691, 24701, 24762, 25029, 25038, 25117, 25409, 25629, 25713, 25788, 25806, 25821, 25823, 25828, 25857, 26018, 26048, 26052, 26162, 26357, 26547, 26582, 26718, 26790, 26806, 26818, 26828, 26937, 27152, 27181, 27369, 27587, 27588, 27615, 27618, 27690, 27696, 27804, 28049, 28146, 28248, 28313, 28346, 28397, 28417, 28448, 28449, 28528, 28583, 28704, 28788, 28887, 29048, 29218, 29312, 29437, 29467, 29559, 29582, 29669, 29701, 29709, 29798, 29810, 29978, 30019, 30048, 30151, 30339, 30388, 30408, 30417, 30447, 30526, 30594, 30624, 30804, 30830, 30991, 31018, 31019, 31119, 31388, 31535, 31537, 31578, 31842, 32068, 32150, 32170, 32510, 32749, 33038, 33106, 33139, 33157, 33318, 33388, 33786, 33788, 33875, 33908, 33910, 33941, 34008, 34042, 34378, 34499, 34688, 34751, 34868, 34998, 35010, 35069, 35140, 35194, 35368, 35543, 35658, 35737, 35778, 35788, 35979, 35988, 36387, 36388, 36429, 36890, 36907, 36946, 36949, 37018, 37178, 37249, 37332, 37436, 37528, 37532, 37578, 38216, 38468, 38474, 38648, 38782, 39228, 39308, 39836, 40038, 40067, 40088, 40118, 40136, 40158, 40297, 40301, 40609, 40817, 40826, 41048, 41118, 41357, 41390, 41409, 41571, 41608, 41628, 41828, 41887, 41957, 42018, 42027, 42182, 42197, 42259, 42330, 42348, 42487, 42509, 42689, 42739, 42808, 42828, 42905, 42928, 43248, 43388, 43547, 43579, 43604, 43673, 43757, 43878, 43928, 43942, 43996, 44008, 44028, 44205, 44237, 44378, 44568, 44664, 44794, 44807, 44829, 44958, 45050, 45104, 45130, 45248, 45442, 45468, 45877, 45879, 46017, 46109, 46179, 46229, 46247, 46278, 46330, 46708, 46758, 46818, 46838, 46902, 46920, 46939, 47088, 47113, 47239, 47249, 47289, 47390, 47400, 47412, 47608, 47887, 47905, 47907, 48028, 48078, 48108, 48208, 48238, 48410, 48577, 48857, 49089, 49228, 49229, 49249, 49278, 49327, 49458, 49620, 49775, 49959, 50087, 50327, 50337, 50378, 50420, 50469, 50470, 50920, 50948, 51028, 51117, 51378, 51468, 51471, 51498, 51499, 51868, 51915, 51938, 52129, 52157, 52271, 52310, 52394, 52417, 52508, 52778, 52807, 52817, 53178, 53510, 53609, 53629, 53912, 54768, 54799, 54818, 54938, 54948, 55003, 55058, 55208, 55557, 55835, 55859, 55962, 56022, 56065, 56068, 56168, 56215, 56327, 56382, 56498, 56538, 56583, 56910, 57018, 57069, 57118, 57147, 57394, 57499, 57528, 57598, 57718, 57737, 57748, 57868, 57898, 57946, 58331, 58377, 58422, 58636, 58738, 58768, 59302, 59328, 59448, 59463, 59474, 59618, 59747, 59768, 59867, 59949, 60028, 60078, 60088, 60106, 60278, 60432, 60458, 60459, 60609, 60708, 60732, 60800, 60827, 60928, 61079, 61241, 61259, 61310, 61316, 61422, 61478, 61858, 61920, 62008, 62028, 62032, 62240, 62331, 62477, 62609, 62664, 62729, 63230, 63342, 63378, 63895, 63899, 64020, 64068, 64113, 64398, 64453, 64470, 64548, 64660, 64697, 64707, 64838, 64988, 65077, 65095, 65198, 65207, 65222, 65418, 65448, 65560, 65598, 65638, 65647, 65848, 65997, 66452, 66988, 67029, 67229, 67258, 67259, 67422, 67708, 67756, 67858, 68020, 68064, 68288, 68399, 68438, 68449, 68618, 68636, 68723, 68758, 68860, 69121, 69122, 69142, 69192, 69438, 69597, 69758, 70068, 70099, 70261, 70298, 70358, 70362, 70619, 70649, 70952, 71022, 71295, 71299, 71588, 71594, 71777, 72002, 72019, 72045, 72046, 72068, 72197, 72248, 72357, 72529, 72620, 72672, 72941, 73038, 73049, 73111, 73120, 73138, 73198, 73209, 73273, 73389, 73527, 73830, 73850, 74130, 74224, 74370, 74420, 74442, 74469, 74830, 75088, 75288, 75408, 75510, 75605, 75606, 75708, 75789, 75808, 75809, 75828, 75829, 75869, 75882, 75908, 76099, 76189, 76258, 77102, 77358, 77449, 77538, 77618, 78088, 78146, 78219, 78226, 78339, 78389, 78416, 79049, 79087, 79218, 79338, 79434, 79449, 79816, 79917, 80019, 80048, 80352, 80441, 80497, 80538, 80604, 80672, 80754, 80786, 80810, 81027, 81207, 81227, 81259, 81298, 81304, 81453, 81548, 81838, 81988, 82191, 82217, 82299, 82430, 82478, 82529, 82547, 82762, 83136, 83287, 83447, 83628, 83736, 83738, 83839, 83879, 84008, 84300, 84309, 84328, 84514, 84898, 84968, 85106, 85414, 85566, 85569, 85602, 85603, 85709, 85728, 85729, 85744, 85820, 85927, 85956, 85998, 86047, 86237, 86477, 86502, 86527, 86544, 86558, 86577, 86578, 87018, 87051, 87186, 87509, 87528, 87937, 87991, 88020, 88037, 88069, 88197, 88224, 88247, 88379, 88479, 88741, 88747, 88827, 88969, 89024, 89071, 89298, 89490, 89522, 89528, 89619, 89869, 89968, 89999, 90009, 90182, 90677, 90706, 90803, 90870, 90908, 91018, 91162, 91338, 91344, 91528, 91538, 91582, 91738, 91819, 91828, 91904, 91926, 91978, 92038, 92107, 92152, 92158, 92438, 92550, 92574, 92801, 92889, 93020, 93537, 93567, 93618, 93957, 93989, 94035, 94239, 94349, 94504, 94530, 94608, 94728, 94961, 94987, 95199, 95220, 95439, 95918, 96019, 96322, 96627, 96677, 96734, 96854, 97008, 97013, 97028, 97108, 97237, 97459, 97664, 97714, 97809, 97820, 97960, 98311, 98369, 98398, 98439, 98518, 98657, 98759, 99003, 99020, 99077, 99367, 99464, 99567, 99777, 99792, 99957, 99989, 100015, 100019, 100059, 100100, 100107, 100169, 100248, 100258, 100320, 100557, 100696, 100768, 100818, 100863, 101027, 101087, 101109, 101129, 101158, 101182, 101217, 101368, 101708, 101728, 101747, 101838, 101906, 101920, 101922, 102181, 102649, 102818, 103037, 103098, 103120, 103127, 103177, 103220, 103688, 103689, 103912, 103935, 103960, 103986, 104118, 104298, 104443, 104509, 104593, 104610, 104718, 104748, 104887, 104942, 104947, 105038, 105044, 105397, 105518, 105572, 105608, 105628, 105678, 105687, 106018, 106049, 106097, 106249, 106388, 106508, 106528, 106592, 106610, 106720, 106807, 106917, 107002, 107100, 107168, 107295, 107369, 107418, 107436, 107448, 107834, 107934, 107949, 108118, 108149, 108824, 108891, 109148, 109150, 109167, 109274, 109286, 109397, 109608, 109679, 109734, 109749, 110009, 110257, 110390, 110659, 110701, 110789, 110808, 110828, 110907, 110978, 111058, 111168, 111199, 111338, 111948, 111949, 112129, 112132, 112304, 112420, 112735, 112757, 112827, 113009, 113057, 113206, 113317, 113517, 113602, 113728, 113778, 113907, 113926, 113959, 114020, 114399, 114438, 114720, 114758, 114859, 114935, 115131, 115459, 115507, 115536, 115818, 115869, 116022, 116169, 116320, 116506, 116509, 116540, 116567, 116616, 116668, 116716, 116784, 116918, 117103, 117186, 117189, 117315, 117429, 117479, 117958, 117978, 118108, 118128, 118178, 118461, 118467, 118659, 118820, 118856, 119135, 119420, 119438, 119569, 119658, 119681, 119700, 119726, 119727, 119778, 119977, 120024, 120066, 120320, 120346, 120449, 120548, 120557, 120619, 120768, 120818, 120908, 120949, 120962, 121000, 121068, 121218, 121448, 121509, 121548, 121561, 121848, 121849, 121917, 122054, 122218, 122268, 122306, 122320, 122328, 122769, 122972, 123120, 123127, 123310, 123638, 123758, 123994, 124048, 124104, 124318, 124491, 124538, 124588, 124748, 125088, 125289, 125608, 125728, 125840, 125931, 126057, 126338, 126399, 126487, 126508, 126528, 126601, 126811, 127000, 127068, 127168, 127218, 127339, 127528, 127667, 127839, 127848, 127849, 127927, 128118, 128588, 128707, 128748, 128749, 129119, 129149, 129218, 129272, 129301, 129847, 130381, 130599, 130624, 130648, 130947, 130971, 131034, 131148, 131718, 131791, 132018, 132050, 132084, 132218, 132237, 132248, 133039, 133056, 133088, 133108, 133207, 133428, 133532, 133550, 133587, 133628, 133633, 133887, 134386, 134421, 134477, 134484, 134498, 134559, 134578, 134766, 134847, 134868, 134881, 134918, 135008, 135040, 135094, 135229, 135319, 135414, 135858, 136124, 136328, 136419, 136747, 136801, 136866, 136968, 137011, 137196, 137219, 137257, 137319, 137388, 137498, 137537, 137672, 137842, 137917, 137930, 138000, 138117, 138328, 138558, 138559, 138726, 138742, 138991, 139179, 139226, 139242, 139306, 139320, 139418, 139456, 139668, 139730, 139868, 139981, 140189, 140315, 140318, 140429, 140494, 140517, 140542, 140817, 140880, 140978, 140993, 141057, 141064, 141109, 141138, 141289, 141318, 141367, 141828, 141833, 141878, 141947, 141978, 141982, 142012, 142035, 142202, 142238, 142248, 142753, 142825, 142826, 142983, 143039, 143115, 143234, 143319, 143531, 143637, 143745, 143845, 144014, 144179, 144326, 144368, 144568, 144586, 144708, 144948, 145047, 145102, 145196, 145297, 145328, 145340, 145520, 145558, 145688, 145718, 145729, 145742, 145916, 146009, 146059, 146060, 146079, 146278, 146521, 146714, 146858, 146877, 146929, 147318, 147374, 147408, 147683, 147689, 147828, 147832, 148026, 148027, 148047, 148128, 148520, 148702, 148728, 148732, 149109, 149178, 149200, 149237, 149668, 150267, 150307, 150558, 150559, 150698, 150848, 150907, 151272, 151570, 151890, 152016, 152308, 152407, 152438, 152468, 152506, 152577, 152611, 152737, 152995, 152999, 153047, 153078, 153147, 153208, 153282, 153568, 153892, 153979, 154054, 154419, 154432, 154538, 154688, 154742, 154745, 154799, 154897, 155068, 155107, 155368, 155548, 155838, 155964, 155988, 156207, 156220, 156467, 156818, 156819, 156918, 157328, 157487, 157618, 157669, 157907, 158358, 158418, 158538, 158766, 158836, 158861, 158867, 158948, 158998, 159068, 159299, 159339, 159537, 159588, 159688, 159707, 159718, 160109, 160179, 160231, 160330, 160455, 160476, 160536, 160608, 160708, 160737, 160759, 160866, 160902, 160912, 160920, 161108, 161128, 161159, 161194, 161229, 161275, 161298, 161349, 161407, 161568, 161659, 161708, 161807, 162228, 162311, 162458, 162599, 162859, 162958, 163130, 163204, 163338, 163432, 163448, 163577, 164014, 164176, 164214, 164381, 164458, 164689, 164712, 164909, 164938, 165067, 165071, 165121, 165147, 165299, 165387, 165618, 165718, 165948, 165968, 166002, 166020, 166293, 166398, 166489, 166759, 166902, 166938, 167108, 167186, 167241, 167261, 167518, 167742, 167820, 167886, 167988, 168058, 168059, 168069, 168093, 168259, 168620, 168689, 168720, 168820, 168888, 168961, 169059, 169120, 169258, 169307, 169638, 169648, 169861, 169946, 170048, 170249, 170320, 170498, 170799, 170948, 171101, 171242, 171320, 171818, 171849, 171967, 172117, 172424, 172509, 172586, 172843, 172888, 172891, 173017, 173148, 173257, 173407, 173520, 173718, 173724, 173748, 173847, 174030, 174520, 174527, 174610, 174869, 174898, 175070, 175177, 175405, 175494, 175629, 175632, 175679, 175726, 175975, 175994, 176519, 176658, 176838, 176846, 176913, 177170, 177199, 177419, 177457, 177650, 177846, 177862, 177918, 178505, 178582, 178762, 178882, 178950, 179148, 179328, 179344, 179356, 179578, 179672, 179681, 179718, 180047, 180146, 180197, 180286, 180349, 180546, 180579, 180749, 180906, 181008, 181018, 181099, 181102, 181570, 181677, 181689, 181747, 181758, 182041, 182054, 182579, 182617, 182718, 182808, 182850, 183327, 183350, 183608, 183719, 183787, 183917, 183957, 184218, 184231, 184466, 184669, 184670, 184965, 185183, 185209, 185228, 185279, 185347, 185440, 185459, 185547, 185569, 185599, 185655, 185928, 186034, 186116, 186278, 186308, 186469, 186520, 186717, 186778, 187104, 187410, 187491, 187619, 187797, 187872, 188002, 188677, 188695, 188772, 188838, 188968, 189337, 189411, 190310, 190420, 190658, 190676, 190779, 191119, 191215, 191380, 191707, 191726, 191973, 192058, 192220, 192324, 192400, 192820, 193007, 193259, 193459, 193606, 193909, 193938, 194148, 194219, 194319, 194482, 194797, 194929, 195099, 195168, 195198, 195649, 196379, 196421, 196531, 196669, 196699, 196704, 196730, 196949, 197179, 197420, 197458, 197602, 197670, 197758, 197787, 197922, 198078, 198256, 198735, 198759, 198922, 199229, 199259, 199365, 199722, 199788, 199988, 200181, 200501, 200540, 200649, 200650, 200697, 200986, 201008, 201025, 201087, 201242, 201278, 201316, 201692, 201859, 201907, 201920, 201958, 202389, 202415, 202418, 202448, 202466, 202507, 202965, 203064, 203080, 203100, 203170, 203408, 203709, 203742, 203867, 203888, 204038, 204046, 204198, 204248, 204389, 204529, 204582, 204761, 205058, 205085, 205097, 205107, 205239, 205406, 205543, 205641, 205809, 205908, 205929, 205932, 205960, 205978, 206118, 206119, 206149, 206157, 206388, 206508, 206637, 206946, 207118, 207376, 207567, 207618, 207686, 207754, 207862, 207938, 207969, 208019, 208048, 208216, 208323, 208339, 208496, 208762, 208978, 209018, 209097, 209119, 209297, 209338, 209518, 209529, 209578, 209579, 209604, 209636, 209646, 209719, 209878, 209987, 210033, 210038, 210157, 210326, 210409, 210678, 210732, 210906, 210925, 211120, 211227, 211434, 211588, 211637, 211650, 211890, 212009, 212040, 212042, 212208, 212282, 212316, 212436, 212677, 212858, 212859, 212913, 213008, 213028, 213078, 213479, 213568, 213768, 213809, 213958, 214002, 214108, 214127, 214156, 214320, 214599, 214844, 214978, 214986, 214988, 214993, 215047, 215258, 215468, 215576, 215648, 215716, 215895, 215899, 215907, 216136, 216201, 216328, 216349, 216410, 216506, 216539, 216649, 217180, 217238, 217261, 217372, 217608, 218009, 218125, 218138, 218141, 218294, 218319, 218348, 218437, 218439, 218456, 218677, 219008, 219028, 219237, 219287, 219517, 219568, 219599, 219736, 219807, 219958, 220054, 220268, 221084, 221182, 221434, 221448, 221627, 221667, 221801, 221947, 222018, 222027, 222168, 222227, 222388, 222578, 222769, 222798, 222837, 222867, 223039, 223102, 223358, 223369, 223518, 223548, 223709, 223838, 224034, 224101, 224416, 224529, 224579, 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