Supplement 2 to the paper "On the integrality of the Taylor coefficients of mirror maps" by Christian Krattenthaler and Tanguy Rivoal

The table below shows values of positive integers L <= 1000000 and prime numbers p <= L for which vp(HL-1) > 0.

The format of the table is:

{L, {{p, vp(HL-1)}, ...}

{21, {{5, 1}}}
{23, {{5, 1}}}
{43, {{7, 2}}}
{47, {{7, 1}}}
{66, {{3, 1}}}
{68, {{3, 1}}}
{78, {{11, 1}}}
{82, {{11, 1}}}
{86, {{11, 1}}}
{111, {{11, 1}}}
{115, {{11, 1}}}
{119, {{11, 1}}}
{157, {{13, 1}}}
{160, {{13, 1}}}
{164, {{13, 1}}}
{167, {{13, 1}}}
{273, {{17, 1}}}
{287, {{17, 1}}}
{343, {{19, 1}}}
{359, {{19, 1}}}
{438, {{29, 1}}}
{442, {{29, 1}}}
{456, {{29, 1}}}
{460, {{29, 1}}}
{507, {{23, 1}}}
{527, {{23, 1}}}
{579, {{43, 1}}}
{581, {{43, 1}}}
{615, {{61, 1}}}
{665, {{61, 1}}}
{813, {{29, 1}}}
{818, {{29, 1}}}
{834, {{29, 1}}}
{839, {{29, 1}}}
{931, {{31, 1}}}
{943, {{31, 1}}}
{947, {{31, 1}}}
{959, {{31, 1}}}
{1082, {{97, 1}}}
{1090, {{97, 1}}}
{1111, {{97, 1}}}
{1119, {{97, 1}}}
{1140, {{97, 1}}}
{1148, {{97, 1}}}
{1248, {{43, 1}}}
{1288, {{43, 1}}}
{1333, {{37, 1}}}
{1340, {{37, 1}}}
{1346, {{37, 1}}}
{1354, {{37, 1}}}
{1360, {{37, 1}}}
{1367, {{37, 1}}}
{1592, {{53, 1}}}
{1640, {{53, 1}}}
{1641, {{41, 1}}}
{1679, {{41, 1}}}
{1807, {{43, 1}}}
{1847, {{43, 1}}}
{2034, {{13, 2}}}
{2067, {{7, 1}}}
{2069, {{7, 2}}}
{2163, {{47, 1}}}
{2190, {{13, 1}}}
{2207, {{47, 1}}}
{2362, {{7, 1}}}
{2757, {{53, 1}}}
{2761, {{109, 1}}}
{2797, {{109, 1}}}
{2807, {{53, 1}}}
{3423, {{59, 1}}}
{3433, {{59, 1}}}
{3469, {{59, 1}}}
{3479, {{59, 1}}}
{3661, {{61, 1}}}
{3719, {{61, 1}}}
{4423, {{67, 1}}}
{4487, {{67, 1}}}
{4632, {{17, 1}}}
{4904, {{17, 1}}}
{4971, {{71, 1}}}
{5039, {{71, 1}}}
{5257, {{73, 1}}}
{5267, {{73, 1}}}
{5317, {{73, 1}}}
{5327, {{73, 1}}}
{6163, {{79, 1}}}
{6187, {{79, 1}}}
{6215, {{79, 1}}}
{6239, {{79, 1}}}
{6807, {{83, 1}}}
{6887, {{83, 1}}}
{6979, {{109, 1}}}
{7081, {{109, 1}}}
{7833, {{89, 1}}}
{7919, {{89, 1}}}
{8445, {{109, 1}}}
{8449, {{109, 1}}}
{9058, {{109, 1}}}
{9144, {{109, 1}}}
{9313, {{97, 1}}}
{9329, {{11, 1}}}
{9333, {{11, 1}}}
{9337, {{11, 1}}}
{9407, {{97, 1}}}
{9416, {{11, 1}}}
{9419, {{11, 1}}}
{9423, {{11, 1}}}
{9426, {{11, 1}}}
{9702, {{11, 2}}}
{9705, {{11, 1}}}
{9709, {{11, 1}}}
{9712, {{11, 2}}}
{10101, {{101, 1}}}
{10199, {{101, 1}}}
{10507, {{103, 1}}}
{10552, {{103, 1}}}
{10562, {{103, 1}}}
{10607, {{103, 1}}}
{11343, {{107, 1}}}
{11447, {{107, 1}}}
{11616, {{227, 1}}}
{11639, {{227, 1}}}
{11741, {{227, 1}}}
{11764, {{227, 1}}}
{11773, {{109, 1}}}
{11879, {{109, 1}}}
{11983, {{919, 1}}}
{12657, {{113, 1}}}
{12762, {{29, 1}}}
{12767, {{113, 1}}}
{12786, {{29, 1}}}
{12829, {{919, 1}}}
{13913, {{577, 1}}}
{13953, {{397, 1}}}
{14001, {{397, 1}}}
{14050, {{577, 1}}}
{14185, {{397, 1}}}
{14222, {{577, 1}}}
{14233, {{397, 1}}}
{14359, {{577, 1}}}
{14699, {{1049, 1}}}
{15721, {{1049, 1}}}
{16003, {{127, 1}}}
{16023, {{127, 1}}}
{16046, {{127, 1}}}
{16059, {{127, 1}}}
{16071, {{127, 1}}}
{16084, {{127, 1}}}
{16107, {{127, 1}}}
{16127, {{127, 1}}}
{16964, {{257, 1}}}
{17031, {{131, 1}}}
{17159, {{131, 1}}}
{17216, {{257, 1}}}
{17953, {{137, 1}}}
{18000, {{137, 1}}}
{18030, {{137, 1}}}
{18077, {{137, 1}}}
{18633, {{137, 1}}}
{18767, {{137, 1}}}
{19183, {{139, 1}}}
{19231, {{139, 1}}}
{19236, {{139, 1}}}
{19266, {{139, 1}}}
{19271, {{139, 1}}}
{19319, {{139, 1}}}
{21964, {{347, 1}}}
{22053, {{149, 1}}}
{22104, {{347, 1}}}
{22199, {{149, 1}}}
{22651, {{151, 1}}}
{22799, {{151, 1}}}
{24493, {{157, 1}}}
{24507, {{157, 1}}}
{24633, {{157, 1}}}
{24647, {{157, 1}}}
{26407, {{163, 1}}}
{26441, {{163, 1}}}
{26533, {{163, 1}}}
{26567, {{163, 1}}}
{27723, {{167, 1}}}
{27887, {{167, 1}}}
{29757, {{173, 1}}}
{29768, {{173, 1}}}
{29916, {{173, 1}}}
{29927, {{173, 1}}}
{31848, {{199, 1}}}
{31860, {{199, 1}}}
{31863, {{179, 1}}}
{32018, {{199, 1}}}
{32030, {{199, 1}}}
{32039, {{179, 1}}}
{32581, {{181, 1}}}
{32642, {{181, 1}}}
{32698, {{181, 1}}}
{32759, {{181, 1}}}
{32890, {{313, 1}}}
{32963, {{313, 1}}}
{33079, {{313, 1}}}
{33152, {{313, 1}}}
{36291, {{191, 1}}}
{36329, {{191, 1}}}
{36441, {{191, 1}}}
{36479, {{191, 1}}}
{37057, {{193, 1}}}
{37247, {{193, 1}}}
{38613, {{197, 1}}}
{38807, {{197, 1}}}
{39403, {{199, 1}}}
{39599, {{199, 1}}}
{40144, {{61, 1}}}
{40192, {{61, 1}}}
{42070, {{353, 1}}}
{42296, {{353, 1}}}
{42563, {{599, 1}}}
{42830, {{911, 1}}}
{42959, {{911, 1}}}
{43093, {{599, 1}}}
{43585, {{911, 1}}}
{43714, {{911, 1}}}
{44311, {{211, 1}}}
{44357, {{211, 1}}}
{44473, {{211, 1}}}
{44519, {{211, 1}}}
{49289, {{37, 1}}}
{49315, {{37, 1}}}
{49507, {{223, 1}}}
{49513, {{223, 1}}}
{49721, {{223, 1}}}
{49727, {{223, 1}}}
{49916, {{37, 1}}}
{49919, {{37, 1}}}
{49943, {{37, 1}}}
{49946, {{37, 1}}}
{50064, {{941, 1}}}
{50621, {{37, 1}}}
{50622, {{941, 1}}}
{50647, {{37, 1}}}
{51303, {{227, 1}}}
{51337, {{227, 1}}}
{51493, {{227, 1}}}
{51527, {{227, 1}}}
{52213, {{229, 1}}}
{52439, {{229, 1}}}
{53640, {{43, 1}}}
{53644, {{43, 1}}}
{54057, {{233, 1}}}
{54104, {{233, 1}}}
{54240, {{233, 1}}}
{54287, {{233, 1}}}
{54884, {{43, 1}}}
{54894, {{43, 1}}}
{55446, {{43, 1}}}
{55450, {{43, 1}}}
{56883, {{239, 1}}}
{57119, {{239, 1}}}
{57841, {{241, 1}}}
{58079, {{241, 1}}}
{61155, {{617, 1}}}
{61566, {{647, 1}}}
{61627, {{617, 1}}}
{62010, {{647, 1}}}
{62751, {{251, 1}}}
{62999, {{251, 1}}}
{65793, {{257, 1}}}
{66047, {{257, 1}}}
{67246, {{41, 1}}}
{67258, {{41, 2}}}
{67262, {{41, 1}}}
{67274, {{41, 1}}}
{68886, {{41, 1}}}
{68898, {{41, 1}}}
{68902, {{41, 1}}}
{68907, {{263, 1}}}
{68914, {{41, 1}}}
{69167, {{263, 1}}}
{70496, {{1553, 1}}}
{70826, {{1553, 1}}}
{72093, {{269, 1}}}
{72359, {{269, 1}}}
{73171, {{271, 1}}}
{73439, {{271, 1}}}
{75474, {{2789, 1}}}
{76453, {{277, 1}}}
{76727, {{277, 1}}}
{77920, {{2789, 1}}}
{78681, {{281, 1}}}
{78905, {{43, 1}}}
{78918, {{43, 1}}}
{78934, {{43, 1}}}
{78947, {{43, 1}}}
{78959, {{281, 1}}}
{79807, {{283, 1}}}
{80087, {{283, 1}}}
{85158, {{421, 1}}}
{85346, {{421, 1}}}
{85557, {{293, 1}}}
{85847, {{293, 1}}}
{91958, {{421, 1}}}
{92018, {{421, 1}}}
{93943, {{307, 1}}}
{94247, {{307, 1}}}
{94818, {{137, 1}}}
{94926, {{137, 1}}}
{96411, {{311, 1}}}
{96719, {{311, 1}}}
{97657, {{313, 1}}}
{97671, {{313, 1}}}
{97953, {{313, 1}}}
{97967, {{313, 1}}}
{100173, {{317, 1}}}
{100309, {{317, 1}}}
{100351, {{317, 1}}}
{100487, {{317, 1}}}
{101625, {{47, 1}}}
{101649, {{47, 1}}}
{102609, {{11, 1}}}
{102613, {{11, 1}}}
{102617, {{11, 1}}}
{102689, {{11, 1}}}
{102691, {{11, 2}}}
{102719, {{11, 1}}}
{102723, {{11, 1}}}
{102727, {{11, 2}}}
{103787, {{47, 1}}}
{103811, {{47, 1}}}
{107802, {{773, 1}}}
{107864, {{773, 1}}}
{109231, {{331, 1}}}
{109257, {{331, 1}}}
{109533, {{331, 1}}}
{109559, {{331, 1}}}
{111567, {{137, 1}}}
{111605, {{137, 1}}}
{113233, {{337, 1}}}
{113244, {{337, 1}}}
{113556, {{337, 1}}}
{113567, {{337, 1}}}
{116414, {{11, 1}}}
{116418, {{11, 1}}}
{116422, {{11, 1}}}
{116502, {{11, 1}}}
{116506, {{11, 1}}}
{116510, {{11, 1}}}
{116833, {{601, 1}}}
{116955, {{601, 1}}}
{117120, {{7, 1}}}
{117148, {{7, 1}}}
{120063, {{347, 1}}}
{120407, {{347, 1}}}
{121453, {{349, 1}}}
{121799, {{349, 1}}}
{122014, {{3583, 1}}}
{122291, {{3583, 1}}}
{123346, {{641, 1}}}
{123438, {{641, 1}}}
{123519, {{19, 1}}}
{123537, {{19, 1}}}
{123755, {{19, 1}}}
{123757, {{19, 1}}}
{124257, {{353, 1}}}
{124345, {{353, 1}}}
{124519, {{353, 1}}}
{124607, {{353, 1}}}
{124935, {{3583, 1}}}
{125212, {{3583, 1}}}
{128523, {{359, 1}}}
{128561, {{359, 1}}}
{128577, {{359, 1}}}
{128825, {{359, 1}}}
{128841, {{359, 1}}}
{128879, {{359, 1}}}
{129968, {{401, 1}}}
{130021, {{19, 1}}}
{130031, {{19, 1}}}
{130250, {{19, 1}}}
{130258, {{19, 1}}}
{130280, {{401, 1}}}
{133013, {{2207, 1}}}
{134033, {{2207, 1}}}
{134323, {{367, 1}}}
{134687, {{367, 1}}}
{138757, {{373, 1}}}
{139127, {{373, 1}}}
{143263, {{379, 1}}}
{143639, {{379, 1}}}
{146307, {{383, 1}}}
{146396, {{383, 1}}}
{146598, {{383, 1}}}
{146687, {{383, 1}}}
{147253, {{53, 2}}}
{147267, {{53, 1}}}
{147674, {{53, 1}}}
{147694, {{53, 1}}}
{149505, {{641, 1}}}
{149841, {{641, 1}}}
{150933, {{389, 1}}}
{151319, {{389, 1}}}
{156259, {{11, 1}}}
{156261, {{11, 1}}}
{157213, {{397, 1}}}
{157289, {{397, 1}}}
{157531, {{397, 1}}}
{157607, {{397, 1}}}
{159078, {{929, 1}}}
{159279, {{929, 1}}}
{159367, {{929, 1}}}
{159568, {{929, 1}}}
{160401, {{401, 1}}}
{160799, {{401, 1}}}
{166873, {{409, 1}}}
{166979, {{409, 1}}}
{167173, {{409, 1}}}
{167279, {{409, 1}}}
{168616, {{1637, 1}}}
{169051, {{1637, 1}}}
{169807, {{1637, 1}}}
{170242, {{1637, 1}}}
{175143, {{419, 1}}}
{175151, {{419, 1}}}
{175551, {{419, 1}}}
{175559, {{419, 1}}}
{176821, {{421, 1}}}
{177239, {{421, 1}}}
{185331, {{431, 1}}}
{185759, {{431, 1}}}
{187057, {{433, 1}}}
{187157, {{433, 1}}}
{187387, {{433, 1}}}
{187487, {{433, 1}}}
{192283, {{439, 1}}}
{192306, {{439, 1}}}
{192696, {{439, 1}}}
{192719, {{439, 1}}}
{195807, {{443, 1}}}
{195897, {{443, 1}}}
{195945, {{443, 1}}}
{196109, {{443, 1}}}
{196157, {{443, 1}}}
{196247, {{443, 1}}}
{198878, {{1361, 1}}}
{199894, {{1361, 1}}}
{201153, {{449, 1}}}
{201599, {{449, 1}}}
{201900, {{59, 1}}}
{201954, {{59, 1}}}
{205322, {{59, 1}}}
{205376, {{59, 1}}}
{208393, {{457, 1}}}
{208453, {{457, 1}}}
{208787, {{457, 1}}}
{208847, {{457, 1}}}
{212061, {{461, 1}}}
{212088, {{461, 1}}}
{212099, {{461, 1}}}
{212481, {{461, 1}}}
{212492, {{461, 1}}}
{212519, {{461, 1}}}
{213907, {{463, 1}}}
{213934, {{1069, 1}}}
{214367, {{463, 1}}}
{214734, {{1069, 1}}}
{217623, {{467, 1}}}
{217698, {{467, 1}}}
{218012, {{467, 1}}}
{218087, {{467, 1}}}
{226324, {{61, 1}}}
{226356, {{61, 1}}}
{228963, {{479, 1}}}
{229439, {{479, 1}}}
{234844, {{733, 1}}}
{235008, {{733, 1}}}
{236683, {{487, 1}}}
{237167, {{487, 1}}}
{240591, {{491, 1}}}
{240722, {{491, 1}}}
{240948, {{491, 1}}}
{241079, {{491, 1}}}
{244035, {{601, 1}}}
{244293, {{601, 1}}}
{244319, {{601, 1}}}
{244577, {{601, 1}}}
{248503, {{499, 1}}}
{248599, {{499, 1}}}
{248624, {{499, 1}}}
{248878, {{499, 1}}}
{248903, {{499, 1}}}
{248999, {{499, 1}}}
{252507, {{503, 1}}}
{252550, {{509, 1}}}
{252775, {{971, 1}}}
{252886, {{509, 1}}}
{253007, {{503, 1}}}
{253115, {{971, 1}}}
{256863, {{521, 1}}}
{257363, {{521, 1}}}
{258573, {{509, 1}}}
{258588, {{509, 1}}}
{259064, {{509, 1}}}
{259079, {{509, 1}}}
{270921, {{521, 1}}}
{271166, {{1031, 1}}}
{271439, {{521, 1}}}
{272170, {{1031, 1}}}
{273007, {{523, 1}}}
{273165, {{523, 1}}}
{273369, {{523, 1}}}
{273527, {{523, 1}}}
{287252, {{641, 1}}}
{287724, {{641, 1}}}
{290445, {{1289, 1}}}
{290893, {{1289, 1}}}
{292141, {{541, 1}}}
{292679, {{541, 1}}}
{296823, {{761, 1}}}
{297517, {{761, 1}}}
{298663, {{547, 1}}}
{299207, {{547, 1}}}
{299564, {{109, 1}}}
{299608, {{109, 1}}}
{301560, {{947, 1}}}
{301678, {{947, 1}}}
{301952, {{1051, 1}}}
{302372, {{1051, 1}}}
{309693, {{557, 1}}}
{310247, {{557, 1}}}
{316407, {{563, 1}}}
{316638, {{563, 1}}}
{316736, {{563, 1}}}
{316967, {{563, 1}}}
{322234, {{821, 1}}}
{322250, {{821, 1}}}
{323193, {{569, 1}}}
{323210, {{569, 1}}}
{323468, {{569, 1}}}
{323484, {{569, 1}}}
{323742, {{569, 1}}}
{323759, {{569, 1}}}
{325471, {{571, 1}}}
{326039, {{571, 1}}}
{329370, {{9059, 1}}}
{331936, {{9059, 1}}}
{332353, {{577, 1}}}
{332476, {{577, 1}}}
{332804, {{577, 1}}}
{332927, {{577, 1}}}
{342442, {{1153, 1}}}
{343592, {{1153, 1}}}
{343983, {{587, 1}}}
{344567, {{587, 1}}}
{351057, {{593, 1}}}
{351647, {{593, 1}}}
{352881, {{71, 1}}}
{352886, {{71, 1}}}
{352924, {{71, 1}}}
{352929, {{71, 1}}}
{357851, {{71, 1}}}
{357856, {{71, 1}}}
{357894, {{71, 1}}}
{357899, {{71, 1}}}
{358203, {{599, 1}}}
{358318, {{6833, 1}}}
{358799, {{599, 1}}}
{359146, {{6833, 1}}}
{360601, {{601, 1}}}
{360840, {{601, 1}}}
{360960, {{601, 1}}}
{361199, {{601, 1}}}
{366862, {{2843, 1}}}
{367843, {{607, 1}}}
{367981, {{2843, 1}}}
{368355, {{2843, 1}}}
{368447, {{607, 1}}}
{369474, {{2843, 1}}}
{372781, {{109, 1}}}
{372887, {{109, 1}}}
{375157, {{613, 1}}}
{375433, {{613, 1}}}
{375491, {{613, 1}}}
{375638, {{109, 1}}}
{375698, {{109, 1}}}
{375767, {{613, 1}}}
{376683, {{1979, 1}}}
{377315, {{1979, 1}}}
{380073, {{617, 1}}}
{380687, {{617, 1}}}
{382543, {{619, 1}}}
{383159, {{619, 1}}}
{383777, {{839, 1}}}
{383907, {{839, 1}}}
{396802, {{6793, 1}}}
{397531, {{631, 1}}}
{397978, {{6793, 1}}}
{398159, {{631, 1}}}
{406577, {{1123, 1}}}
{407597, {{1123, 1}}}
{410241, {{641, 1}}}
{410879, {{641, 1}}}
{412807, {{643, 1}}}
{413447, {{643, 1}}}
{415792, {{1307, 1}}}
{416145, {{1307, 1}}}
{416413, {{1307, 1}}}
{416766, {{1307, 1}}}
{417963, {{647, 1}}}
{418607, {{647, 1}}}
{425757, {{653, 1}}}
{426407, {{653, 1}}}
{433623, {{659, 1}}}
{434279, {{659, 1}}}
{436261, {{661, 1}}}
{436919, {{661, 1}}}
{452257, {{673, 1}}}
{452927, {{673, 1}}}
{457653, {{677, 1}}}
{458327, {{677, 1}}}
{465807, {{683, 1}}}
{465841, {{683, 1}}}
{466453, {{683, 1}}}
{466487, {{683, 1}}}
{469049, {{2689, 1}}}
{469411, {{2689, 1}}}
{476791, {{691, 1}}}
{476981, {{691, 1}}}
{477289, {{691, 1}}}
{477479, {{691, 1}}}
{486822, {{79, 1}}}
{486852, {{79, 1}}}
{488816, {{4139, 1}}}
{489627, {{773, 1}}}
{489763, {{773, 1}}}
{490701, {{701, 1}}}
{491399, {{701, 1}}}
{492126, {{4139, 1}}}
{492984, {{79, 1}}}
{493014, {{79, 1}}}
{501973, {{709, 1}}}
{502679, {{709, 1}}}
{516243, {{719, 1}}}
{516959, {{719, 1}}}
{523158, {{1543, 1}}}
{524538, {{1543, 1}}}
{527803, {{727, 1}}}
{528095, {{727, 1}}}
{528235, {{727, 1}}}
{528527, {{727, 1}}}
{528922, {{1549, 1}}}
{529044, {{1549, 1}}}
{529360, {{3671, 1}}}
{529750, {{1327, 1}}}
{529884, {{1327, 1}}}
{530388, {{1327, 1}}}
{530522, {{1327, 1}}}
{531558, {{3671, 1}}}
{533569, {{17783, 1}}}
{534466, {{109, 1}}}
{534496, {{109, 1}}}
{536557, {{733, 1}}}
{537287, {{733, 1}}}
{538833, {{17783, 1}}}
{545383, {{739, 1}}}
{545929, {{17783, 1}}}
{546119, {{739, 1}}}
{551193, {{17783, 1}}}
{551307, {{743, 1}}}
{551451, {{743, 1}}}
{551903, {{743, 1}}}
{552047, {{743, 1}}}
{562673, {{827, 1}}}
{562873, {{827, 1}}}
{563251, {{751, 1}}}
{563999, {{751, 1}}}
{572293, {{757, 1}}}
{573047, {{757, 1}}}
{578361, {{761, 1}}}
{579119, {{761, 1}}}
{580394, {{1213, 1}}}
{580446, {{1213, 1}}}
{590593, {{769, 1}}}
{590748, {{769, 1}}}
{590914, {{769, 1}}}
{591038, {{769, 1}}}
{591204, {{769, 1}}}
{591359, {{769, 1}}}
{596757, {{773, 1}}}
{597527, {{773, 1}}}
{618583, {{787, 1}}}
{618636, {{787, 1}}}
{619314, {{787, 1}}}
{619367, {{787, 1}}}
{625069, {{5531, 1}}}
{625394, {{41233, 1}}}
{630467, {{5531, 1}}}
{633830, {{41233, 1}}}
{634413, {{797, 1}}}
{634515, {{797, 1}}}
{635105, {{797, 1}}}
{635207, {{797, 1}}}
{637795, {{4327, 1}}}
{638669, {{4327, 1}}}
{644392, {{41233, 1}}}
{652828, {{41233, 1}}}
{653673, {{809, 1}}}
{654479, {{809, 1}}}
{656911, {{811, 1}}}
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