Луа - 197
Метод без грубої сили, він створює перелік факторів і виключає їх. Він також виключає числа, які можна отримати за допомогою додавання цих факторів до тих пір, поки найбільший використаний коефіцієнт менший за кількість незаповнених дірок. Один завжди друкується і не використовується в алгоритмі.
i=io.read("*n")f={}print(1)for z=2,i do
x=z
if i%x<1 then
table.insert(f,1,x)end
for q=1,#f do
y=f[q]x=x*math.min(1,z%y)while x>=y and x-1~=y and y<=i-z do x=x-y end
end
if x>0 then print(z)end
end
Приклад виводу: (деякі ставлять як діапазони, щоб я не перевищував обмеження символів)
1: 1
6: 1,5
10:1,3,7,9
24:1,23
63:1,2,4,5,8,11,13,17,20,22,23,25,26,29,32,34,38,41,44,47,50,53,58,59,61,62
100:1,3,13,23,33,43,53,63,73,83,93,97,99
163:1-162
40320:1,11,13,17,19,29,31,37,41,43,61,71,73,97,113,121,127,139,157,169,179,181,191,193,209,211,221,223,241,251,253,263,269,271,277,281,289,299,307,313,331,337,347,349,353,361,373,377,379,397,401,403,409,421,431,433,437,439,449,461,467,473,479,481,491,493,499,517,521,523,529,533,541,547,571,577,587,589,593,601,607,613,617,619,631,641,653,659,671,673,683,689,691,697,701,703,709,713,731,733,737,739,751,757,761,769,781,793,811,817,841,851,853,857,859,869,871,877,881,883,907,913,929,937,953,961,971,977,979,989,991,997,1003,1009,1019,1021,1027,1033,1037,1039,1049,1051,1069,1073,1079,1081,1093,1121,1133,1139,1151,1153,1163,1171,1177,1181,1189,1193,1201,1213,1217,1223,1237,1243,1249,1261,1271,1273,1277,1279,1289,1291,1297,1301,1303,1321,1331,1333,1357,1361,1363,1369,1373,1381,1387,1409,1417,1429,1441,1451,1453,1457,1459,1469,1471,1481,1483,1489,1501,1511,1513,1531,1537,1553,1567,1579,1597,1601,1609,1619,1621,1633,1643,1649,1651,1661,1663,1681,1691,1693,1697,1699,1709,1711,1717,1721,1723,1741,1751,1753,1777,1793,1801,1807,1819,1837,1849,1859,1861,1871,1873,1889,1891,1901,1903,1921,1931,1933,1937,1949,1951,1957,1961,1963,1969,1991,1993,2011,2017,2027,2029,2033,2041,2047,2053,2057,2059,2077,2081,2087,2089,2101,2113,2129,2137,2143,2161,2171,2173,2197,2207,2209,2221,2227,2237,2239,2251,2257,2269,2273,2281,2297,2311,2321,2353,2369,2381,2419,2431,2449,2461,2477,2491,2503,2509,2521,2531,2533,2537,2539,2549,2551,2557,2561,2563,2581,2591,2593,2617,2633,2641,2647,2659,2677,2689,2699,2701,2707,2713,2717,2719,2729,2731,2749,2753,2759,2761,2773,2801,2809,2827,2833,2843,2857,2867,2869,2879,2881,2893,2897,2899,2909,2911,2917,2921,2923,2929,2941,2951,2953,2971,2977,2993,3001,3007,3019,3037,3041,3049,3061,3071,3083,3089,3091,3103,3121,3131,3133,3149,3151,3161,3169,3179,3181,3187,3193,3211,3217,3229,3233,3251,3253,3257,3259,3277,3281,3289,3293,3301,3313,3317,3319,3329,3341,3347,3359,3361,3371,3373,3377,3379,3389,3391,3397,3401,3403,3421,3431,3433,3457,3473,3481,3487,3499,3517,3529,3539,3541,3551,3553,3569,3571,3581,3583,3601,3611,3613,3623,3629,3631,3637,3641,3649,3659,3667,3673,3691,3697,3707,3709,3713,3721,3733,3737,3739,3757,3761,3763,3769,3781,3791,3793,3797,3799,3809,3821,3827,3833,3839,3841,3851,3853,3859,3877,3881,3883,3889,3893,3901,3907,3931,3937,3947,3949,3953,3961,3967,3973,3977,3979,3991,4001,4013,4019,4031,4033,4043,4049,4051,4057,4061,4063,4069,4073,4093,4097,4103,4117,4129,4153,4159,4171,4177,4187,4189,4201,4211,4213,4223,4237,4241,4243,4253,4267,4273,4283,4297,4301,4303,4309,4313,4321,4331,4337,4339,4363,4369,4379,4381,4387,4393,4409,4411,4427,4429,4433,4441,4447,4453,4463,4469,4471,4477,4481,4493,4499,4511,4513,4517,4523,4537,4541,4553,4561,4577,4601,4607,4609,4619,4621,4637,4649,4661,4673,4691,4703,4717,4721,4733,4751,4757,4769,4787,4793,4801,4811,4813,4817,4829,4841,4853,4859,4877,4883,4889,4897,4901,4913,4919,4939,4957,4961,4973,4979,4997,5003,5009,5017,5021,5027,5041,5051,5053,5057,5059,5069,5071,5077,5081,5083,5101,5111,5113,5137,5153,5161,5167,5179,5197,5209,5219,5221,5231,5233,5249,5251,5261,5263,5281,5291,5293,5303,5309,5311,5317,5321,5329,5339,5347,5353,5371,5377,5387,5389,5393,5401,5413,5417,5419,5437,5441,5443,5449,5461,5471,5473,5477,5479,5489,5501,5507,5513,5519,5521,5531,5533,5539,5557,5561,5563,5569,5573,5581,5587,5611,5617,5627,5629,5633,5641,5647,5653,5657,5659,5671,5681,5693,5699,5711,5713,5723,5729,5731,5737,5741,5743,5749,5753,5771,5773,5777,5779,5791,5797,5801,5809,5821,5833,5851,5857,5881,5899,5917,5921,5939,5941,5951,5953,5963,5969,5981,5983,6001,6011,6023,6029,6031,6037,6049,6059,6061,6067,6073,6091,6107,6109,6113,6121,6131,6133,6137,6157,6161,6163,6169,6173,6191,6193,6197,6199,6221,6227,6233,6239,6241,6253,6257,6259,6277,6281,6283,6289,6301,6313,6331,6337,6347,6353,6361,6367,6373,6379,6401,6413,6431,6443,6449,6451,6457,6463,6469,6473,6481,6491,6493,6497,6499,6509,6511,6521,6523,6529,6541,6551,6553,6571,6577,6593,6611,6613,6617,6619,6631,6637,6641,6649,6667,6673,6689,6697,6721,6731,6733,6737,6739,6749,6751,6757,6761,6763,6781,6791,6793,6817,6833,6841,6847,6859,6877,6889,6899,6901,6911,6913,6929,6931,6941,6943,6961,6971,6973,6983,6989,6991,6997,7001,7009,7019,7027,7033,7051,7057,7067,7069,7073,7081,7093,7097,7099,7117,7121,7123,7129,7141,7151,7153,7157,7159,7169,7181,7187,7193,7199,7201,7211,7213,7219,7237,7241,7243,7249,7253,7261,7267,7291,7297,7307,7309,7313,7321,7327,7333,7337,7339,7351,7361,7373,7379,7391,7393,7403,7409,7411,7417,7421,7423,7429,7433,7451,7453,7457,7459,7471,7477,7481,7489,7501,7513,7531,7537,7561,7571,7573,7577,7579,7589,7591,7597,7601,7603,7627,7633,7649,7657,7673,7681,7691,7697,7699,7709,7711,7717,7723,7729,7739,7741,7747,7753,7757,7759,7769,7771,7789,7793,7799,7801,7813,7841,7853,7859,7871,7873,7883,7891,7897,7901,7909,7913,7921,7933,7937,7943,7957,7963,7969,7981,7991,7993,7997,7999,8009,8011,8017,8021,8023,8041,8051,8053,8077,8081,8083,8089,8093,8101,8107,8129,8137,8149,8161,8177,8191,8203,8209,8219,8221,8233,8243,8257,8269,8273,8287,8299,8317,8327,8329,8333,8341,8353,8363,8369,8371,8377,8401,8411,8413,8417,8419,8437,8441,8443,8459,8461,8467,8473,8479,8497,8501,8503,8509,8513,8531,8537,8543,8557,8563,8569,8579,8581,8587,8593,8597,8599,8609,8611,8641,8651,8653,8657,8669,8671,8677,8681,8683,8689,8717,8723,8737,8747,8749,8753,8761,8767,8773,8777,8779,8797,8801,8803,8809,8821,8833,8849,8857,8881,8917,8921,8923,8929,8933,8941,8947,8971,8977,8989,8993,9001,9017,9041,9043,9049,9053,9061,9067,9073,9083,9089,9091,9097,9101,9103,9109,9113,9133,9137,9143,9157,9169,9197,9203,9209,9217,9227,9229,9241,9253,9257,9259,9277,9281,9287,9301,9307,9313,9337,9341,9343,9349,9353,9361,9367,9389,9397,9409,9419,9421,9427,9433,9437,9439,9449,9451,9469,9473,9479,9481,9493,9517,9521,9523,9529,9533,9547,9553,9577,9589,9601,9617,9631,9643,9649,9659,9661,9673,9683,9697,9707,9713,9727,9739,9757,9761,9763,9769,9773,9781,9787,9809,9817,9829,9841,9857,9871,9883,9889,9899,9901,9913,9923,9937,9949,9953,9967,9979,9997,10001,10009,10013,10021,10027,10033,10049,10057,10069,10081,10091,10093,10097,10099,10109,10111,10117,10121,10123,10141,10151,10153,10177,10193,10201,10207,10219,10237,10249,10259,10261,10271,10273,10289,10291,10301,10303,10321,10331,10333,10343,10349,10351,10357,10361,10369,10379,10387,10393,10411,10417,10427,10429,10433,10441,10453,10457,10459,10477,10481,10483,10489,10501,10511,10513,10517,10519,10529,10541,10547,10553,10559,10561,10571,10573,10579,10597,10601,10603,10609,10613,10621,10627,10651,10657,10667,10669,10673,10681,10687,10693,10697,10699,10711,10721,10733,10739,10751,10753,10763,10769,10771,10777,10781,10783,10789,10793,10811,10813,10817,10819,10831,10837,10841,10849,10861,10873,10891,10897,10921,10931,10933,10937,10939,10949,10951,10957,10961,10963,10987,10993,11009,11017,11033,11041,11051,11057,11059,11069,11071,11077,11083,11089,11099,11101,11107,11113,11117,11119,11129,11131,11149,11153,11159,11161,11173,11201,11213,11219,11231,11233,11243,11251,11257,11261,11269,11273,11281,11293,11297,11303,11317,11323,11329,11341,11351,11353,11357,11359,11369,11371,11377,11381,11383,11401,11411,11413,11437,11441,11443,11449,11453,11461,11467,11489,11497,11509,11521,11531,11533,11537,11539,11549,11551,11561,11563,11569,11581,11591,11593,11611,11617,11633,11647,11659,11677,11681,11689,11699,11701,11713,11723,11729,11731,11741,11743,11761,11771,11773,11777,11779,11789,11791,11797,11801,11803,11821,11831,11833,11857,11873,11881,11887,11899,11917,11929,11939,11941,11951,11953,11969,11971,11981,11983,12001,12011,12013,12017,12029,12031,12037,12041,12043,12049,12071,12073,12091,12097,12107,12109,12113,12121,12127,12133,12137,12139,12157,12161,12167,12169,12181,12193,12209,12217,12223,12241,12251,12253,12277,12287,12289,12301,12307,12317,12319,12331,12337,12349,12353,12361,12377,12391,12401,12433,12449,12461,12499,12511,12529,12541,12557,12571,12583,12589,12601,12611,12613,12617,12619,12629,12631,12637,12641,12643,12661,12671,12673,12697,12713,12721,12727,12739,12757,12769,12779,12781,12787,12793,12797,12799,12809,12811,12829,12833,12839,12841,12853,12881,12889,12907,12913,12923,12937,12947,12949,12959,12961,12973,12977,12979,12989,12991,12997,13001,13003,13009,13021,13031,13033,13051,13057,13073,13081,13087,13099,13117,13121,13129,13141,13151,13163,13169,13171,13183,13201,13211,13213,13229,13231,13241,13249,13259,13261,13267,13273,13291,13297,13309,13313,13331,13333,13337,13339,13357,13361,13369,13373,13381,13393,13397,13399,13409,13421,13427,13439,13441,13451,13453,13457,13459,13469,13471,13477,13481,13483,13501,13511,13513,13537,13553,13561,13567,13579,13597,13609,13619,13621,13631,13633,13649,13651,13661,13663,13681,13691,13693,13703,13709,13711,13717,13721,13729,13739,13747,13753,13771,13777,13787,13789,13793,13801,13813,13817,13819,13837,13841,13843,13849,13861,13871,13873,13877,13879,13889,13901,13907,13913,13919,13921,13931,13933,13939,13957,13961,13963,13969,13973,13981,13987,14011,14017,14027,14029,14033,14041,14047,14053,14057,14059,14071,14081,14093,14099,14111,14113,14123,14129,14131,14137,14141,14143,14149,14153,14171,14173,14177,14179,14191,14197,14201,14209,14221,14233,14251,14257,14281,14291,14293,14297,14299,14309,14311,14317,14321,14323,14347,14353,14369,14377,14393,14401,14411,14417,14419,14429,14431,14437,14443,14449,14459,14461,14467,14473,14477,14479,14489,14491,14509,14513,14519,14521,14533,14561,14573,14579,14591,14593,14603,14611,14617,14621,14629,14633,14641,14653,14657,14663,14677,14683,14689,14701,14711,14713,14717,14719,14729,14731,14737,14741,14743,14761,14771,14773,14797,14801,14803,14809,14813,14821,14827,14849,14857,14869,14881,14891,14893,14897,14899,14909,14911,14921,14923,14929,14941,14951,14953,14971,14977,14993,15007,15019,15037,15041,15049,15059,15061,15073,15083,15089,15091,15101,15103,15121,15131,15133,15137,15139,15149,15151,15157,15161,15163,15181,15191,15193,15217,15233,15241,15247,15259,15277,15289,15299,15301,15311,15313,15329,15331,15341,15343,15361,15371,15373,15377,15389,15391,15397,15401,15403,15409,15431,15433,15451,15457,15467,15469,15473,15481,15487,15493,15497,15499,15517,15521,15527,15529,15541,15553,15569,15577,15583,15601,15611,15613,15637,15647,15649,15661,15667,15677,15679,15691,15697,15709,15713,15721,15737,15751,15761,15793,15809,15821,15859,15871,15889,15901,15917,15931,15943,15949,15961,15971,15973,15977,15979,15989,15991,15997,16001,16003,16021,16031,16033,16057,16073,16081,16087,16099,16117,16129,16139,16141,16147,16153,16157,16159,16169,16171,16189,16193,16199,16201,16213,16241,16249,16267,16273,16283,16297,16307,16309,16319,16321,16333,16337,16339,16349,16351,16357,16361,16363,16369,16381,16391,16393,16411,16417,16433,16441,16447,16459,16477,16481,16489,16501,16511,16523,16529,16531,16543,16561,16571,16573,16589,16591,16601,16609,16619,16621,16627,16633,16651,16657,16669,16673,16691,16693,16697,16699,16717,16721,16729,16733,16741,16753,16757,16759,16769,16781,16787,16799,16801,16811,16813,16817,16819,16829,16831,16837,16841,16843,16861,16871,16873,16897,16913,16921,16927,16939,16957,16969,16979,16981,16991,16993,17009,17011,17021,17023,17041,17051,17053,17063,17069,17071,17077,17081,17089,17099,17107,17113,17131,17137,17147,17149,17153,17161,17173,17177,17179,17197,17201,17203,17209,17221,17231,17233,17237,17239,17249,17261,17267,17273,17279,17281,17291,17293,17299,17317,17321,17323,17329,17333,17341,17347,17371,17377,17387,17389,17393,17401,17407,17413,17417,17419,17431,17441,17453,17459,17471,17473,17483,17489,17491,17497,17501,17503,17509,17513,17533,17537,17543,17557,17569,17593,17599,17611,17617,17627,17629,17641,17651,17653,17663,17677,17681,17683,17693,17707,17713,17723,17737,17741,17743,17749,17753,17761,17771,17777,17779,17803,17809,17819,17821,17827,17833,17849,17851,17867,17869,17873,17881,17887,17893,17903,17909,17911,17917,17921,17933,17939,17951,17953,17957,17963,17977,17981,17993,18001,18017,18041,18047,18049,18059,18061,18077,18089,18101,18113,18131,18143,18157,18161,18173,18191,18197,18209,18227,18233,18241,18251,18253,18257,18269,18281,18293,18299,18317,18323,18329,18337,18341,18353,18359,18379,18397,18401,18413,18419,18437,18443,18449,18457,18461,18467,18481,18491,18493,18497,18499,18509,18511,18517,18521,18523,18541,18551,18553,18577,18593,18601,18607,18619,18637,18649,18659,18661,18671,18673,18689,18691,18701,18703,18721,18731,18733,18743,18749,18751,18757,18761,18769,18779,18787,18793,18811,18817,18827,18829,18833,18841,18853,18857,18859,18877,18881,18883,18889,18901,18911,18913,18917,18919,18929,18941,18947,18953,18959,18961,18971,18973,18979,18997,19001,19003,19009,19013,19021,19027,19051,19057,19067,19069,19073,19081,19087,19093,19097,19099,19111,19121,19133,19139,19151,19153,19163,19169,19171,19177,19181,19183,19189,19193,19211,19213,19217,19219,19231,19237,19241,19249,19261,19273,19291,19297,19321,19339,19357,19361,19379,19381,19391,19393,19403,19409,19421,19423,19441,19451,19463,19469,19471,19477,19489,19499,19501,19507,19513,19531,19547,19549,19553,19561,19571,19573,19577,19597,19601,19603,19609,19613,19631,19633,19637,19639,19661,19667,19673,19679,19681,19693,19697,19699,19717,19721,19723,19729,19741,19753,19771,19777,19787,19793,19801,19807,19813,19819,19841,19853,19871,19883,19889,19891,19897,19903,19909,19913,19921,19931,19933,19937,19939,19949,19951,19961,19963,19969,19981,19991,19993,20011,20017,20033,20051,20053,20057,20059,20071,20077,20081,20089,20107,20113,20129,20137,20161,20171,20173,20177,20179,20189,20191,20197,20201,20203,20221,20231,20233,20257,20273,20281,20287,20299,20317,20329,20339,20341,20351,20353,20369,20371,20381,20383,20401,20411,20413,20423,20429,20431,20437,20441,20449,20459,20467,20473,20491,20497,20507,20509,20513,20521,20533,20537,20539,20557,20561,20563,20569,20581,20591,20593,20597,20599,20609,20621,20627,20633,20639,20641,20651,20653,20659,20677,20681,20683,20689,20693,20701,20707,20731,20737,20747,20749,20753,20761,20767,20773,20777,20779,20791,20801,20813,20819,20831,20833,20843,20849,20851,20857,20861,20863,20869,20873,20891,20893,20897,20899,20911,20917,20921,20929,20941,20953,20971,20977,21001,21011,21013,21017,21019,21029,21031,21037,21041,21043,21067,21073,21089,21097,21113,21121,21131,21137,21139,21149,21151,21157,21163,21169,21179,21181,21187,21193,21197,21199,21209,21211,21229,21233,21239,21241,21253,21281,21293,21299,21311,21313,21323,21331,21337,21341,21349,21353,21361,21373,21377,21383,21397,21403,21409,21421,21431,21433,21437,21439,21449,21451,21457,21461,21463,21481,21491,21493,21517,21521,21523,21529,21533,21541,21547,21569,21577,21589,21601,21617,21631,21643,21649,21659,21661,21673,21683,21697,21709,21713,21727,21739,21757,21767,21769,21773,21781,21793,21803,21809,21811,21817,21841,21851,21853,21857,21859,21877,21881,21883,21899,21901,21907,21913,21919,21937,21941,21943,21949,21953,21971,21977,21983,21997,22003,22009,22019,22021,22027,22033,22037,22039,22049,22051,22081,22091,22093,22097,22109,22111,22117,22121,22123,22129,22157,22163,22177,22187,22189,22193,22201,22207,22213,22217,22219,22237,22241,22243,22249,22261,22273,22289,22297,22321,22357,22361,22363,22369,22373,22381,22387,22411,22417,22429,22433,22441,22457,22481,22483,22489,22493,22501,22507,22513,22523,22529,22531,22537,22541,22543,22549,22553,22573,22577,22583,22597,22609,22637,22643,22649,22657,22667,22669,22681,22693,22697,22699,22717,22721,22727,22741,22747,22753,22777,22781,22783,22789,22793,22801,22807,22829,22837,22849,22859,22861,22867,22873,22877,22879,22889,22891,22909,22913,22919,22921,22933,22957,22961,22963,22969,22973,22987,22993,23017,23029,23041,23057,23071,23083,23089,23099,23101,23113,23123,23137,23147,23153,23167,23179,23197,23201,23203,23209,23213,23221,23227,23249,23257,23269,23281,23297,23311,23323,23329,23339,23341,23353,23363,23377,23389,23393,23407,23419,23437,23441,23449,23453,23461,23467,23473,23489,23497,23509,23521,23531,23533,23537,23539,23549,23551,23557,23561,23563,23581,23591,23593,23617,23633,23641,23647,23659,23677,23689,23699,23701,23711,23713,23729,23731,23741,23743,23761,23771,23773,23783,23789,23791,23797,23801,23809,23819,23827,23833,23851,23857,23867,23869,23873,23881,23893,23897,23899,23917,23921,23923,23929,23941,23951,23953,23957,23959,23969,23981,23987,23993,23999,24001,24011,24013,24019,24037,24041,24043,24049,24053,24061,24067,24091,24097,24107,24109,24113,24121,24127,24133,24137,24139,24151,24161,24173,24179,24191,24193,24203,24209,24211,24217,24221,24223,24229,24233,24251,24253,24257,24259,24271,24277,24281,24289,24301,24313,24331,24337,24361,24371,24373,24377,24379,24389,24391,24397,24401,24403,24427,24433,24449,24457,24473,24481,24491,24497,24499,24509,24511,24517,24523,24529,24539,24541,24547,24553,24557,24559,24569,24571,24589,24593,24599,24601,24613,24641,24653,24659,24671,24673,24683,24691,24697,24701,24709,24713,24721,24733,24737,24743,24757,24763,24769,24781,24791,24793,24797,24799,24809,24811,24817,24821,24823,24841,24851,24853,24877,24881,24883,24889,24893,24901,24907,24929,24937,24949,24961,24971,24973,24977,24979,24989,24991,25001,25003,25009,25021,25031,25033,25051,25057,25073,25087,25099,25117,25121,25129,25139,25141,25153,25163,25169,25171,25181,25183,25201,25211,25213,25217,25219,25229,25231,25237,25241,25243,25261,25271,25273,25297,25313,25321,25327,25339,25357,25369,25379,25381,25391,25393,25409,25411,25421,25423,25441,25451,25453,25457,25469,25471,25477,25481,25483,25489,25511,25513,25531,25537,25547,25549,25553,25561,25567,25573,25577,25579,25597,25601,25607,25609,25621,25633,25649,25657,25663,25681,25691,25693,25717,25727,25729,25741,25747,25757,25759,25771,25777,25789,25793,25801,25817,25831,25841,25873,25889,25901,25939,25951,25969,25981,25997,26011,26023,26029,26041,26051,26053,26057,26059,26069,26071,26077,26081,26083,26101,26111,26113,26137,26153,26161,26167,26179,26197,26209,26219,26221,26227,26233,26237,26239,26249,26251,26269,26273,26279,26281,26293,26321,26329,26347,26353,26363,26377,26387,26389,26399,26401,26413,26417,26419,26429,26431,26437,26441,26443,26449,26461,26471,26473,26491,26497,26513,26521,26527,26539,26557,26561,26569,26581,26591,26603,26609,26611,26623,26641,26651,26653,26669,26671,26681,26689,26699,26701,26707,26713,26731,26737,26749,26753,26771,26773,26777,26779,26797,26801,26809,26813,26821,26833,26837,26839,26849,26861,26867,26879,26881,26891,26893,26897,26899,26909,26911,26917,26921,26923,26941,26951,26953,26977,26993,27001,27007,27019,27037,27049,27059,27061,27071,27073,27089,27091,27101,27103,27121,27131,27133,27143,27149,27151,27157,27161,27169,27179,27187,27193,27211,27217,27227,27229,27233,27241,27253,27257,27259,27277,27281,27283,27289,27301,27311,27313,27317,27319,27329,27341,27347,27353,27359,27361,27371,27373,27379,27397,27401,27403,27409,27413,27421,27427,27451,27457,27467,27469,27473,27481,27487,27493,27497,27499,27511,27521,27533,27539,27551,27553,27563,27569,27571,27577,27581,27583,27589,27593,27611,27613,27617,27619,27631,27637,27641,27649,27661,27673,27691,27697,27721,27731,27733,27737,27739,27749,27751,27757,27761,27763,27787,27793,27809,27817,27833,27841,27851,27857,27859,27869,27871,27877,27883,27889,27899,27901,27907,27913,27917,27919,27929,27931,27949,27953,27959,27961,27973,28001,28013,28019,28031,28033,28043,28051,28057,28061,28069,28073,28081,28093,28097,28103,28117,28123,28129,28141,28151,28153,28157,28159,28169,28171,28177,28181,28183,28201,28211,28213,28237,28241,28243,28249,28253,28261,28267,28289,28297,28309,28321,28337,28351,28363,28369,28379,28381,28393,28403,28417,28429,28433,28447,28459,28477,28487,28489,28493,28501,28513,28523,28529,28531,28537,28561,28571,28573,28577,28579,28597,28601,28603,28619,28621,28627,28633,28639,28657,28661,28663,28669,28673,28691,28697,28703,28717,28723,28729,28739,28741,28747,28753,28757,28759,28769,28771,28801,28811,28813,28817,28829,28831,28837,28841,28843,28849,28877,28883,28897,28907,28909,28913,28921,28927,28933,28937,28939,28957,28961,28963,28969,28981,28993,29009,29017,29041,29077,29081,29083,29089,29093,29101,29107,29131,29137,29149,29153,29161,29177,29201,29203,29209,29213,29221,29227,29233,29243,29249,29251,29257,29261,29263,29269,29273,29293,29297,29303,29317,29329,29357,29363,29369,29377,29387,29389,29401,29413,29417,29419,29437,29441,29447,29461,29467,29473,29497,29501,29503,29509,29513,29521,29527,29549,29557,29569,29579,29581,29587,29593,29597,29599,29609,29611,29629,29633,29639,29641,29653,29677,29681,29683,29689,29693,29707,29713,29737,29749,29761,29777,29791,29803,29809,29819,29821,29833,29843,29857,29867,29873,29887,29899,29917,29921,29923,29929,29933,29941,29947,29969,29977,29989,30001,30017,30031,30043,30049,30059,30061,30073,30083,30097,30109,30113,30127,30139,30157,30161,30169,30173,30181,30187,30193,30209,30217,30229,30241,30251,30253,30257,30259,30283,30299,30301,30307,30313,30323,30329,30337,30347,30349,30353,30361,30367,30383,30389,30391,30397,30413,30419,30431,30433,30449,30451,30467,30469,30473,30481,30487,30493,30497,30523,30529,30539,30547,30553,30557,30559,30571,30577,30593,30617,30623,30637,30641,30643,30649,30661,30673,30683,30689,30691,30697,30701,30703,30713,30721,30733,30743,30757,30763,30769,30803,30809,30811,30817,30823,30829,30833,30841,30859,30881,30889,30913,30923,30929,30931,30937,30941,30943,30949,30953,30973,30977,30983,30997,31009,31033,31039,31051,31057,31067,31069,31081,31091,31093,31103,31117,31121,31123,31133,31147,31153,31163,31177,31181,31183,31189,31193,31201,31211,31217,31219,31243,31249,31259,31261,31267,31273,31289,31291,31307,31309,31313,31321,31327,31333,31343,31349,31351,31357,31361,31373,31379,31391,31393,31403,31411,31417,31427,31429,31433,31441,31447,31453,31457,31459,31483,31489,31499,31501,31513,31517,31519,31529,31531,31537,31543,31553,31571,31583,31597,31601,31603,31609,31613,31621,31627,31643,31649,31651,31657,31663,31669,31673,31681,31693,31697,31723,31729,31753,31763,31769,31771,31777,31781,31783,31789,31793,31819,31837,31841,31849,31873,31883,31889,31891,31897,31901,31903,31909,31921,31931,31933,31937,31939,31949,31951,31957,31961,31963,31981,31991,31993,32017,32033,32051,32057,32063,32077,32083,32089,32093,32101,32107,32113,32129,32149,32161,32173,32183,32189,32191,32197,32201,32203,32209,32213,32233,32237,32243,32257,32267,32269,32273,32281,32293,32297,32299,32317,32321,32323,32329,32341,32351,32353,32357,32359,32369,32381,32387,32393,32399,32401,32411,32413,32419,32437,32441,32443,32449,32453,32461,32467,32491,32497,32507,32509,32513,32521,32527,32533,32537,32539,32551,32561,32573,32579,32591,32593,32603,32609,32611,32617,32621,32623,32629,32633,32651,32653,32657,32659,32671,32677,32681,32689,32701,32713,32731,32737,32761,32779,32797,32801,32819,32821,32831,32833,32843,32849,32861,32863,32881,32891,32903,32909,32911,32917,32929,32939,32941,32947,32953,32971,32987,32989,32993,33001,33011,33013,33017,33037,33041,33043,33049,33053,33071,33073,33077,33079,33101,33107,33113,33119,33121,33133,33137,33139,33157,33161,33163,33169,33181,33193,33211,33217,33227,33233,33241,33247,33253,33259,33281,33293,33311,33323,33329,33331,33337,33343,33349,33353,33361,33371,33373,33377,33379,33389,33391,33401,33403,33409,33421,33431,33433,33451,33457,33473,33491,33493,33497,33499,33511,33517,33521,33529,33547,33553,33569,33577,33601,33611,33613,33617,33629,33641,33653,33659,33683,33689,33697,33701,33713,33739,33757,33773,33779,33797,33809,33821,33827,33833,33841,33851,33853,33857,33869,33871,33877,33881,33883,33889,33911,33913,33931,33937,33953,33961,33967,33979,33997,34001,34009,34019,34021,34031,34033,34043,34049,34051,34061,34063,34081,34091,34093,34103,34109,34117,34121,34129,34141,34147,34171,34177,34187,34189,34193,34201,34211,34213,34217,34219,34241,34243,34249,34253,34261,34271,34273,34277,34289,34301,34313,34319,34331,34333,34337,34339,34357,34361,34369,34373,34381,34387,34393,34411,34417,34427,34429,34441,34453,34457,34459,34471,34481,34493,34499,34511,34513,34523,34529,34537,34541,34543,34549,34553,34561,34571,34577,34579,34603,34609,34619,34621,34627,34633,34649,34651,34667,34669,34673,34681,34687,34693,34703,34709,34711,34717,34721,34733,34739,34751,34753,34757,34763,34777,34781,34793,34801,34817,34841,34847,34849,34859,34861,34877,34889,34901,34913,34931,34943,34957,34961,34973,34991,34997,35009,35027,35033,35041,35051,35053,35057,35069,35081,35093,35099,35117,35123,35129,35137,35141,35153,35159,35179,35197,35201,35213,35219,35237,35243,35249,35257,35261,35267,35281,35291,35293,35297,35309,35321,35327,35333,35339,35351,35377,35389,35393,35411,35417,35423,35429,35449,35453,35473,35477,35489,35513,35519,35521,35531,35533,35537,35549,35561,35573,35597,35603,35617,35627,35629,35633,35657,35663,35669,35681,35699,35713,35723,35729,35741,35747,35753,35771,35789,35801,35807,35809,35813,35831,35837,35851,35857,35867,35869,35879,35881,35887,35893,35897,35921,35923,35929,35947,35953,35963,35969,35971,35977,35989,35993,36011,36013,36017,36019,36031,36037,36047,36049,36053,36061,36077,36083,36089,36097,36107,36109,36121,36131,36133,36137,36139,36149,36151,36157,36161,36163,36187,36193,36203,36209,36217,36221,36223,36229,36233,36241,36247,36257,36269,36287,36289,36299,36301,36307,36313,36317,36319,36329,36331,36349,36353,36359,36361,36373,36401,36409,36427,36433,36443,36457,36467,36469,36479,36481,36493,36497,36499,36509,36511,36517,36521,36523,36529,36541,36551,36553,36571,36577,36593,36601,36607,36619,36637,36641,36649,36661,36671,36683,36689,36691,36703,36721,36731,36733,36749,36751,36761,36769,36779,36781,36787,36793,36811,36817,36829,36833,36851,36853,36857,36859,36877,36881,36889,36893,36901,36913,36917,36919,36929,36941,36947,36959,36961,36979,36991,37003,37021,37063,37069,37081,37091,37097,37099,37109,37111,37117,37123,37129,37141,37151,37153,37171,37193,37201,37207,37237,37241,37249,37259,37267,37273,37277,37279,37291,37297,37309,37313,37319,37321,37333,37339,37361,37369,37393,37403,37409,37417,37427,37439,37447,37453,37477,37481,37483,37489,37493,37501,37507,37529,37537,37549,37561,37577,37591,37603,37609,37619,37621,37633,37649,37661,37699,37711,37729,37741,37757,37771,37783,37789,37801,37817,37831,37841,37867,37873,37889,37897,37913,37921,37927,37937,37969,37997,38011,38047,38077,38081,38089,38107,38113,38123,38137,38147,38149,38159,38161,38173,38177,38179,38189,38191,38203,38209,38219,38221,38233,38237,38239,38249,38251,38257,38273,38279,38281,38293,38299,38317,38321,38329,38341,38351,38363,38369,38371,38383,38401,38411,38413,38417,38419,38429,38431,38441,38443,38449,38461,38471,38473,38491,38497,38513,38527,38539,38557,38561,38569,38579,38581,38593,38603,38609,38611,38621,38623,38641,38653,38657,38663,38677,38683,38701,38711,38713,38719,38729,38737,38741,38743,38749,38761,38771,38797,38803,38809,38813,38821,38827,38833,38849,38869,38881,38893,38903,38909,38911,38917,38921,38923,38929,38933,38953,38957,38963,38977,38981,38989,38993,39001,39013,39017,39023,39037,39043,39049,39061,39073,39089,39097,39121,39149,39161,39167,39169,39173,39211,39217,39229,39233,39241,39257,39281,39283,39289,39293,39301,39307,39313,39329,39337,39353,39379,39397,39401,39409,39433,39451,39457,39481,39493,39497,39499,39511,39521,39533,39539,39551,39553,39563,39569,39577,39581,39583,39589,39593,39601,39607,39617,39629,39647,39649,39653,39659,39671,39691,39701,39703,39709,39713,39721,39761,39773,39779,39791,39793,39803,39811,39821,39827,39833,39839,39841,39857,39863,39869,39877,39881,39883,39889,39901,39913,39923,39929,39931,39937,39947,39953,39961,39979,40003,40007,40009,40013,40021,40037,40051,40057,40067,40081,40093,40109,40127,40129,40139,40141,40157,40171,40219,40241,40247,40253,40267,40273,40277,40289,40297,40301,40307,40319
65536: This makes my answer go over the character limit (32768 numbers)
105953: 1-105952
