prime = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773, 20789, 20807, 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3973213, 3973219, 3973241, 3973247, 3973253, 3973259, 3973279, 3973283, 3973289, 3973297, 3973303, 3973309, 3973331, 3973339, 3973381, 3973391, 3973421, 3973429, 3973439, 3973447, 3973469, 3973481, 3973483, 3973499, 3973511, 3973517, 3973531, 3973553, 3973561, 3973577, 3973579, 3973633, 3973639, 3973649, 3973661, 3973691, 3973727, 3973729, 3973741, 3973747, 3973751, 3973757, 3973787, 3973807, 3973811, 3973829, 3973847, 3973861, 3973877, 3973919, 3973927, 3973933, 3973943, 3973973, 3973997, 3974023, 3974027, 3974041, 3974053, 3974057, 3974071, 3974077, 3974093, 3974129, 3974143, 3974167, 3974177, 3974197, 3974213, 3974219, 3974221, 3974227, 3974237, 3974261, 3974279, 3974291, 3974309, 3974351, 3974353, 3974357, 3974359, 3974371, 3974387, 3974389, 3974393, 3974419, 3974437, 3974441, 3974459, 3974483, 3974491, 3974497, 3974501, 3974527, 3974539, 3974563, 3974567, 3974609, 3974611, 3974623, 3974657, 3974681, 3974683, 3974687, 3974689, 3974701, 3974713, 3974717, 3974723, 3974741, 3974749, 3974759, 3974779, 3974783, 3974797, 3974801, 3974833, 3974849, 3974881, 3974897, 3974911, 3974917, 3974921, 3974939, 3974951, 3974959, 3974969, 3974981, 3974987, 3975011, 3975017, 3975031, 3975089, 3975091, 3975107, 3975109, 3975151, 3975163, 3975173, 3975193, 3975197, 3975217, 3975239, 3975247, 3975253, 3975269, 3975271, 3975277, 3975281, 3975289, 3975341, 3975353, 3975379, 3975383, 3975437, 3975449, 3975463, 3975473, 3975487, 3975493, 3975509, 3975511, 3975529, 3975547, 3975577, 3975593, 3975599, 3975649, 3975659, 3975661, 3975667, 3975677, 3975701, 3975703, 3975707, 3975709, 3975721, 3975749, 3975779, 3975791, 3975827, 3975857, 3975863, 3975887, 3975911, 3975947, 3975971, 3976001, 3976003, 3976009, 3976019, 3976031, 3976043, 3976061, 3976087, 3976097, 3976099, 3976121, 3976129, 3976169, 3976177, 3976183, 3976199, 3976207, 3976223, 3976229, 3976241, 3976261, 3976267, 3976289, 3976319, 3976327, 3976331, 3976337, 3976361, 3976367, 3976381, 3976387, 3976391, 3976397, 3976403, 3976409, 3976417, 3976439, 3976459, 3976477, 3976481, 3976507, 3976519, 3976523, 3976547, 3976573, 3976579, 3976601, 3976607, 3976619, 3976633, 3976663, 3976667, 3976669, 3976703, 3976733, 3976783, 3976801, 3976807, 3976829, 3976831, 3976849, 3976853, 3976859, 3976867, 3976873, 3976879, 3976913, 3976927, 3976943, 3976949, 3976969, 3976979, 3976981, 3976991, 3977003, 3977011, 3977059, 3977063, 3977069, 3977081, 3977087, 3977101, 3977107, 3977117, 3977153, 3977159, 3977161, 3977177, 3977203, 3977209, 3977219, 3977243, 3977273, 3977293, 3977317, 3977339, 3977341, 3977353, 3977377, 3977381, 3977387, 3977401, 3977411, 3977419, 3977429, 3977431, 3977447, 3977453, 3977461, 3977471, 3977483, 3977489, 3977497, 3977503, 3977509, 3977527, 3977549, 3977569, 3977573, 3977587, 3977599, 3977621, 3977639, 3977647, 3977653, 3977663, 3977681, 3977693, 3977717, 3977719, 3977731, 3977741, 3977761, 3977777, 3977791, 3977797, 3977807, 3977819, 3977849, 3977851, 3977863, 3977867, 3977891, 3977893, 3977903, 3977921, 3977927, 3977929, 3977933, 3977947, 3977977, 3977999, 3978031, 3978043, 3978053, 3978071, 3978101, 3978109, 3978113, 3978167, 3978179, 3978181, 3978197, 3978217, 3978229, 3978253, 3978257, 3978263, 3978269, 3978283, 3978301, 3978329, 3978349, 3978421, 3978431, 3978433, 3978451, 3978473, 3978479, 3978497, 3978511, 3978523, 3978553, 3978587, 3978593, 3978641, 3978643, 3978659, 3978671, 3978673, 3978683, 3978707, 3978727, 3978739, 3978743, 3978749, 3978761, 3978773, 3978781, 3978803, 3978811, 3978817, 3978823, 3978841, 3978859, 3978883, 3978893, 3978899, 3978917, 3978967, 3978971, 3978979, 3979013, 3979021, 3979039, 3979043, 3979117, 3979127, 3979133, 3979141, 3979147, 3979159, 3979163, 3979181, 3979193, 3979201, 3979211, 3979219, 3979229, 3979237, 3979247, 3979259, 3979267, 3979289, 3979357, 3979361, 3979363, 3979427, 3979433, 3979463, 3979499, 3979511, 3979517, 3979523, 3979543, 3979553, 3979561, 3979567, 3979571, 3979603, 3979627, 3979637, 3979639, 3979643, 3979663, 3979669, 3979691, 3979711, 3979739, 3979771, 3979837, 3979849, 3979861, 3979883, 3979889, 3979891, 3979901, 3979957, 3979967, 3979981, 3979999, 3980003, 3980017, 3980027, 3980051, 3980069, 3980071, 3980087, 3980089, 3980113, 3980117, 3980143, 3980147, 3980161, 3980191, 3980203, 3980231, 3980281, 3980287, 3980299, 3980303, 3980323, 3980341, 3980359, 3980377, 3980387, 3980399, 3980401, 3980407, 3980419, 3980429, 3980461, 3980479, 3980491, 3980503, 3980513, 3980521, 3980527, 3980531, 3980549, 3980551, 3980579, 3980591, 3980593, 3980611, 3980621, 3980629, 3980653, 3980657, 3980663, 3980687, 3980689, 3980693, 3980729, 3980749, 3980761, 3980819, 3980827, 3980831, 3980843, 3980857, 3980887, 3980891, 3980957, 3980971, 3980987, 3981017, 3981037, 3981067, 3981071, 3981097, 3981101, 3981119, 3981137, 3981157, 3981161, 3981167, 3981169, 3981181, 3981191, 3981193, 3981209, 3981217, 3981227, 3981253, 3981301, 3981331, 3981343, 3981389, 3981391, 3981401, 3981403, 3981407, 3981421, 3981449, 3981463, 3981473, 3981479, 3981491, 3981503, 3981517, 3981539, 3981541, 3981563, 3981569, 3981581, 3981589, 3981617, 3981619, 3981629, 3981641, 3981643, 3981647, 3981683, 3981707, 3981709, 3981739, 3981749, 3981763, 3981767, 3981821, 3981823, 3981827, 3981833, 3981839, 3981847, 3981863, 3981869, 3981871, 3981881, 3981883, 3981889, 3981899, 3981911, 3981917, 3981937, 3981953, 3981959, 3981973, 3982031, 3982037, 3982057, 3982067, 3982073, 3982079, 3982117, 3982123, 3982129, 3982157, 3982171, 3982183, 3982201, 3982247, 3982249, 3982259, 3982271, 3982283, 3982333, 3982351, 3982373, 3982379, 3982393, 3982397, 3982399, 3982411, 3982417, 3982481, 3982493, 3982499, 3982513, 3982549, 3982567, 3982591, 3982597, 3982631, 3982679, 3982687, 3982691, 3982697, 3982721, 3982739, 3982747, 3982763, 3982801, 3982813, 3982819, 3982877, 3982883, 3982903, 3982931, 3982967, 3982987, 3982991, 3982999, 3983009, 3983011, 3983033, 3983039, 3983041, 3983059, 3983069, 3983093, 3983123, 3983129, 3983131, 3983153, 3983197, 3983201, 3983227, 3983249, 3983261, 3983263, 3983279, 3983299, 3983303, 3983333, 3983341, 3983377, 3983381, 3983387, 3983401, 3983431, 3983443, 3983453, 3983459, 3983461, 3983467, 3983471, 3983479, 3983509, 3983543, 3983587, 3983633, 3983641, 3983657, 3983663, 3983689, 3983699, 3983719, 3983747, 3983773, 3983789, 3983809, 3983839, 3983869, 3983873, 3983893, 3983897, 3983909, 3983911, 3983927, 3983951, 3983963, 3983981, 3983983, 3983989, 3983999, 3984031, 3984047, 3984061, 3984073, 3984109, 3984131, 3984133, 3984139, 3984161, 3984173, 3984181, 3984191, 3984199, 3984217, 3984229, 3984259, 3984269, 3984283, 3984287, 3984293, 3984301, 3984317, 3984347, 3984389, 3984391, 3984403, 3984439, 3984457, 3984467, 3984473, 3984479, 3984499, 3984517, 3984521, 3984587, 3984599, 3984611, 3984649, 3984653, 3984677, 3984679, 3984731, 3984751, 3984769, 3984781, 3984791, 3984793, 3984809, 3984823, 3984859, 3984917, 3984941, 3984943, 3984949, 3984971, 3984983, 3985013, 3985027, 3985031, 3985039, 3985057, 3985063, 3985067, 3985073, 3985087, 3985099, 3985103, 3985181, 3985207, 3985211, 3985213, 3985217, 3985237, 3985243, 3985249, 3985277, 3985297, 3985337, 3985349, 3985351, 3985363, 3985393, 3985403, 3985409, 3985433, 3985451, 3985469, 3985511, 3985519, 3985523, 3985537, 3985543, 3985549, 3985567, 3985589, 3985591, 3985609, 3985621, 3985637, 3985661, 3985669, 3985697, 3985711, 3985717, 3985721, 3985777, 3985829, 3985843, 3985853, 3985859, 3985867, 3985879, 3985889, 3985903, 3985951, 3985999, 3986009, 3986033, 3986051, 3986063, 3986111, 3986113, 3986159, 3986161, 3986173, 3986189, 3986201, 3986207, 3986209, 3986231, 3986237, 3986243, 3986263, 3986273, 3986287, 3986293, 3986303, 3986309, 3986329, 3986351, 3986357, 3986377, 3986393, 3986413, 3986431, 3986441, 3986459, 3986467, 3986473, 3986497, 3986503, 3986513, 3986519, 3986531, 3986537, 3986539, 3986581, 3986597, 3986611, 3986617, 3986623, 3986641, 3986651, 3986663, 3986669, 3986677, 3986699, 3986711, 3986729, 3986737, 3986747, 3986761, 3986767, 3986771, 3986783, 3986803, 3986809, 3986813, 3986839, 3986897, 3986921, 3986923, 3986929, 3986951, 3986953, 3986971, 3986977, 3986987, 3986989, 3986999, 3987001, 3987013, 3987019, 3987023, 3987029, 3987037, 3987077, 3987079, 3987107, 3987121, 3987149, 3987167, 3987173, 3987199, 3987227, 3987229, 3987259, 3987271, 3987287, 3987301, 3987311, 3987317, 3987323, 3987353, 3987407, 3987409, 3987421, 3987427, 3987449, 3987481, 3987517, 3987521, 3987523, 3987551, 3987559, 3987589, 3987593, 3987629, 3987649, 3987677, 3987727, 3987733, 3987757, 3987769, 3987791, 3987799, 3987811, 3987821, 3987829, 3987833, 3987839, 3987847, 3987859, 3987887, 3987913, 3987931, 3987937, 3987943, 3988003, 3988007, 3988021, 3988027, 3988069, 3988073, 3988087, 3988093, 3988097, 3988129, 3988147, 3988151, 3988213, 3988247, 3988249, 3988273, 3988277, 3988289, 3988291, 3988297, 3988301, 3988321, 3988331, 3988343, 3988351, 3988381, 3988403, 3988427, 3988433, 3988441, 3988451, 3988471, 3988477, 3988487, 3988513, 3988519, 3988531, 3988541, 3988583, 3988601, 3988619, 3988627, 3988643, 3988661, 3988667, 3988679, 3988681, 3988687, 3988703, 3988717, 3988753, 3988759, 3988763, 3988771, 3988781, 3988783, 3988823, 3988877, 3988889, 3988903, 3988909, 3988961, 3988969, 3988991, 3989003, 3989009, 3989021, 3989023, 3989039, 3989057, 3989093, 3989119, 3989123, 3989137, 3989147, 3989159, 3989171, 3989191, 3989233, 3989243, 3989261, 3989267, 3989287, 3989311, 3989317, 3989329, 3989333, 3989351, 3989371, 3989383, 3989387, 3989389, 3989393, 3989413, 3989429, 3989431, 3989437, 3989467, 3989471, 3989477, 3989519, 3989533, 3989569, 3989593, 3989641, 3989651, 3989653, 3989663, 3989683, 3989701, 3989723, 3989729, 3989759, 3989761, 3989801, 3989807, 3989809, 3989831, 3989837, 3989857, 3989863, 3989891, 3989897, 3989903, 3989929, 3989941, 3989957, 3989963, 3989983, 3989989, 3990001, 3990011, 3990029, 3990031, 3990037, 3990047, 3990061, 3990073, 3990083, 3990097, 3990113, 3990127, 3990157, 3990169, 3990179, 3990187, 3990241, 3990251, 3990269, 3990281, 3990307, 3990331, 3990353, 3990373, 3990379, 3990383, 3990419, 3990449, 3990451, 3990463, 3990473, 3990509, 3990521, 3990541, 3990593, 3990601, 3990607, 3990617, 3990619, 3990641, 3990689, 3990731, 3990737, 3990761, 3990773, 3990827, 3990841, 3990851, 3990853, 3990859, 3990863, 3990901, 3990907, 3990913, 3990919, 3990929, 3990967, 3990977, 3990979, 3990997, 3991019, 3991021, 3991037, 3991051, 3991087, 3991093, 3991103, 3991111, 3991139, 3991181, 3991189, 3991199, 3991223, 3991237, 3991261, 3991279, 3991289, 3991297, 3991313, 3991321, 3991331, 3991333, 3991369, 3991399, 3991441, 3991451, 3991469, 3991511, 3991517, 3991543, 3991571, 3991573, 3991579, 3991601, 3991607, 3991609, 3991613, 3991619, 3991639, 3991649, 3991667, 3991679, 3991681, 3991693, 3991703, 3991711, 3991717, 3991723, 3991727, 3991747, 3991751, 3991807, 3991817, 3991829, 3991831, 3991853, 3991877, 3991891, 3991943, 3991961, 3991973, 3991993, 3991997, 3992011, 3992029, 3992057, 3992069, 3992081, 3992083, 3992089, 3992099, 3992123, 3992141, 3992143, 3992159, 3992171, 3992201, 3992203, 3992207, 3992213, 3992221, 3992231, 3992243, 3992251, 3992257, 3992279, 3992291, 3992309, 3992323, 3992327, 3992333, 3992341, 3992347, 3992357, 3992371, 3992377, 3992381, 3992393, 3992407, 3992419, 3992441, 3992447, 3992453, 3992477, 3992479, 3992503, 3992519, 3992531, 3992533, 3992563, 3992567, 3992587, 3992609, 3992623, 3992627, 3992683, 3992687, 3992689, 3992699, 3992701, 3992713, 3992719, 3992741, 3992761, 3992771, 3992797, 3992837, 3992843, 3992873, 3992887, 3992899, 3992903, 3992917, 3992927, 3992939, 3992951, 3992959, 3992987, 3993019, 3993029, 3993037, 3993043, 3993049, 3993071, 3993083, 3993089, 3993091, 3993103, 3993107, 3993127, 3993161, 3993193, 3993217, 3993221, 3993229, 3993233, 3993239, 3993247, 3993251, 3993257, 3993259, 3993263, 3993313, 3993323, 3993343, 3993377, 3993397, 3993427, 3993443, 3993469, 3993481, 3993511, 3993527, 3993547, 3993557, 3993569, 3993571, 3993581, 3993593, 3993601, 3993617, 3993631, 3993653, 3993659, 3993683, 3993701, 3993713, 3993721, 3993733, 3993739, 3993751, 3993779, 3993791, 3993833, 3993839, 3993859, 3993889, 3993893, 3993901, 3993907, 3993911, 3993943, 3993949, 3993953, 3993959, 3993991, 3994007, 3994021, 3994069, 3994079, 3994103, 3994121, 3994147, 3994171, 3994183, 3994189, 3994213, 3994223, 3994229, 3994253, 3994267, 3994271, 3994279, 3994357, 3994369, 3994391, 3994411, 3994421, 3994429, 3994453, 3994481, 3994493, 3994499, 3994513, 3994537, 3994553, 3994559, 3994561, 3994591, 3994597, 3994619, 3994621, 3994681, 3994687, 3994699, 3994717, 3994723, 3994729, 3994733, 3994747, 3994759, 3994763, 3994777, 3994787, 3994789, 3994799, 3994817, 3994841, 3994843, 3994849, 3994891, 3994897, 3994909, 3994931, 3994933, 3994937, 3994961, 3994993, 3995021, 3995023, 3995029, 3995083, 3995093, 3995113, 3995129, 3995161, 3995183, 3995191, 3995207, 3995219, 3995231, 3995269, 3995279, 3995281, 3995347, 3995351, 3995413, 3995429, 3995437, 3995441, 3995443, 3995447, 3995449, 3995461, 3995471, 3995489, 3995503, 3995507, 3995513, 3995543, 3995557, 3995581, 3995587, 3995609, 3995623, 3995627, 3995633, 3995639, 3995647, 3995653, 3995659, 3995671, 3995687, 3995699, 3995713, 3995729, 3995743, 3995749, 3995753, 3995777, 3995779, 3995791, 3995837, 3995843, 3995851, 3995891, 3995897, 3995903, 3995921, 3995923, 3995933, 3995941, 3995977, 3995989, 3996007, 3996017, 3996059, 3996067, 3996073, 3996077, 3996079, 3996107, 3996131, 3996149, 3996151, 3996193, 3996199, 3996211, 3996221, 3996277, 3996281, 3996283, 3996323, 3996337, 3996341, 3996347, 3996353, 3996361, 3996379, 3996397, 3996413, 3996431, 3996439, 3996467, 3996511, 3996521, 3996523, 3996527, 3996529, 3996541, 3996569, 3996583, 3996589, 3996647, 3996653, 3996743, 3996763, 3996791, 3996793, 3996827, 3996857, 3996869, 3996911, 3996919, 3996931, 3996959, 3996961, 3996977, 3997001, 3997003, 3997039, 3997043, 3997051, 3997061, 3997069, 3997111, 3997117, 3997129, 3997141, 3997181, 3997211, 3997241, 3997267, 3997271, 3997297, 3997307, 3997319, 3997339, 3997349, 3997361, 3997381, 3997403, 3997453, 3997457, 3997463, 3997471, 3997493, 3997507, 3997547, 3997549, 3997559, 3997577, 3997583, 3997597, 3997603, 3997639, 3997649, 3997673, 3997723, 3997751, 3997759, 3997769, 3997801, 3997811, 3997849, 3997859, 3997871, 3997891, 3997897, 3997909, 3997919, 3997921, 3997927, 3997933, 3997963, 3997967, 3997979, 3997993, 3997997, 3998003, 3998041, 3998069, 3998089, 3998107, 3998119, 3998131, 3998171, 3998173, 3998177, 3998191, 3998209, 3998219, 3998221, 3998233, 3998249, 3998261, 3998263, 3998273, 3998299, 3998333, 3998339, 3998353, 3998369, 3998377, 3998399, 3998413, 3998419, 3998459, 3998461, 3998497, 3998521, 3998537, 3998539, 3998551, 3998557, 3998567, 3998581, 3998591, 3998609, 3998623, 3998629, 3998639, 3998641, 3998653, 3998669, 3998671, 3998677, 3998693, 3998707, 3998717, 3998719, 3998737, 3998741, 3998749, 3998773, 3998779, 3998789, 3998801, 3998809, 3998821, 3998831, 3998837, 3998881, 3998899, 3998959, 3998971, 3998983, 3998993, 3998999, 3999001, 3999053, 3999067, 3999109, 3999113, 3999143, 3999161, 3999209, 3999211, 3999239, 3999251, 3999283, 3999311, 3999313, 3999323, 3999337, 3999379, 3999383, 3999389, 3999421, 3999439, 3999449, 3999461, 3999467, 3999487, 3999491, 3999497, 3999511, 3999517, 3999529, 3999547, 3999563, 3999577, 3999581, 3999599, 3999623, 3999629, 3999637, 3999647, 3999659, 3999661, 3999683, 3999703, 3999707, 3999719, 3999727, 3999733, 3999739, 3999763, 3999773, 3999781, 3999791, 3999803, 3999851, 3999859, 3999871, 3999893, 3999901, 3999917, 3999923, 3999929, 3999949, 3999971]

n = int(input())
cur, l, r = prime[0], 0, 1

cnt = 0
while True:
    if prime[r-1] > n:
        break

    if cur < n and r < len(prime):
        cur += prime[r]
        r += 1
    elif cur > n:
        cur -= prime[l]
        l += 1
    elif cur == n:
        cnt += 1
        cur -= prime[l]
        l += 1
    else:
        break

print(cnt)