×

# What is the sum of all positive integers less than LaTeX: $$10^4$$ which are relatively prime to LaTeX: $$10^4?$$

runfile('C:/Users/Fitzgeralds/mystuff/Primetox.py', wdir='C:/Users/Fitzgeralds/mystuff')

[1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, 99, 101, 103, 107, 109, 111, 113, 117, 119, 121, 123, 127, 129, 131, 133, 137, 139, 141, 143, 147, 149, 151, 153, 157, 159, 161, 163, 167, 169, 171, 173, 177, 179, 181, 183, 187, 189, 191, 193, 197, 199, 201, 203, 207, 209, 211, 213, 217, 219, 221, 223, 227, 229, 231, 233, 237, 239, 241, 243, 247, 249, 251, 253, 257, 259, 261, 263, 267, 269, 271, 273, 277, 279, 281, 283, 287, 289, 291, 293, 297, 299, 301, 303, 307, 309, 311, 313, 317, 319, 321, 323, 327, 329, 331, 333, 337, 339, 341, 343, 347, 349, 351, 353, 357, 359, 361, 363, 367, 369, 371, 373, 377, 379, 381, 383, 387, 389, 391, 393, 397, 399, 401, 403, 407, 409, 411, 413, 417, 419, 421, 423, 427, 429, 431, 433, 437, 439, 441, 443, 447, 449, 451, 453, 457, 459, 461, 463, 467, 469, 471, 473, 477, 479, 481, 483, 487, 489, 491, 493, 497, 499, 501, 503, 507, 509, 511, 513, 517, 519, 521, 523, 527, 529, 531, 533, 537, 539, 541, 543, 547, 549, 551, 553, 557, 559, 561, 563, 567, 569, 571, 573, 577, 579, 581, 583, 587, 589, 591, 593, 597, 599, 601, 603, 607, 609, 611, 613, 617, 619, 621, 623, 627, 629, 631, 633, 637, 639, 641, 643, 647, 649, 651, 653, 657, 659, 661, 663, 667, 669, 671, 673, 677, 679, 681, 683, 687, 689, 691, 693, 697, 699, 701, 703, 707, 709, 711, 713, 717, 719, 721, 723, 727, 729, 731, 733, 737, 739, 741, 743, 747, 749, 751, 753, 757, 759, 761, 763, 767, 769, 771, 773, 777, 779, 781, 783, 787, 789, 791, 793, 797, 799, 801, 803, 807, 809, 811, 813, 817, 819, 821, 823, 827, 829, 831, 833, 837, 839, 841, 843, 847, 849, 851, 853, 857, 859, 861, 863, 867, 869, 871, 873, 877, 879, 881, 883, 887, 889, 891, 893, 897, 899, 901, 903, 907, 909, 911, 913, 917, 919, 921, 923, 927, 929, 931, 933, 937, 939, 941, 943, 947, 949, 951, 953, 957, 959, 961, 963, 967, 969, 971, 973, 977, 979, 981, 983, 987, 989, 991, 993, 997, 999, 1001, 1003, 1007, 1009, 1011, 1013, 1017, 1019, 1021, 1023, 1027, 1029, 1031, 1033, 1037, 1039, 1041, 1043, 1047, 1049, 1051, 1053, 1057, 1059, 1061, 1063, 1067, 1069, 1071, 1073, 1077, 1079, 1081, 1083, 1087, 1089, 1091, 1093, 1097, 1099, 1101, 1103, 1107, 1109, 1111, 1113, 1117, 1119, 1121, 1123, 1127, 1129, 1131, 1133, 1137, 1139, 1141, 1143, 1147, 1149, 1151, 1153, 1157, 1159, 1161, 1163, 1167, 1169, 1171, 1173, 1177, 1179, 1181, 1183, 1187, 1189, 1191, 1193, 1197, 1199, 1201, 1203, 1207, 1209, 1211, 1213, 1217, 1219, 1221, 1223, 1227, 1229, 1231, 1233, 1237, 1239, 1241, 1243, 1247, 1249, 1251, 1253, 1257, 1259, 1261, 1263, 1267, 1269, 1271, 1273, 1277, 1279, 1281, 1283, 1287, 1289, 1291, 1293, 1297, 1299, 1301, 1303, 1307, 1309, 1311, 1313, 1317, 1319, 1321, 1323, 1327, 1329, 1331, 1333, 1337, 1339, 1341, 1343, 1347, 1349, 1351, 1353, 1357, 1359, 1361, 1363, 1367, 1369, 1371, 1373, 1377, 1379, 1381, 1383, 1387, 1389, 1391, 1393, 1397, 1399, 1401, 1403, 1407, 1409, 1411, 1413, 1417, 1419, 1421, 1423, 1427, 1429, 1431, 1433, 1437, 1439, 1441, 1443, 1447, 1449, 1451, 1453, 1457, 1459, 1461, 1463, 1467, 1469, 1471, 1473, 1477, 1479, 1481, 1483, 1487, 1489, 1491, 1493, 1497, 1499, 1501, 1503, 1507, 1509, 1511, 1513, 1517, 1519, 1521, 1523, 1527, 1529, 1531, 1533, 1537, 1539, 1541, 1543, 1547, 1549, 1551, 1553, 1557, 1559, 1561, 1563, 1567, 1569, 1571, 1573, 1577, 1579, 1581, 1583, 1587, 1589, 1591, 1593, 1597, 1599, 1601, 1603, 1607, 1609, 1611, 1613, 1617, 1619, 1621, 1623, 1627, 1629, 1631, 1633, 1637, 1639, 1641, 1643, 1647, 1649, 1651, 1653, 1657, 1659, 1661, 1663, 1667, 1669, 1671, 1673, 1677, 1679, 1681, 1683, 1687, 1689, 1691, 1693, 1697, 1699, 1701, 1703, 1707, 1709, 1711, 1713, 1717, 1719, 1721, 1723, 1727, 1729, 1731, 1733, 1737, 1739, 1741, 1743, 1747, 1749, 1751, 1753, 1757, 1759, 1761, 1763, 1767, 1769, 1771, 1773, 1777, 1779, 1781, 1783, 1787, 1789, 1791, 1793, 1797, 1799, 1801, 1803, 1807, 1809, 1811, 1813, 1817, 1819, 1821, 1823, 1827, 1829, 1831, 1833, 1837, 1839, 1841, 1843, 1847, 1849, 1851, 1853, 1857, 1859, 1861, 1863, 1867, 1869, 1871, 1873, 1877, 1879, 1881, 1883, 1887, 1889, 1891, 1893, 1897, 1899, 1901, 1903, 1907, 1909, 1911, 1913, 1917, 1919, 1921, 1923, 1927, 1929, 1931, 1933, 1937, 1939, 1941, 1943, 1947, 1949, 1951, 1953, 1957, 1959, 1961, 1963, 1967, 1969, 1971, 1973, 1977, 1979, 1981, 1983, 1987, 1989, 1991, 1993, 1997, 1999, 2001, 2003, 2007, 2009, 2011, 2013, 2017, 2019, 2021, 2023, 2027, 2029, 2031, 2033, 2037, 2039, 2041, 2043, 2047, 2049, 2051, 2053, 2057, 2059, 2061, 2063, 2067, 2069, 2071, 2073, 2077, 2079, 2081, 2083, 2087, 2089, 2091, 2093, 2097, 2099, 2101, 2103, 2107, 2109, 2111, 2113, 2117, 2119, 2121, 2123, 2127, 2129, 2131, 2133, 2137, 2139, 2141, 2143, 2147, 2149, 2151, 2153, 2157, 2159, 2161, 2163, 2167, 2169, 2171, 2173, 2177, 2179, 2181, 2183, 2187, 2189, 2191, 2193, 2197, 2199, 2201, 2203, 2207, 2209, 2211, 2213, 2217, 2219, 2221, 2223, 2227, 2229, 2231, 2233, 2237, 2239, 2241, 2243, 2247, 2249, 2251, 2253, 2257, 2259, 2261, 2263, 2267, 2269, 2271, 2273, 2277, 2279, 2281, 2283, 2287, 2289, 2291, 2293, 2297, 2299, 2301, 2303, 2307, 2309, 2311, 2313, 2317, 2319, 2321, 2323, 2327, 2329, 2331, 2333, 2337, 2339, 2341, 2343, 2347, 2349, 2351, 2353, 2357, 2359, 2361, 2363, 2367, 2369, 2371, 2373, 2377, 2379, 2381, 2383, 2387, 2389, 2391, 2393, 2397, 2399, 2401, 2403, 2407, 2409, 2411, 2413, 2417, 2419, 2421, 2423, 2427, 2429, 2431, 2433, 2437, 2439, 2441, 2443, 2447, 2449, 2451, 2453, 2457, 2459, 2461, 2463, 2467, 2469, 2471, 2473, 2477, 2479, 2481, 2483, 2487, 2489, 2491, 2493, 2497, 2499, 2501, 2503, 2507, 2509, 2511, 2513, 2517, 2519, 2521, 2523, 2527, 2529, 2531, 2533, 2537, 2539, 2541, 2543, 2547, 2549, 2551, 2553, 2557, 2559, 2561, 2563, 2567, 2569, 2571, 2573, 2577, 2579, 2581, 2583, 2587, 2589, 2591, 2593, 2597, 2599, 2601, 2603, 2607, 2609, 2611, 2613, 2617, 2619, 2621, 2623, 2627, 2629, 2631, 2633, 2637, 2639, 2641, 2643, 2647, 2649, 2651, 2653, 2657, 2659, 2661, 2663, 2667, 2669, 2671, 2673, 2677, 2679, 2681, 2683, 2687, 2689, 2691, 2693, 2697, 2699, 2701, 2703, 2707, 2709, 2711, 2713, 2717, 2719, 2721, 2723, 2727, 2729, 2731, 2733, 2737, 2739, 2741, 2743, 2747, 2749, 2751, 2753, 2757, 2759, 2761, 2763, 2767, 2769, 2771, 2773, 2777, 2779, 2781, 2783, 2787, 2789, 2791, 2793, 2797, 2799, 2801, 2803, 2807, 2809, 2811, 2813, 2817, 2819, 2821, 2823, 2827, 2829, 2831, 2833, 2837, 2839, 2841, 2843, 2847, 2849, 2851, 2853, 2857, 2859, 2861, 2863, 2867, 2869, 2871, 2873, 2877, 2879, 2881, 2883, 2887, 2889, 2891, 2893, 2897, 2899, 2901, 2903, 2907, 2909, 2911, 2913, 2917, 2919, 2921, 2923, 2927, 2929, 2931, 2933, 2937, 2939, 2941, 2943, 2947, 2949, 2951, 2953, 2957, 2959, 2961, 2963, 2967, 2969, 2971, 2973, 2977, 2979, 2981, 2983, 2987, 2989, 2991, 2993, 2997, 2999, 3001, 3003, 3007, 3009, 3011, 3013, 3017, 3019, 3021, 3023, 3027, 3029, 3031, 3033, 3037, 3039, 3041, 3043, 3047, 3049, 3051, 3053, 3057, 3059, 3061, 3063, 3067, 3069, 3071, 3073, 3077, 3079, 3081, 3083, 3087, 3089, 3091, 3093, 3097, 3099, 3101, 3103, 3107, 3109, 3111, 3113, 3117, 3119, 3121, 3123, 3127, 3129, 3131, 3133, 3137, 3139, 3141, 3143, 3147, 3149, 3151, 3153, 3157, 3159, 3161, 3163, 3167, 3169, 3171, 3173, 3177, 3179, 3181, 3183, 3187, 3189, 3191, 3193, 3197, 3199, 3201, 3203, 3207, 3209, 3211, 3213, 3217, 3219, 3221, 3223, 3227, 3229, 3231, 3233, 3237, 3239, 3241, 3243, 3247, 3249, 3251, 3253, 3257, 3259, 3261, 3263, 3267, 3269, 3271, 3273, 3277, 3279, 3281, 3283, 3287, 3289, 3291, 3293, 3297, 3299, 3301, 3303, 3307, 3309, 3311, 3313, 3317, 3319, 3321, 3323, 3327, 3329, 3331, 3333, 3337, 3339, 3341, 3343, 3347, 3349, 3351, 3353, 3357, 3359, 3361, 3363, 3367, 3369, 3371, 3373, 3377, 3379, 3381, 3383, 3387, 3389, 3391, 3393, 3397, 3399, 3401, 3403, 3407, 3409, 3411, 3413, 3417, 3419, 3421, 3423, 3427, 3429, 3431, 3433, 3437, 3439, 3441, 3443, 3447, 3449, 3451, 3453, 3457, 3459, 3461, 3463, 3467, 3469, 3471, 3473, 3477, 3479, 3481, 3483, 3487, 3489, 3491, 3493, 3497, 3499, 3501, 3503, 3507, 3509, 3511, 3513, 3517, 3519, 3521, 3523, 3527, 3529, 3531, 3533, 3537, 3539, 3541, 3543, 3547, 3549, 3551, 3553, 3557, 3559, 3561, 3563, 3567, 3569, 3571, 3573, 3577, 3579, 3581, 3583, 3587, 3589, 3591, 3593, 3597, 3599, 3601, 3603, 3607, 3609, 3611, 3613, 3617, 3619, 3621, 3623, 3627, 3629, 3631, 3633, 3637, 3639, 3641, 3643, 3647, 3649, 3651, 3653, 3657, 3659, 3661, 3663, 3667, 3669, 3671, 3673, 3677, 3679, 3681, 3683, 3687, 3689, 3691, 3693, 3697, 3699, 3701, 3703, 3707, 3709, 3711, 3713, 3717, 3719, 3721, 3723, 3727, 3729, 3731, 3733, 3737, 3739, 3741, 3743, 3747, 3749, 3751, 3753, 3757, 3759, 3761, 3763, 3767, 3769, 3771, 3773, 3777, 3779, 3781, 3783, 3787, 3789, 3791, 3793, 3797, 3799, 3801, 3803, 3807, 3809, 3811, 3813, 3817, 3819, 3821, 3823, 3827, 3829, 3831, 3833, 3837, 3839, 3841, 3843, 3847, 3849, 3851, 3853, 3857, 3859, 3861, 3863, 3867, 3869, 3871, 3873, 3877, 3879, 3881, 3883, 3887, 3889, 3891, 3893, 3897, 3899, 3901, 3903, 3907, 3909, 3911, 3913, 3917, 3919, 3921, 3923, 3927, 3929, 3931, 3933, 3937, 3939, 3941, 3943, 3947, 3949, 3951, 3953, 3957, 3959, 3961, 3963, 3967, 3969, 3971, 3973, 3977, 3979, 3981, 3983, 3987, 3989, 3991, 3993, 3997, 3999, 4001, 4003, 4007, 4009, 4011, 4013, 4017, 4019, 4021, 4023, 4027, 4029, 4031, 4033, 4037, 4039, 4041, 4043, 4047, 4049, 4051, 4053, 4057, 4059, 4061, 4063, 4067, 4069, 4071, 4073, 4077, 4079, 4081, 4083, 4087, 4089, 4091, 4093, 4097, 4099, 4101, 4103, 4107, 4109, 4111, 4113, 4117, 4119, 4121, 4123, 4127, 4129, 4131, 4133, 4137, 4139, 4141, 4143, 4147, 4149, 4151, 4153, 4157, 4159, 4161, 4163, 4167, 4169, 4171, 4173, 4177, 4179, 4181, 4183, 4187, 4189, 4191, 4193, 4197, 4199, 4201, 4203, 4207, 4209, 4211, 4213, 4217, 4219, 4221, 4223, 4227, 4229, 4231, 4233, 4237, 4239, 4241, 4243, 4247, 4249, 4251, 4253, 4257, 4259, 4261, 4263, 4267, 4269, 4271, 4273, 4277, 4279, 4281, 4283, 4287, 4289, 4291, 4293, 4297, 4299, 4301, 4303, 4307, 4309, 4311, 4313, 4317, 4319, 4321, 4323, 4327, 4329, 4331, 4333, 4337, 4339, 4341, 4343, 4347, 4349, 4351, 4353, 4357, 4359, 4361, 4363, 4367, 4369, 4371, 4373, 4377, 4379, 4381, 4383, 4387, 4389, 4391, 4393, 4397, 4399, 4401, 4403, 4407, 4409, 4411, 4413, 4417, 4419, 4421, 4423, 4427, 4429, 4431, 4433, 4437, 4439, 4441, 4443, 4447, 4449, 4451, 4453, 4457, 4459, 4461, 4463, 4467, 4469, 4471, 4473, 4477, 4479, 4481, 4483, 4487, 4489, 4491, 4493, 4497, 4499, 4501, 4503, 4507, 4509, 4511, 4513, 4517, 4519, 4521, 4523, 4527, 4529, 4531, 4533, 4537, 4539, 4541, 4543, 4547, 4549, 4551, 4553, 4557, 4559, 4561, 4563, 4567, 4569, 4571, 4573, 4577, 4579, 4581, 4583, 4587, 4589, 4591, 4593, 4597, 4599, 4601, 4603, 4607, 4609, 4611, 4613, 4617, 4619, 4621, 4623, 4627, 4629, 4631, 4633, 4637, 4639, 4641, 4643, 4647, 4649, 4651, 4653, 4657, 4659, 4661, 4663, 4667, 4669, 4671, 4673, 4677, 4679, 4681, 4683, 4687, 4689, 4691, 4693, 4697, 4699, 4701, 4703, 4707, 4709, 4711, 4713, 4717, 4719, 4721, 4723, 4727, 4729, 4731, 4733, 4737, 4739, 4741, 4743, 4747, 4749, 4751, 4753, 4757, 4759, 4761, 4763, 4767, 4769, 4771, 4773, 4777, 4779, 4781, 4783, 4787, 4789, 4791, 4793, 4797, 4799, 4801, 4803, 4807, 4809, 4811, 4813, 4817, 4819, 4821, 4823, 4827, 4829, 4831, 4833, 4837, 4839, 4841, 4843, 4847, 4849, 4851, 4853, 4857, 4859, 4861, 4863, 4867, 4869, 4871, 4873, 4877, 4879, 4881, 4883, 4887, 4889, 4891, 4893, 4897, 4899, 4901, 4903, 4907, 4909, 4911, 4913, 4917, 4919, 4921, 4923, 4927, 4929, 4931, 4933, 4937, 4939, 4941, 4943, 4947, 4949, 4951, 4953, 4957, 4959, 4961, 4963, 4967, 4969, 4971, 4973, 4977, 4979, 4981, 4983, 4987, 4989, 4991, 4993, 4997, 4999, 5001, 5003, 5007, 5009, 5011, 5013, 5017, 5019, 5021, 5023, 5027, 5029, 5031, 5033, 5037, 5039, 5041, 5043, 5047, 5049, 5051, 5053, 5057, 5059, 5061, 5063, 5067, 5069, 5071, 5073, 5077, 5079, 5081, 5083, 5087, 5089, 5091, 5093, 5097, 5099, 5101, 5103, 5107, 5109, 5111, 5113, 5117, 5119, 5121, 5123, 5127, 5129, 5131, 5133, 5137, 5139, 5141, 5143, 5147, 5149, 5151, 5153, 5157, 5159, 5161, 5163, 5167, 5169, 5171, 5173, 5177, 5179, 5181, 5183, 5187, 5189, 5191, 5193, 5197, 5199, 5201, 5203, 5207, 5209, 5211, 5213, 5217, 5219, 5221, 5223, 5227, 5229, 5231, 5233, 5237, 5239, 5241, 5243, 5247, 5249, 5251, 5253, 5257, 5259, 5261, 5263, 5267, 5269, 5271, 5273, 5277, 5279, 5281, 5283, 5287, 5289, 5291, 5293, 5297, 5299, 5301, 5303, 5307, 5309, 5311, 5313, 5317, 5319, 5321, 5323, 5327, 5329, 5331, 5333, 5337, 5339, 5341, 5343, 5347, 5349, 5351, 5353, 5357, 5359, 5361, 5363, 5367, 5369, 5371, 5373, 5377, 5379, 5381, 5383, 5387, 5389, 5391, 5393, 5397, 5399, 5401, 5403, 5407, 5409, 5411, 5413, 5417, 5419, 5421, 5423, 5427, 5429, 5431, 5433, 5437, 5439, 5441, 5443, 5447, 5449, 5451, 5453, 5457, 5459, 5461, 5463, 5467, 5469, 5471, 5473, 5477, 5479, 5481, 5483, 5487, 5489, 5491, 5493, 5497, 5499, 5501, 5503, 5507, 5509, 5511, 5513, 5517, 5519, 5521, 5523, 5527, 5529, 5531, 5533, 5537, 5539, 5541, 5543, 5547, 5549, 5551, 5553, 5557, 5559, 5561, 5563, 5567, 5569, 5571, 5573, 5577, 5579, 5581, 5583, 5587, 5589, 5591, 5593, 5597, 5599, 5601, 5603, 5607, 5609, 5611, 5613, 5617, 5619, 5621, 5623, 5627, 5629, 5631, 5633, 5637, 5639, 5641, 5643, 5647, 5649, 5651, 5653, 5657, 5659, 5661, 5663, 5667, 5669, 5671, 5673, 5677, 5679, 5681, 5683, 5687, 5689, 5691, 5693, 5697, 5699, 5701, 5703, 5707, 5709, 5711, 5713, 5717, 5719, 5721, 5723, 5727, 5729, 5731, 5733, 5737, 5739, 5741, 5743, 5747, 5749, 5751, 5753, 5757, 5759, 5761, 5763, 5767, 5769, 5771, 5773, 5777, 5779, 5781, 5783, 5787, 5789, 5791, 5793, 5797, 5799, 5801, 5803, 5807, 5809, 5811, 5813, 5817, 5819, 5821, 5823, 5827, 5829, 5831, 5833, 5837, 5839, 5841, 5843, 5847, 5849, 5851, 5853, 5857, 5859, 5861, 5863, 5867, 5869, 5871, 5873, 5877, 5879, 5881, 5883, 5887, 5889, 5891, 5893, 5897, 5899, 5901, 5903, 5907, 5909, 5911, 5913, 5917, 5919, 5921, 5923, 5927, 5929, 5931, 5933, 5937, 5939, 5941, 5943, 5947, 5949, 5951, 5953, 5957, 5959, 5961, 5963, 5967, 5969, 5971, 5973, 5977, 5979, 5981, 5983, 5987, 5989, 5991, 5993, 5997, 5999, 6001, 6003, 6007, 6009, 6011, 6013, 6017, 6019, 6021, 6023, 6027, 6029, 6031, 6033, 6037, 6039, 6041, 6043, 6047, 6049, 6051, 6053, 6057, 6059, 6061, 6063, 6067, 6069, 6071, 6073, 6077, 6079, 6081, 6083, 6087, 6089, 6091, 6093, 6097, 6099, 6101, 6103, 6107, 6109, 6111, 6113, 6117, 6119, 6121, 6123, 6127, 6129, 6131, 6133, 6137, 6139, 6141, 6143, 6147, 6149, 6151, 6153, 6157, 6159, 6161, 6163, 6167, 6169, 6171, 6173, 6177, 6179, 6181, 6183, 6187, 6189, 6191, 6193, 6197, 6199, 6201, 6203, 6207, 6209, 6211, 6213, 6217, 6219, 6221, 6223, 6227, 6229, 6231, 6233, 6237, 6239, 6241, 6243, 6247, 6249, 6251, 6253, 6257, 6259, 6261, 6263, 6267, 6269, 6271, 6273, 6277, 6279, 6281, 6283, 6287, 6289, 6291, 6293, 6297, 6299, 6301, 6303, 6307, 6309, 6311, 6313, 6317, 6319, 6321, 6323, 6327, 6329, 6331, 6333, 6337, 6339, 6341, 6343, 6347, 6349, 6351, 6353, 6357, 6359, 6361, 6363, 6367, 6369, 6371, 6373, 6377, 6379, 6381, 6383, 6387, 6389, 6391, 6393, 6397, 6399, 6401, 6403, 6407, 6409, 6411, 6413, 6417, 6419, 6421, 6423, 6427, 6429, 6431, 6433, 6437, 6439, 6441, 6443, 6447, 6449, 6451, 6453, 6457, 6459, 6461, 6463, 6467, 6469, 6471, 6473, 6477, 6479, 6481, 6483, 6487, 6489, 6491, 6493, 6497, 6499, 6501, 6503, 6507, 6509, 6511, 6513, 6517, 6519, 6521, 6523, 6527, 6529, 6531, 6533, 6537, 6539, 6541, 6543, 6547, 6549, 6551, 6553, 6557, 6559, 6561, 6563, 6567, 6569, 6571, 6573, 6577, 6579, 6581, 6583, 6587, 6589, 6591, 6593, 6597, 6599, 6601, 6603, 6607, 6609, 6611, 6613, 6617, 6619, 6621, 6623, 6627, 6629, 6631, 6633, 6637, 6639, 6641, 6643, 6647, 6649, 6651, 6653, 6657, 6659, 6661, 6663, 6667, 6669, 6671, 6673, 6677, 6679, 6681, 6683, 6687, 6689, 6691, 6693, 6697, 6699, 6701, 6703, 6707, 6709, 6711, 6713, 6717, 6719, 6721, 6723, 6727, 6729, 6731, 6733, 6737, 6739, 6741, 6743, 6747, 6749, 6751, 6753, 6757, 6759, 6761, 6763, 6767, 6769, 6771, 6773, 6777, 6779, 6781, 6783, 6787, 6789, 6791, 6793, 6797, 6799, 6801, 6803, 6807, 6809, 6811, 6813, 6817, 6819, 6821, 6823, 6827, 6829, 6831, 6833, 6837, 6839, 6841, 6843, 6847, 6849, 6851, 6853, 6857, 6859, 6861, 6863, 6867, 6869, 6871, 6873, 6877, 6879, 6881, 6883, 6887, 6889, 6891, 6893, 6897, 6899, 6901, 6903, 6907, 6909, 6911, 6913, 6917, 6919, 6921, 6923, 6927, 6929, 6931, 6933, 6937, 6939, 6941, 6943, 6947, 6949, 6951, 6953, 6957, 6959, 6961, 6963, 6967, 6969, 6971, 6973, 6977, 6979, 6981, 6983, 6987, 6989, 6991, 6993, 6997, 6999, 7001, 7003, 7007, 7009, 7011, 7013, 7017, 7019, 7021, 7023, 7027, 7029, 7031, 7033, 7037, 7039, 7041, 7043, 7047, 7049, 7051, 7053, 7057, 7059, 7061, 7063, 7067, 7069, 7071, 7073, 7077, 7079, 7081, 7083, 7087, 7089, 7091, 7093, 7097, 7099, 7101, 7103, 7107, 7109, 7111, 7113, 7117, 7119, 7121, 7123, 7127, 7129, 7131, 7133, 7137, 7139, 7141, 7143, 7147, 7149, 7151, 7153, 7157, 7159, 7161, 7163, 7167, 7169, 7171, 7173, 7177, 7179, 7181, 7183, 7187, 7189, 7191, 7193, 7197, 7199, 7201, 7203, 7207, 7209, 7211, 7213, 7217, 7219, 7221, 7223, 7227, 7229, 7231, 7233, 7237, 7239, 7241, 7243, 7247, 7249, 7251, 7253, 7257, 7259, 7261, 7263, 7267, 7269, 7271, 7273, 7277, 7279, 7281, 7283, 7287, 7289, 7291, 7293, 7297, 7299, 7301, 7303, 7307, 7309, 7311, 7313, 7317, 7319, 7321, 7323, 7327, 7329, 7331, 7333, 7337, 7339, 7341, 7343, 7347, 7349, 7351, 7353, 7357, 7359, 7361, 7363, 7367, 7369, 7371, 7373, 7377, 7379, 7381, 7383, 7387, 7389, 7391, 7393, 7397, 7399, 7401, 7403, 7407, 7409, 7411, 7413, 7417, 7419, 7421, 7423, 7427, 7429, 7431, 7433, 7437, 7439, 7441, 7443, 7447, 7449, 7451, 7453, 7457, 7459, 7461, 7463, 7467, 7469, 7471, 7473, 7477, 7479, 7481, 7483, 7487, 7489, 7491, 7493, 7497, 7499, 7501, 7503, 7507, 7509, 7511, 7513, 7517, 7519, 7521, 7523, 7527, 7529, 7531, 7533, 7537, 7539, 7541, 7543, 7547, 7549, 7551, 7553, 7557, 7559, 7561, 7563, 7567, 7569, 7571, 7573, 7577, 7579, 7581, 7583, 7587, 7589, 7591, 7593, 7597, 7599, 7601, 7603, 7607, 7609, 7611, 7613, 7617, 7619, 7621, 7623, 7627, 7629, 7631, 7633, 7637, 7639, 7641, 7643, 7647, 7649, 7651, 7653, 7657, 7659, 7661, 7663, 7667, 7669, 7671, 7673, 7677, 7679, 7681, 7683, 7687, 7689, 7691, 7693, 7697, 7699, 7701, 7703, 7707, 7709, 7711, 7713, 7717, 7719, 7721, 7723, 7727, 7729, 7731, 7733, 7737, 7739, 7741, 7743, 7747, 7749, 7751, 7753, 7757, 7759, 7761, 7763, 7767, 7769, 7771, 7773, 7777, 7779, 7781, 7783, 7787, 7789, 7791, 7793, 7797, 7799, 7801, 7803, 7807, 7809, 7811, 7813, 7817, 7819, 7821, 7823, 7827, 7829, 7831, 7833, 7837, 7839, 7841, 7843, 7847, 7849, 7851, 7853, 7857, 7859, 7861, 7863, 7867, 7869, 7871, 7873, 7877, 7879, 7881, 7883, 7887, 7889, 7891, 7893, 7897, 7899, 7901, 7903, 7907, 7909, 7911, 7913, 7917, 7919, 7921, 7923, 7927, 7929, 7931, 7933, 7937, 7939, 7941, 7943, 7947, 7949, 7951, 7953, 7957, 7959, 7961, 7963, 7967, 7969, 7971, 7973, 7977, 7979, 7981, 7983, 7987, 7989, 7991, 7993, 7997, 7999, 8001, 8003, 8007, 8009, 8011, 8013, 8017, 8019, 8021, 8023, 8027, 8029, 8031, 8033, 8037, 8039, 8041, 8043, 8047, 8049, 8051, 8053, 8057, 8059, 8061, 8063, 8067, 8069, 8071, 8073, 8077, 8079, 8081, 8083, 8087, 8089, 8091, 8093, 8097, 8099, 8101, 8103, 8107, 8109, 8111, 8113, 8117, 8119, 8121, 8123, 8127, 8129, 8131, 8133, 8137, 8139, 8141, 8143, 8147, 8149, 8151, 8153, 8157, 8159, 8161, 8163, 8167, 8169, 8171, 8173, 8177, 8179, 8181, 8183, 8187, 8189, 8191, 8193, 8197, 8199, 8201, 8203, 8207, 8209, 8211, 8213, 8217, 8219, 8221, 8223, 8227, 8229, 8231, 8233, 8237, 8239, 8241, 8243, 8247, 8249, 8251, 8253, 8257, 8259, 8261, 8263, 8267, 8269, 8271, 8273, 8277, 8279, 8281, 8283, 8287, 8289, 8291, 8293, 8297, 8299, 8301, 8303, 8307, 8309, 8311, 8313, 8317, 8319, 8321, 8323, 8327, 8329, 8331, 8333, 8337, 8339, 8341, 8343, 8347, 8349, 8351, 8353, 8357, 8359, 8361, 8363, 8367, 8369, 8371, 8373, 8377, 8379, 8381, 8383, 8387, 8389, 8391, 8393, 8397, 8399, 8401, 8403, 8407, 8409, 8411, 8413, 8417, 8419, 8421, 8423, 8427, 8429, 8431, 8433, 8437, 8439, 8441, 8443, 8447, 8449, 8451, 8453, 8457, 8459, 8461, 8463, 8467, 8469, 8471, 8473, 8477, 8479, 8481, 8483, 8487, 8489, 8491, 8493, 8497, 8499, 8501, 8503, 8507, 8509, 8511, 8513, 8517, 8519, 8521, 8523, 8527, 8529, 8531, 8533, 8537, 8539, 8541, 8543, 8547, 8549, 8551, 8553, 8557, 8559, 8561, 8563, 8567, 8569, 8571, 8573, 8577, 8579, 8581, 8583, 8587, 8589, 8591, 8593, 8597, 8599, 8601, 8603, 8607, 8609, 8611, 8613, 8617, 8619, 8621, 8623, 8627, 8629, 8631, 8633, 8637, 8639, 8641, 8643, 8647, 8649, 8651, 8653, 8657, 8659, 8661, 8663, 8667, 8669, 8671, 8673, 8677, 8679, 8681, 8683, 8687, 8689, 8691, 8693, 8697, 8699, 8701, 8703, 8707, 8709, 8711, 8713, 8717, 8719, 8721, 8723, 8727, 8729, 8731, 8733, 8737, 8739, 8741, 8743, 8747, 8749, 8751, 8753, 8757, 8759, 8761, 8763, 8767, 8769, 8771, 8773, 8777, 8779, 8781, 8783, 8787, 8789, 8791, 8793, 8797, 8799, 8801, 8803, 8807, 8809, 8811, 8813, 8817, 8819, 8821, 8823, 8827, 8829, 8831, 8833, 8837, 8839, 8841, 8843, 8847, 8849, 8851, 8853, 8857, 8859, 8861, 8863, 8867, 8869, 8871, 8873, 8877, 8879, 8881, 8883, 8887, 8889, 8891, 8893, 8897, 8899, 8901, 8903, 8907, 8909, 8911, 8913, 8917, 8919, 8921, 8923, 8927, 8929, 8931, 8933, 8937, 8939, 8941, 8943, 8947, 8949, 8951, 8953, 8957, 8959, 8961, 8963, 8967, 8969, 8971, 8973, 8977, 8979, 8981, 8983, 8987, 8989, 8991, 8993, 8997, 8999, 9001, 9003, 9007, 9009, 9011, 9013, 9017, 9019, 9021, 9023, 9027, 9029, 9031, 9033, 9037, 9039, 9041, 9043, 9047, 9049, 9051, 9053, 9057, 9059, 9061, 9063, 9067, 9069, 9071, 9073, 9077, 9079, 9081, 9083, 9087, 9089, 9091, 9093, 9097, 9099, 9101, 9103, 9107, 9109, 9111, 9113, 9117, 9119, 9121, 9123, 9127, 9129, 9131, 9133, 9137, 9139, 9141, 9143, 9147, 9149, 9151, 9153, 9157, 9159, 9161, 9163, 9167, 9169, 9171, 9173, 9177, 9179, 9181, 9183, 9187, 9189, 9191, 9193, 9197, 9199, 9201, 9203, 9207, 9209, 9211, 9213, 9217, 9219, 9221, 9223, 9227, 9229, 9231, 9233, 9237, 9239, 9241, 9243, 9247, 9249, 9251, 9253, 9257, 9259, 9261, 9263, 9267, 9269, 9271, 9273, 9277, 9279, 9281, 9283, 9287, 9289, 9291, 9293, 9297, 9299, 9301, 9303, 9307, 9309, 9311, 9313, 9317, 9319, 9321, 9323, 9327, 9329, 9331, 9333, 9337, 9339, 9341, 9343, 9347, 9349, 9351, 9353, 9357, 9359, 9361, 9363, 9367, 9369, 9371, 9373, 9377, 9379, 9381, 9383, 9387, 9389, 9391, 9393, 9397, 9399, 9401, 9403, 9407, 9409, 9411, 9413, 9417, 9419, 9421, 9423, 9427, 9429, 9431, 9433, 9437, 9439, 9441, 9443, 9447, 9449, 9451, 9453, 9457, 9459, 9461, 9463, 9467, 9469, 9471, 9473, 9477, 9479, 9481, 9483, 9487, 9489, 9491, 9493, 9497, 9499, 9501, 9503, 9507, 9509, 9511, 9513, 9517, 9519, 9521, 9523, 9527, 9529, 9531, 9533, 9537, 9539, 9541, 9543, 9547, 9549, 9551, 9553, 9557, 9559, 9561, 9563, 9567, 9569, 9571, 9573, 9577, 9579, 9581, 9583, 9587, 9589, 9591, 9593, 9597, 9599, 9601, 9603, 9607, 9609, 9611, 9613, 9617, 9619, 9621, 9623, 9627, 9629, 9631, 9633, 9637, 9639, 9641, 9643, 9647, 9649, 9651, 9653, 9657, 9659, 9661, 9663, 9667, 9669, 9671, 9673, 9677, 9679, 9681, 9683, 9687, 9689, 9691, 9693, 9697, 9699, 9701, 9703, 9707, 9709, 9711, 9713, 9717, 9719, 9721, 9723, 9727, 9729, 9731, 9733, 9737, 9739, 9741, 9743, 9747, 9749, 9751, 9753, 9757, 9759, 9761, 9763, 9767, 9769, 9771, 9773, 9777, 9779, 9781, 9783, 9787, 9789, 9791, 9793, 9797, 9799, 9801, 9803, 9807, 9809, 9811, 9813, 9817, 9819, 9821, 9823, 9827, 9829, 9831, 9833, 9837, 9839, 9841, 9843, 9847, 9849, 9851, 9853, 9857, 9859, 9861, 9863, 9867, 9869, 9871, 9873, 9877, 9879, 9881, 9883, 9887, 9889, 9891, 9893, 9897, 9899, 9901, 9903, 9907, 9909, 9911, 9913, 9917, 9919, 9921, 9923, 9927, 9929, 9931, 9933, 9937, 9939, 9941, 9943, 9947, 9949, 9951, 9953, 9957, 9959, 9961, 9963, 9967, 9969, 9971, 9973, 9977, 9979, 9981, 9983, 9987, 9989, 9991, 9993, 9997, 9999]

Number of positive integers relatively prime to 10000: 4000 Sum of positive integers relatively prime to 10000: 20000000

Note by Michael Fitzgerald
2 months, 1 week ago