def test_find_primes_up_to_10(self):
self.assertEqual(primes(10), [2, 3, 5, 7])
import sieve
primeList = sieve.primes(2000000)
tot = 0
for index, truth in enumerate(primeList):
if truth:
tot += index
print tot
def test_find_first_prime(self):
self.assertEqual(primes(2), [2])
import sieve
count = 1
for n in sieve.primes():
print n
count += 1
if count > 10:
break
import sieve # test 1 - the first prime should be 2 gen = sieve.primes() assert gen.next() == 2
def test_find_primes_up_to_1000(self):
self.assertEqual(
primes(1000),
[
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,
],
)
def test_no_primes_under_two(self):
self.assertEqual(primes(1), [])
def test_find_primes_up_to_100(self):
self.assertEqual(primes(100), [
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
])
def test_find_primes_up_to_200(self):
self.assertEqual(primes(200), [
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
])
def test_limit_is_prime(self):
self.assertEqual(primes(13), [2, 3, 5, 7, 11, 13])
def test_find_primes_up_to_5000(self):
self.assertEqual(primes(5000), [
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
])
def test_find_three_prime(self):
self.assertEqual(primes(7), [2, 3, 5, 7])
self.assertEqual(primes(8), [2, 3, 5, 7])
self.assertEqual(primes(9), [2, 3, 5, 7])
self.assertEqual(primes(10), [2, 3, 5, 7])
def test_find_three_prime(self):
self.assertEqual(primes(5), [2, 3, 5])
self.assertEqual(primes(6), [2, 3, 5])
def test_find_two_prime(self):
self.assertEqual(primes(3), [2, 3])
self.assertEqual(primes(4), [2, 3])
