+37 Are there any numbers that have prime factors between 30 & 140 only? You cannot have a prime factor below 30 and a prime factor higher than 40
The composite numbers whose prime factors fall between 30 & 140 are 961, 1147, 1271, 1333, 1369, 1457, 1517, 1591, 1643, 1681, 1739, 1763, 1829, 1849, 1891, 1927, 1961, 2021, 2077, 2173, 2183, 2201, 2209, 2257, 2263, 2279, 2419, 2449, 2479, 2491, 2501, 2537, 2573, 2623, 2627, 2701, 2747, 2759, 2773, 2809, 2867, 2881, 2911, 2923, 2993, 3007, 3053, 3071, 3127, 3131, 3139, 3149, 3193, 3233, 3239, 3293, 3317, 3337, 3379, 3397, 3403, 3431, 3481, 3503, 3551, 3569, 3589, 3599, 3649, 3713, 3721, 3737, 3763, 3811, 3827, 3869, 3901, 3953, 3977, 4087, 4141, 4171, 4181, 4183, 4187, 4189, 4307, 4331, 4343, 4399, 4453, 4489, 4559, 4661, 4717, 4747, 4757, 4819, 4891, 4897, 5041, 5063, 5141, 5143, 5183, 5251, 5293, 5329, 5353, 5429, 5459, 5461, 5561, 5609, 5671, 5723, 5767, 5893, 5917, 5959, 5963, 6059, 6161, 6241, 6319, 6497, 6499, 6557, 6767, 6887, 6889, 7031, 7171, 7081, 7387, 7373, 7663, 7921, 7979, 8051, 8249, 8383, 8633, 8927, 8989, 9379, 9409, 9563, 9797, 9991, 10001, 10201, 10403, 10609, 11021, 11227, 11449, 11881 and 19321
They ALL have prime factors factored between these prime numbers,
31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137 & 139
There are 24 prime numbers between 30 and 140 and multiplied together should give you:
[24 x 25] / 2 ==300 integers - each with 2 prime factors between 30 and 140.
(961, 1147, 1271, 1333, 1369, 1457, 1517, 1591, 1643, 1681, 1739, 1763, 1829, 1849, 1891, 1927, 1961, 2021, 2077, 2173, 2183, 2201, 2209, 2257, 2263, 2279, 2419, 2449, 2479, 2491, 2501, 2537, 2573, 2623, 2627, 2701, 2747, 2759, 2773, 2809, 2867, 2881, 2911, 2923, 2993, 3007, 3053, 3071, 3127, 3131, 3139, 3149, 3193, 3233, 3239, 3293, 3317, 3337, 3379, 3397, 3403, 3431, 3481, 3503, 3551, 3569, 3589, 3599, 3649, 3713, 3721, 3737, 3763, 3811, 3827, 3869, 3901, 3937, 3953, 3959, 3977, 4033, 4061, 4087, 4141, 4171, 4181, 4183, 4187, 4189, 4223, 4247, 4307, 4309, 4331, 4343, 4387, 4399, 4429, 4453, 4469, 4489, 4559, 4601, 4633, 4661, 4687, 4699, 4717, 4747, 4757, 4819, 4841, 4847, 4859, 4891, 4897, 5029, 5041, 5063, 5069, 5123, 5141, 5143, 5183, 5207, 5251, 5293, 5311, 5329, 5353, 5371, 5429, 5459, 5461, 5561, 5609, 5617, 5633, 5671, 5699, 5723, 5767, 5777, 5891, 5893, 5917, 5959, 5963, 5969, 5977, 5989, 6059, 6077, 6157, 6161, 6241, 6283, 6313, 6319, 6431, 6439, 6497, 6499, 6527, 6533, 6557, 6649, 6667, 6731, 6767, 6887, 6889, 6893, 6901, 6943, 7031, 7081, 7169, 7171, 7261, 7303, 7313, 7367, 7373, 7387, 7493, 7519, 7571, 7597, 7663, 7729, 7739, 7747, 7811, 7921, 7957, 7979, 7991, 8023, 8051, 8083, 8137, 8201, 8249, 8357, 8383, 8453, 8479, 8509, 8549, 8611, 8633, 8777, 8881, 8927, 8989, 9017, 9047, 9167, 9179, 9271, 9301, 9313, 9379, 9409, 9523, 9563, 9701, 9727, 9797, 9869, 9991) = 233 numbers
They all have prime factors that FALL between 30 & 140
