Well to make it easy pick 3 prime numbers. In this case I'll use 3, 11, and 13. Multiply all 3 together to get 429. For the second part, pick a prime number and multiply it by 3, in this case 3, which when multiplied by 3 equals 9. Multiply that by a prime number squared, like 11 which is 121. Then multiply by 13. 3x3x3x11x11x13 = 42471
For the first requirement, a composite number greater than 40 with three unique prime factors is 42. For the second requirement, a composite number greater than 1000 with the specified prime factorization is 6615. Other examples can also fit both criteria depending on the selected prime numbers.
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