What Are Some Famous Sequences?
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A weird numberis an abundant numberthat is not pseudoperfect(semiperfect). For example, the proper divisorsof 70 (the first weird number) are 1, 2, 5, 7, 10, 14, 35, and these add up to 74, which is 4 more than 70, meaning that 70 is abundant.
Are there infinite number of primitive weird numbers?
It is conjectured that there exist infinitely many primitive weird numbers, and Melfi has shown that the infiniteness of primitive weird numbers is a consequence of Cramér’s conjecture. Primitive weird numbers with as many as 16 prime factors and 14712 digits have been found.
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