Consider the following sequence of primes: 5,7,11,13,17,19. We can split this sequence between 13 and 17 so that 5+7+11+13=17+19. Can we find such sequences of arbitrary large length? Or even sequences that can be split into arbitrary many equal sums? I would think this is quite similar to having arbitrary large arithmic progressions, thus I'd suspect this property for any set whose reciprocals diverge. Any thoughts?
2026-03-28 03:02:24.1774666944
Sets of Consecutive primes that can be split in equal parts
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