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Check this sequence (Posted on 2020-08-24) Difficulty: 2 of 5
6,10,14,15,21,22, inf

This sequence consists of products of two distinct primes.

1. What is the 1st appearance of 3 successive numbers?
2. How many triplets like n, n+1, n+2 are there below 2000?
3. Prove that 4 numbers in a succession cannot appear in this sequence.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Solutionparts 1 & 2 - computer solutionCharlie2020-08-24 20:07:33
Some ThoughtsPart 3 proof (spoiler)Steve Herman2020-08-24 10:04:57
Some ThoughtsPart 3 proof (spoiler)Steve Herman2020-08-24 10:04:55
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