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What is the largest number of distinct positive integers you can have such that most of their pairwise differences are prime?

For example, among (2, 4, 6, 11, 13, 15) there are 15 pairwise differences, of which 10 are prime.

(No Solution Yet, 1 Comments) Submitted on 2024-04-26 by K Sengupta   
Difficulty: 2 of 5 Bonus: Progressive Pattern Poser (in Sequences) Rating: 3.00
All the terms of an arithmetic progression having the first term as 2 with common difference 4 and the last term as 2010, are written successively without commas or spaces, resulting in the following pattern:

2610141822263034384246.........20062010

Determine the sum of all the digits in the above pattern.

(Solution Posted, 2 Comments) Submitted on 2010-03-25 by K Sengupta   
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