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Mission impossible II (Posted on 2013-08-26) Difficulty: 2 of 5
Find the largest number that cannot be written as a sum of distinct primes of the form 6*n+1.

No Solution Yet Submitted by Ady TZIDON    
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re(2): thoughts clarification | Comment 3 of 7 |
(In reply to re: thoughts clarification by Ady TZIDON)

Well, if the twin-prime conjecture is true, so that indeed there are infinitely members of pairs in which 6n-1 and 6n+1 are prime (since 6n+2 must be even and 6n+3 divisible by 3 and 6n+4 is even), then one can keep adding type 6n+1 primes as addends to keep producing ever higher numbers that are the sum of such numbers.
  Posted by Charlie on 2013-08-26 21:28:26

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