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Some prime sequences (Posted on 2018-07-04) Difficulty: 3 of 5
What numbers N are the sum of a sequence of consecutive primes such that the product of the first and last numbers in the sequence is N?

No Solution Yet Submitted by Ady TZIDON    
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The sequence | Comment 3 of 11 |
No wonder the computer searches ended at 371.  

OEIS has two related sequences:  Neither is exactly what we seek.  Read later comments to see which number below is the next number in our sequence.
   
A055233 Composite numbers equal to the sum of the primes from their smallest prime factor to their largest prime factor.

10, 39, 155, 371, 2935561623745, 454539357304421

A055514 Composite numbers that are the sum of a string of consecutive prime numbers and are divisible by the first and last primes.

10, 39, 155, 371, 10225245560, 2935561623745, 454539357304421, 7228559051256366318, 1390718713078158117206

Edited on July 6, 2018, 9:32 am
  Posted by Jer on 2018-07-05 10:10:05

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