[seqfan] The concatenation of 3 odd sequential primes that is also a prime.

DAN_CYN_J dan_cyn_j at comcast.net
Thu Jul 25 06:30:31 CEST 2013



Hi all seqfans, 


I show only 30 terms here but have generated 1000 terms total. 

  

The 1000th term being --- 106661106663106669 which is 3 concatenated 
6 digit sequential primes which is also a prime. 

  

The first term is prime 5711 which contains the 3rd 4th and 5th prime 
concatenated which is also prime. 


The next prime is 111317 the 5th 6th and 7th prime concatenated which 
is also prime. 

  

And so on. 

  

Here are just the first 30 primes each made up of 3 sequential concatenated primes. 
  
5711,111317,171923,313741,414347,8997101,229233239,239241251,263269271,307311313,313317331,317331337,353359367,359367373,383389397,389397401,401409419,409419421,439443449,449457461,563569571,619631641,701709719,761769773,773787797,787797809,797809811,827829839,907911919,929937941 

  

Many odd primes are missing in this concatenation such as 3,29,53,59,61,67,71,73,79,83,103... 


  

These  prime when concatenated as the first or middle 
or the end prime in the sequential concatenation will not 

create a prime but a composite. 

  

Some of the primes can have up too 2 concatenated sequential primes 

from the previous prime such as ----- 313317331,317331337 of the two 

primes made up of 3 sets each of concatenated sequential primes. 

This an exception and many instances large gaps between the sequential 

primes are not used because no primes can be formed from these 

single primes and their one or two neighbor's. 

  

These concatenated primes in this sequence will probably   ---->oo. 

  

Dan 

  

  

  


 



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