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Old 2019-03-30, 08:49   #1
enzocreti
 
Mar 2018

32·59 Posts
Default BASE 10 BASE 16

2, 3, 9, 11, 87, 233, 477, 507, 785, 2313, 8967=j


these are the values I found with Pari


I explain with examples:


2^11-1=2047. If I enter 2047 in a base converter calculator from base 16 to base 10 I have a prime number=8263.


The same with 2^9-1=511 wreitten under base 16 to base 10 =1297 which is a prime


and the same with all other j's.


Do you think that the number of these j's is not infinite? And looking at the values of j which are primes: 2,3,11,233 I noticed that

2,3,11,233 are Chen prime, Sophie Germain Primes and they are prime p such that 6*p+1 is also prime.
Just coincidence?

Last fiddled with by enzocreti on 2019-03-30 at 08:50
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