Showing posts with label twin primes. Show all posts
Showing posts with label twin primes. Show all posts

Monday, 15 June 2015

Day 24179

Today I'm 24179 days old and it's a prime day because 24179 is prime. It forms part of a twin prime pair with 24181. It enjoys 16 entries in the OEIS. One of the entries states that it is a member of a sequence of numbers with the property that it is the first member of a twin prime pair whose sum equals the sums of two consecutive smaller pairs of twin primes. The first member of the sequence A225943 is 17 because 17 + 19 = (5 + 7) + (11 + 13). In the case of 24179, we have 24179 + 24181 = 48360 = (12071 + 12073) + (12107 + 12109). That's the most interesting of the entries. It doesn't take too long to discover the smaller primes. Using WolframAlpha, I just searched for primes between 12000 and 12200 and looked at the sums of the various consecutive twin prime pairs.