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.