Thread: Triple Double View Single Post
 2005-05-23, 22:00 #1 robert44444uk     Jun 2003 Oxford, UK 37018 Posts Triple Double For those of you who know basketball, you will be familiar with the concept of the "triple double", that is more than 10 of 3 separate categories of feats within a single game of basketball. (points, rebounds, assists, if I remember correctly) Some k values of the series k*2^n+1 and k*2n-1 will also achieve this, but maybe they are rarer. The feats are: 10 twins, 10 Sophie Germain primes and 10 Cunningham chains length 2 first kind, with longer chains, say Cunningham chains of length 3, counting as two separate chains. In fact "Triple doubles" are proving slightly elusive. After about 4 days of trying the closest I have achieved is k= 20943627705 Which has 9 SGs, 8 CC first kind and 10 twins, checked to n=2000 9+8+10=27 close to my best points score to date of 28 Another close one: k= 92052927781815 With 7, 9 and 9 respectively, also checked to n=2000 My search has been on payam numbers E(27) and I checked quite a lot. Can you do better in this all round category? Regards Robert Smith