Thread: Triple Double
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Old 2005-05-23, 22:00   #1
robert44444uk's Avatar
Jun 2003
Oxford, UK

37018 Posts
Default 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

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?


Robert Smith
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