Dodecaproths exist!
Check me if I am wrong, but I ran the first 65000 octoproths through my spider routine and turned up the following dodecaproths (3-chain):
44 9604223498415 1 4 5
47 45960089776965 1 4 5
49 374180855930805 1 4 5
44 10872870991605 0 4 4
44 7946515823715 0 4 4
47 69283546229205 0 4 4
49 19000157002995 0 4 4
49 502414540060965 0 4 4
49 555428994253665 0 4 4
45 9604223498415 4 1 5
45 7946515823715 4 0 4
45 10872870991605 4 0 4
48 69283546229205 4 0 4
48 45960089776965 4 0 4
The firs column is n, the second is k, the third is the four types, with n-1, the fourth column is the four types with n+2, and the final column the number of legs on the spider. So we have some 5's but no 6's.
They maybe hope for a 4 chain yet!!!
Regards
Robert Smith
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