Am I crazy, or should we not expect to have a few tens of septuplets already? Perhaps I'm mis-thinking the math -- 1/ln(2^1700) ~= 1/1200 chance of a sextuplet being a septuplet?
You're right, but looking at the admissible patterns for sextuplets vs septuplets:
0 4 6 10 12 16
vs
0 2 6 8 12 18 20
0 2 8 12 14 18 20
it doesn't fit...looks like we're screwed... we won't have septuplets with minimal distance (p ... p+20)
I didn't verify this, but the source is Anthony Forbes
same thing with octuplets:
0 2 6 8 12 18 20 26
0 2 6 12 14 20 24 26
0 6 8 14 18 20 24 26