The Sprouts Conjecture (as defined on page 3 of the AJS report) does
not involve Grundy numbers or misere play.
Sprouts Conjecture: "The first player has a winning strategy in n-spot
Sprouts if and only if n is 3, 4, or 5 module 6."
For instance, the Sprouts Conjecture would still be satisfied even if
11+ equaled *2. The AJS report also defines the
Misere Sprouts Conjecture: "The first player has a winning strategy in
n-spot misere Sprouts if and only if n is 0 or 1 module 5."
Both of these differ from Hudson's conjecture.
In the Sprouts glossary it is written :
"Hudson conjecture - The conjecture that, for n > 9, Left wins in
misere sprouts iff N divided by 6 leaves a remainder of 3, 4, or 5."
So it contradicts the AJS misere Sprouts Conjecture.
The grundy value of Sprouts initial positions is then Peltier's