Okay so this is taken from the Three Card Blind discord server from an acquaintance of mine, Quag.
Itβs Aliceβs turn and she controls Zimone and has a Fling, an Awaken the Woods, and a fragmentize in hand. She controls 2 Forests (green mana), a Plains (white mana), a mountain (red mana), as well as two lands that are here because they can be sacrificed.
Both Alice and Bob have infinite mana colorless mana made via an artifact that can untap itself for more mana.
Bob has 10 life and controls a Wasteland and two Forests. He has a Nourishing Shoal in hand. He also controls a Battle of Wits and has 250 cards in his library.
To win before Bob does next turn, Alice needs to create a large creature token with Zimone by casting Awaken the Woods, and at end step Fling the token. However, Bob with his infinite mana can cast an arbitrarily large Nourishing Shoal, gaining 10^100 life for example. Alice will try to Fragmentize the Monolith that Bob controls. In response he will generate the mana to cast the giant Shoal and he has to pick a number.
Then, Alice can cast Awaken the Woods to make her land count a prime number that is bigger than 10^100 so that at end of turn, she can Fling the Primo token at Bobβs face. However, once the trigger goes on the stack to make the token, Bob can Wasteland any of Aliceβs non basic lands to make her total land count a composite number, making no token.
But, Alice has a trick! She can sacrifice one of her own Havenwood Battle grounds to make her number of lands 2 less in combination with a wasteland. This would allow her to still have a prime number if she chose the larger of a pair of twin primes as her target land count.
The question is this: Can Alice always make a number of lands bigger than any other number so that if Bob destroys one of her lands, she can sacrifice another, remaining at a prime number, and making the token to Fling for the win?
(So: are there infinite twin primes?)
