Contest: Let's Guess Two Words!

I am thinking of two English words that are at least 2 letters long and no more than 15 letters long. Both words are valid in Scrabble according to https://scrabble.merriam.com/. Your goal is to guess them. Everyone who guesses the pair of words correctly by the time the contest is over will be entered for a chance to win a copy of my board game Mammalath (with the Mammalath Plus expansion).

Once per week, each and every single person reading this blog post is allowed to e-mail a set of words to glmathgrant[at]gmail[dot]com. If it is a set of at least 10 words, I will publicly post on this blog (on the following Monday at 12:01 AM Central time) whether NEITHER of my words, ONE of my words, or BOTH of my words are in that set. If it is a set of 9 words or fewer, I will privately give you the same information. If I can't easily verify whether a set of words has at least 10 words in it, I will assume it does, so if you want your information kept private, submit your set of words in the form "{CINQ, QADI, QAID, QATS, QOPH}" rather than "the set of all Scrabble-legal 4-letter words with a Q and not a U".

Once someone has guessed the pair of words (that is, submitted to me a set of exactly two words and gotten a result of BOTH), one last weekly update will be posted on this blog, and then people who haven't guessed the words yet will have one more week to try to do so and be entered in the prize drawing.

To encourage people to make public guesses rather than private guesses (and thereby hopefully finish the contest faster), this contest will also benefit the Food Bank of West Central Texas. The money pool which I will donate to them will start at $45, and then go down $3 for every weekly update that has gone by without someone guessing the pair of words. If the money pool would hit $0, I will instead withdraw the prize drawing (and note to myself for future reference to give you guys more time next time). So even if you aren't interested in the prize drawing, your participation may help someone else solve the words faster and thus help charity!

To kick things off, I'll make three guesses for you:

The set of all words starting with a letter in the word PRIME: NEITHER
The set of all words with a prime number of letters: ONE
The set of all words with a prime number of distinct letters: BOTH

Good luck, and yappy guessing!