Problem 133 Answer

• 1 person $1
• 1 person $7
• 3 people $49
• 3 people $343
• 3 people $2401
• 3 people $16807
• 1 person $117649
• 1 person $823543.

I would like to thank Recreations in the Theory of Numbers by Albert H. Beiler for this problem (#52 on page 300).