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An Ermer number is a five-digit number of the form ermer, where e, r, and m represent distinct digits.
For example: 29129 and 40740 are Ermer numbers, while 60206 and 12345 are not. How many Ermer numbers are even? |
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Follow-up ChallengesHow many Ermer numbers are multiples of 3? What about multiples of 7?
What’s the smallest (or largest) distance between two Ermer numbers? One way to count the even Ermer numbers is to count all of the Ermer numbers and subtract away the odd Ermer numbers. Does this strategy have any advantages or disadvantages compared to counting the even Ermer numbers directly? Daniel's video response divides the counting into two cases, but John's solution does not. Why does Daniel need to to this? Why can John avoid it? Chris's video response mentions two prime Ermer numbers. How might we go about finding all of the Ermer primes in a relatively efficient way? |
Response Videos
Daniel's video response
John's response video
Shelby, Tasha, & Tommy's response video
Chris's thoughts on Ermer primes
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