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I'm wondering, is there a name for a prime number where all digits are also prime?

Some examples: 37, 53, 3253, 5573, 23753.

I've been calling them 'double primes', but I doubt that's the correct term (if there is any).

  • 5
    They aren't interesting enough to deserve a name.2012-05-05
  • 5
    [They don't have a name, but they're one of the Smarandache sequences...](http://oeis.org/A019546)2012-05-05
  • 7
    Uhm -- choosing a decimal representation is a rather arbitrary choice, which makes me think that this is not a very interesting property.2012-05-05
  • 2
    Here's [a link about them](http://mathworld.wolfram.com/news/2002-04-09/primeprimes/) at MathWorld, but no specific name for them.2012-05-05
  • 3
    Why not call them "prime numbers with only prime digits"?2012-05-05
  • 1
    Could call them "the 2357 primes"2012-05-05
  • 2
    Thanks for the MathWorld link. It explains why they don't have a name, since they are only "of interest to recreational mathematicians". I'm not a mathematician, so I find them interesting mainly for their "aesthetical" and "conceptual" appeal. :) Although, for "aesthetics", also including digits 0 and 1 makes more interesting numbers, I think.2012-05-05
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    let's call them oddacious primes2014-02-11

2 Answers 2

1

From GEdgar so we have an answer:

Why not call them "prime numbers with only prime digits"?

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Chris Caldwell in his Prime Pages calls them "prime-digit primes."