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| Prime, anyway (Posted on 2012-06-17) |
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List all primes p below 10000 such that every permutation of p's digits is a prime (e.g. 2, 37, 199).
Any conjectures?
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Submitted by Ady TZIDON
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Rating: 3.0000 (2 votes)
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Solution:
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(Hide)
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Ignoring trivial solutions (single-digit numbers and repunit numbers) and listing only the
lowest sample of all existing permutations there are only 8 numbers :
11, 13, 17, 37, 79, 113, 199, 337.
Conjecture : only 2 or 3-digit numbers qualify. |
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