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Dihedral Prime


A dihedral prime is a prime number n such that the "LED representation" of n (i.e., the arrangement of horizontal and vertical lines seen on a digital clock or pocket calculator), n upside down, n in a mirror, and n upside-down-and-in-a-mirror are all primes. The decimal digits of n are therefore restricted to 0, 1, 2, 5, and 8. The first few dihedral primes are 2, 5, 11, 101, 181, 1181, 1811, 18181, 108881, 110881, 118081, 120121, ... (OEIS A134996).


See also

Tetradic Number

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References

Rivera, C. "Problems & Puzzles: Puzzle 039-The Mirrorable Numbers (by Mike Keith)." https://www.primepuzzles.net/puzzles/puzz_039.htm.Sloane, N. J. A. Sequence A134996 in "The On-Line Encyclopedia of Integer Sequences."

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Dihedral Prime

Cite this as:

Weisstein, Eric W. "Dihedral Prime." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DihedralPrime.html

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