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Cyclops Prime


A cyclops prime is a cyclops number that is also a prime number. In base 10, its decimal expansion has an odd number of digits and exactly one 0, in the central position. The first few are 101, 103, 107, 109, 307, 401, 409, 503, 509, 601, 607, 701, 709, 809, 907, 11027, ... (OEIS A134809).

The largest cyclops prime with at most 101 decimal digits is

 10^(101)-9·10^(50)-77.

In base 2, the only cyclops prime is 5, whose binary expansion is 101 (Numberphile 2015).


See also

Binary Expansion, Cyclops Number, Prime Number

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References

Numberphile. "Glitch Primes and Cyclops Numbers." Dec. 7, 2015. https://www.youtube.com/watch?v=HPfAnX5blO0.Sloane, N. J. A. Sequence A134809 in "The On-Line Encyclopedia of Integer Sequences."

Cite this as:

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

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