Triadic prime number


A triadic prime number (3-way prime or triadic prime) is a prime number, capicua in some numbering system and also symmetrical along the horizontal line in which its digits are written (reason by which its digits can only be 0, 1, 3 and 8 in the decimal base).

C. W. Trigg called them reflectable palindromes.

In the binary system, all capicuous prime numbers are triadic, whereas in major-numbered systems it is not. Example

An example of this type of numbers is: 10...0111013101110...01

where the string 0 ... 0 contains 2509 zeros.

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