Let p be a prime with n digits and let A be a constant. Call p an "A-prime" if the concatenation of the first n digits of A (ignoring the decimal point if one is present) give p. Constant primes are therefore a special type of integer sequence primes, with e-primes, pi-primes, and phi-primes being perhaps the most prominent examples. The following table summarizes the indices of known constant primes for some named mathematical constants.

consecutive number sequences | constant digit scanning | e-prime | integer sequence primes | phi-prime | pi-prime | prime constant