A Digit Complementary Prime Pair is defined as a pair of prime numbers in which digits in corresponding positions sum to 0 mod 10, e.g. (4721, 6389).
Out of the 136 existing four digit pairs find at least one pair for each of the following requirements (a to f):
a. a reversible prime pair
b. the two primes contain 8 different digits
c. twin primes
d. both primes contain a permutation of 4 consecutive digits
e. first member of the pair contains the 4 prime digits in order
f. each prime contains 3 digits the same

Source: Charles W. Trigg, JRM 22:2, 1990, p 95-97

Bonus: Find a 50 digit DCPP, satisfying a).

(In reply to Bonus by broll)

How does one find such a number?

Posted by Charlie on 2012-06-23 10:22:59