A number is called bemirp (short for bi-directional emirp) if it yields a different prime when turned upside down with reversals of both being two more different primes.

For example, 168601 produces 106861, 198901 and 109891.

The only digits allowed in a bemirp are 0, 1, 6, 8 and 9.

Every number greater than 40258 can be written as the sum of bemirps.

The first bemirps are 1061, 1091, 1601, 1901, 10061, 10091, 16001, 19001, 106861, 109891, 168601, 198901, 1106881, 1109881 more terms