Now as far as I can tell, the sequence they give us is 3 x 4-digit long numbers. Each number is prime. Each number is separated by the next by 3330. And each one is a permutation of the first term. They want the only other 4 digit prime sequence just like this. Now my problem is I found more then that.The arithmetic sequence, 1487, 4817, 8147, in which each of the terms increases by 3330, is unusual in two ways: (i) each of the three terms are prime, and, (ii) each of the 4-digit numbers are permutations of one another.
There are no arithmetic sequences made up of three 1-, 2-, or 3-digit primes, exhibiting this property, but there is one other 4-digit increasing sequence.
What 12-digit number do you form by concatenating the three terms in this sequence?
Thank you,