sentences:  The following table shows the largest known AP-"k" with the year of discovery and the number of decimal digits in the ending prime.Note that the largest known AP-"k" may be the end of an AP-("k"+1).Some record setters choose to first compute a large set of primes of form "c"·"p"#+1 with fixed "p", and then search for AP's among the values of "c" that produced a prime.