So you have a sequence that may or may not be the numbers you show. You want a formula. Heard of graphs? You have an even number so they are not (all) primes. Even the simplest analysis of this sequence:
8168300941723 0
8203756951684 35456009961
8304283191943 100526240259
8541534872809 237251680866
8746833361583 205298488774
yields important information. ie it is not a linear sequence, nor is it a pure geometric progression. As you can see it increases by 3.5e10 1.0e11 2.3e11 BUT then only 2.0e11.
