212, 213
You multiply the last number by 4 and then add 1.
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212 plus 1, times 4
They will turn 53 in 2017, but as of this date, they are still 52.
-52 + (-53) = -105
It is possible to produce a formula so that any number of your choice could be the next number. Using Occam's razor though, the simplest answer is 54.
The two consecutive integers that have a sum of -105 are -53 and -52.