primegaps = {First[#], Last[#]} & /@ {{1, 2}, {2, 3}, {4, 7}, {6, 23}, {8, 89}, {14, 113}, {18, 523}, {20, 887}, {22, 1129}, {34, 1327}, {36, 9551}, {44, 15683}, {52, 19609}, {72, 31397}, {86, 155921}, {96, 360653}, {112, 370261}, {114, 492113}, {118, 1349533}, {132, 1357201}, {148, 2010733}, {154, 4652353}, {180, 17051707}, {210, 20831323}, {220, 47326693}, {222, 122164747}, {234, 189695659}, {248, 191912783}, {250, 387096133}, {282, 436273009}, {288, 1294268491}, {292, 1453168141}, {320, 2300942549}, {336, 3842610773}, {354, 4302407359}, {382, 10726904659}, {384, 20678048297}, {394, 22367084959}, {456, 25056082087}, {464, 42652618343}, {468, 127976334671}, {474, 182226896239}, {486, 241160624143}, {490, 297501075799}, {500, 303371455241}, {514, 304599508537}, {516, 416608695821}, {532, 461690510011}, {534, 614487453523}, {540, 738832927927}, {582, 1346294310749}, {588, 1408695493609}, {602, 1968188556461}, {652, 2614941710599}, {674, 7177162611713}, {716, 13829048559701}, {766, 19581334192423}, {778, 42842283925351}, {804, 90874329411493}, {806, 171231342420521}, {906, 218209405436543}, {916, 1189459969825483}, {924, 1686994940955803}, {1132, 1693182318746371}, {1184, 43841547845541059}, {1198, 55350776431903243}, {1220, 80873624627234849}};
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