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Old 2022-02-19, 14:00   #44
Bobby Jacobs
 
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May 2018

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Here are the patterns for the gaps between twin twin...twin primes. The sequence is 2, 6, 30, 420, 2310, 2118270, 338447078970, ...

Code:
2
[0, 2]
6
[0, 2, 6, 8]
30
[0, 2, 6, 8, 30, 32, 36, 38]
420
[0, 2, 6, 8, 30, 32, 36, 38, 420, 422, 426, 428, 450, 452, 456, 458]
2310
[0, 2, 6, 8, 30, 32, 36, 38, 420, 422, 426, 428, 450, 452, 456, 458, 2310, 2312, 2316, 2318, 2340, 2342, 2346, 2348, 2730, 2732, 2736, 2738, 2760, 2762, 2766, 2768]
2118270
[0, 2, 6, 8, 30, 32, 36, 38, 420, 422, 426, 428, 450, 452, 456, 458, 2310, 2312, 2316, 2318, 2340, 2342, 2346, 2348, 2730, 2732, 2736, 2738, 2760, 2762, 2766, 2768, 2118270, 2118272, 2118276, 2118278, 2118300, 2118302, 2118306, 2118308, 2118690, 2118692, 2118696, 2118698, 2118720, 2118722, 2118726, 2118728, 2120580, 2120582, 2120586, 2120588, 2120610, 2120612, 2120616, 2120618, 2121000, 2121002, 2121006, 2121008, 2121030, 2121032, 2121036, 2121038]
338447078970
[0, 2, 6, 8, 30, 32, 36, 38, 420, 422, 426, 428, 450, 452, 456, 458, 2310, 2312, 2316, 2318, 2340, 2342, 2346, 2348, 2730, 2732, 2736, 2738, 2760, 2762, 2766, 2768, 2118270, 2118272, 2118276, 2118278, 2118300, 2118302, 2118306, 2118308, 2118690, 2118692, 2118696, 2118698, 2118720, 2118722, 2118726, 2118728, 2120580, 2120582, 2120586, 2120588, 2120610, 2120612, 2120616, 2120618, 2121000, 2121002, 2121006, 2121008, 2121030, 2121032, 2121036, 2121038, 338447078970, 338447078972, 338447078976, 338447078978, 338447079000, 338447079002, 338447079006, 338447079008, 338447079390, 338447079392, 338447079396, 338447079398, 338447079420, 338447079422, 338447079426, 338447079428, 338447081280, 338447081282, 338447081286, 338447081288, 338447081310, 338447081312, 338447081316, 338447081318, 338447081700, 338447081702, 338447081706, 338447081708, 338447081730, 338447081732, 338447081736, 338447081738, 338449197240, 338449197242, 338449197246, 338449197248, 338449197270, 338449197272, 338449197276, 338449197278, 338449197660, 338449197662, 338449197666, 338449197668, 338449197690, 338449197692, 338449197696, 338449197698, 338449199550, 338449199552, 338449199556, 338449199558, 338449199580, 338449199582, 338449199586, 338449199588, 338449199970, 338449199972, 338449199976, 338449199978, 338449200000, 338449200002, 338449200006, 338449200008]
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