A126722 Primes p such that q-p = 80, where q is the next prime after p.
542603, 618719, 815729, 1013063, 1052333, 1060781, 1082801, 1102583, 1122287, 1146581, 1195589, 1223777, 1243013, 1251329, 1298387, 1352669, 1401857, 1471937, 1496837, 1562753, 1593947, 1729961, 1829309, 1832711, 1987709
Offset: 1
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Select[Partition[Prime[Range[150000]],2,1],#[[2]]-#[[1]]==80&][[All,1]] (* Harvey P. Dale, Dec 21 2018 *)