A204812 Primes followed by a gap of 128 = nextprime(p)-p.
3851459, 9810653, 11296673, 13346903, 16771481, 22176953, 24149813, 29788571, 34690163, 36617279, 37360493, 37757639, 38606339, 38952479, 42560519, 43408283, 43799813, 45763649, 46994951, 48522209, 49222211, 51071483, 51274253, 52154309
Offset: 1
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Programs
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PARI
list_gaps(g=128,f,N=100,p=0)=for(c=1,N,while(g+p!=p=nextprime(p+1),);if(f,write(f".txt",c" ",p-g),print1(", "p-g)))