A147819 Nearest-neighbors of odd primes.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28, 30, 32, 36, 38, 40, 42, 44, 46, 48, 52, 54, 58, 60, 62, 66, 68, 70, 72, 74, 78, 80, 82, 84, 88, 90, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 126, 128, 130, 132, 136, 138, 140, 148, 150, 152, 156, 158, 162
Offset: 1
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#+{-1,1}&/@Prime[Range[2,60]]//Flatten//Union (* Harvey P. Dale, Jun 13 2017 *)