A382863 a(2*k-1) and a(2*k) are a pair of prime numbers where 9*a(2*k-1) and 8*a(2*k) are neighboring integers.

17, 19, 47, 53, 79, 89, 97, 109, 113, 127, 223, 251, 239, 269, 241, 271, 337, 379, 353, 397, 383, 431, 433, 487, 463, 521, 607, 683, 673, 757, 719, 809, 863, 971, 881, 991, 1087, 1223, 1153, 1297, 1279, 1439, 1297, 1459, 1327, 1493, 1361, 1531, 1423, 1601

Offset: 1

Author

Steven Lu, Apr 07 2025

Keywords

• nonn
• tabf

Examples

			a(5) = 79 and a(6) = 89 are such a pair, because 79*9=711 and 89*8=712 are neighboring integers.
		

Links

• Steven Lu, Table of n, a(n) for n = 1..10000

Programs

Mathematica

Flatten[{#, FirstCase[{(9 # + 1)/8, (9 # - 1)/8}, _Integer]} & /@ Select[Prime /@ Range[225], PrimeQ[(9 # + 1)/8] || PrimeQ[(9 # - 1)/8] &]]