A099661 a(n) is the least prime following A002281(n) repdigits.
2, 11, 79, 787, 7789, 77783, 777781, 7777801, 77777803, 777777799, 7777777781, 77777777827, 777777777841, 7777777777859, 77777777777837, 777777777777787, 7777777777777867, 77777777777777797, 777777777777777817
Offset: 0
Examples
n=6: 77 is followed by 79.
Programs
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Mathematica
Table[NextPrime[7*(10^n-1)/9], {n, 0, 35}] NextPrime/@LinearRecurrence[{11,-10},{0,7},35] (* Harvey P. Dale, Dec 12 2021 *)