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Beginning with 5, primes of the form: least multiple of the previous term followed by a 3. Beginning with 5, a(n) is the least prime of the form k*a(n-1)*10 +3.
3

%I #10 Nov 15 2021 10:40:49

%S 5,53,1063,74413,5208913,364623913,3646239133,474011087293,

%T 90062106585673,11708073856137493,819565169929624513,

%U 8195651699296245133,1065434720908511867293,42617388836340474691723

%N Beginning with 5, primes of the form: least multiple of the previous term followed by a 3. Beginning with 5, a(n) is the least prime of the form k*a(n-1)*10 +3.

%H Harvey P. Dale, <a href="/A113068/b113068.txt">Table of n, a(n) for n = 1..100</a>

%t lm3[n_]:=Module[{k=1},While[!PrimeQ[10k*n+3],k++];10k*n+3]; NestList[ lm3,5,20] (* _Harvey P. Dale_, May 05 2019 *)

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Jan 03 2006

%E More terms from _Joshua Zucker_, Jan 11 2006