A089779 Let n range through the odd numbers skipping multiples of 5; a(n) = n-th prime ending in n.
11, 23, 107, 179, 2411, 3413, 5417, 4919, 6121, 5923, 9127, 8629, 9931, 10133, 10937, 11939, 14741, 14243, 16747, 16649, 16451, 18553, 19157, 19259, 22961, 22963, 24767, 25169, 28571, 24373, 28277, 31079, 30181, 29483, 31687, 33589, 33091
Offset: 1
Examples
2411 is the 11th prime ending in 11: (11, 211, ..., 2111, 2311, 2411)
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Programs
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Maple
f:= proc(n) local d,k,count; d:= 10^(ilog10(n)+1); count:= 0; for k from 0 while count < n do if isprime(k*d+n) then count:= count+1 fi od; (k-1)*d+n end proc: seq(seq(f(10*i+j),j=[1,3,7,9]),i=0..10); # Robert Israel, Dec 10 2017
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Mathematica
NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; f[n_] := Block[{p = 2, c = 0, m = Floor[ Log[10, n] + 1]}, While[ If[ Mod[p, 10^m] == n, c++ ]; c < n, p = NextPrim[p]]; p]; Map[f, Select[ Table[n, {n, 1, 91, 2}], Mod[ #, 10] != 5 &]] (* Robert G. Wilson v, Nov 26 2003 *)
Extensions
Extended by Robert G. Wilson v, Nov 26 2003