Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #12 May 26 2018 22:21:54
%S 211,1511,4691,7841,9871,11411,11731,12841,15161,17431,17851,18341,
%T 18731,20161,20201,20521,20731,21661,21911,22051,23801,25391,25621,
%U 26041,31051,34171,34631,35851,35911,36821,40111,40471,40961,44041,44741,48661,50441,51461
%N Balanced primes of order one ending in 1.
%e 211 = (188 + 211 + 213)/3 = 633/3 and 211 = 21*10 + 1.
%p p:=ithprime: a:=n->`if`(add(p(n-k),k=-1..1)=3*p(n) and modp(p(n), 10) = 1,p(n),NULL): seq(a(n),n=3..6000);
%o (GAP) P:=Filtered([1..52000],IsPrime);;
%o a:=Filtered(List(Filtered(List([0..Length(P)-3],k->List([1..3],j->P[j+k])),i->Sum(i)/3=i[2]),m->m[2]),l-> l mod 10=1);
%Y Intersection of A006562 and A030430.
%Y Cf. A303093, A303094, A303095.
%K nonn,base
%O 1,1
%A _Muniru A Asiru_, Apr 18 2018