A303092 Balanced primes of order one ending in 1.
211, 1511, 4691, 7841, 9871, 11411, 11731, 12841, 15161, 17431, 17851, 18341, 18731, 20161, 20201, 20521, 20731, 21661, 21911, 22051, 23801, 25391, 25621, 26041, 31051, 34171, 34631, 35851, 35911, 36821, 40111, 40471, 40961, 44041, 44741, 48661, 50441, 51461
Offset: 1
Examples
211 = (188 + 211 + 213)/3 = 633/3 and 211 = 21*10 + 1.
Programs
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GAP
P:=Filtered([1..52000],IsPrime);; 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);
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Maple
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);