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A303095 Balanced primes of order one ending in 9. 3

%I

%S 4409,11299,16619,19739,19949,22259,28069,29269,29599,30059,30449,

%T 32479,35129,36229,41479,42209,43189,44519,46889,47869,48259,49069,

%U 52529,53939,56149,57119,58129,58979,60509,63559,66809,67169,67619,68099,68699,74489,76579

%N Balanced primes of order one ending in 9.

%e 4409 = (4397 + 4409 + 4421)/3 = 13227/3 and 4409 = 440*10 + 9.

%p p:=ithprime: a:=n->`if`(add(p(n-k),k=-1..1)=3*p(n) and modp(p(n), 10) = 9,p(n),NULL): seq(a(n),n=3..8000);

%o (GAP) P:=Filtered([1..78000],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=9);

%Y Intersection of A006562 and A030433.

%Y Cf. A303092, A303093, A303094.

%K nonn,base

%O 1,1

%A _Muniru A Asiru_, Apr 18 2018

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Last modified October 21 19:16 EDT 2021. Contains 348155 sequences. (Running on oeis4.)