A303095 Balanced primes of order one ending in 9.

4409, 11299, 16619, 19739, 19949, 22259, 28069, 29269, 29599, 30059, 30449, 32479, 35129, 36229, 41479, 42209, 43189, 44519, 46889, 47869, 48259, 49069, 52529, 53939, 56149, 57119, 58129, 58979, 60509, 63559, 66809, 67169, 67619, 68099, 68699, 74489, 76579

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Example

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

Maple

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);

Prog

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

Crossrefs

Intersection of A006562 and A030433.

Cf. A303092, A303093, A303094.

Sequence in context: A045013 A224687 A050664 * A039818 A116342 A035784

Adjacent sequences: A303092 A303093 A303094 * A303096 A303097 A303098

Keyword

nonn,base

Author

Muniru A Asiru, Apr 18 2018

Status

approved