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A303092 Balanced primes of order one ending in 1. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

211 = (188 + 211 + 213)/3 = 633/3 and 211 = 21*10 + 1.

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);

PROG

(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);

CROSSREFS

Intersection of A006562 and A030430.

Cf. A303093, A303094, A303095.

Sequence in context: A179595 A137872 A053072 * A086978 A108829 A111480

Adjacent sequences:  A303089 A303090 A303091 * A303093 A303094 A303095

KEYWORD

nonn,base

AUTHOR

Muniru A Asiru, Apr 18 2018

STATUS

approved

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Last modified January 20 05:25 EST 2020. Contains 331067 sequences. (Running on oeis4.)