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A303094 Balanced primes of order one ending in 7. 3
157, 257, 607, 947, 977, 1187, 1367, 1747, 1907, 2287, 2417, 2677, 3307, 3637, 4457, 4597, 4657, 5107, 5387, 5807, 6317, 6367, 6977, 8117, 8747, 9397, 10607, 10657, 11497, 11807, 12497, 12547, 12647, 13177, 13457, 14747, 15467, 15767, 15797, 15907, 16097 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..41.

EXAMPLE

157 = (151 + 157 + 163)/3 = 471/3 and 157 = 15*10 + 7.

MAPLE

p:=ithprime: a:=n->`if`(add(p(n-k), k=-1..1)=3*p(n) and modp(p(n), 10) = 7, p(n), NULL): seq(a(n), n=3..2000);

PROG

(GAP) P:=Filtered([1..16200], 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=7);

CROSSREFS

Intersection of A006562 and A030432.

Cf. A303092, A303093, A303095.

Sequence in context: A142367 A216498 A275317 * A001837 A142581 A140625

Adjacent sequences:  A303091 A303092 A303093 * A303095 A303096 A303097

KEYWORD

nonn,base

AUTHOR

Muniru A Asiru, Apr 18 2018

STATUS

approved

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Last modified October 21 14:42 EDT 2021. Contains 348155 sequences. (Running on oeis4.)