A303094 Balanced primes of order one ending in 7.

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

Offset: 1

Author

Muniru A Asiru, Apr 18 2018

Keywords

• nonn
• base

Examples

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

Crossrefs

Intersection of A006562 and A030432.

Cf. A303092, A303093, A303095.

Programs

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);

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);