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a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum.
6

%I #13 Apr 28 2019 10:53:16

%S 2,523,22193,1442173,5521819,354963229,881160173,881160173,

%T 441586802467,3085029222449

%N a(n) is the smallest prime that is the first of n consecutive primes with equal digit sum.

%C a(11) > 10^14. - _Giovanni Resta_, Aug 15 2013

%e a(3) = 22193, since 22193,22229,22247 are three consecutive primes with digit sum 17 and this is the first occurrence of three consecutive primes with equal digit sum.

%Y Cf. A006567, A070905, A071614.

%K base,more,nonn

%O 1,1

%A _Klaus Brockhaus_, May 27 2002

%E a(7)-a(9) from _Donovan Johnson_, Dec 02 2009

%E a(10) from _Giovanni Resta_, Aug 14 2013