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a(n) is the index k of prime(k), such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)) sets a new record. A337489 are the corresponding primes.
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%I #6 Aug 30 2020 07:13:26

%S 2,4,10,30,99,190,217,1183,1831,2225,2810,3385,14358,30802,31545,

%T 40933,103520,104071,104072,118506,149689,325853,1094421,1094422,

%U 1319945,2850174,2850175,6957876,10539433,10655462,20684332,22749705,23163299,33772762,64955634,64955635

%N a(n) is the index k of prime(k), such that abs(prime(k) - Sum_{j=k-1..k+1} prime(j)) sets a new record. A337489 are the corresponding primes.

%e See A337489.

%o (PARI) See A337489, replace p3 by primepi(p3) in call of print1.

%Y Cf. A337438, A337439, A337489.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Aug 29 2020