a(n) is the k-th prime, such that abs(prime(k) - Sum_{j=k-2..k+2} prime(j)/5) sets a new record.

Terms

a(0) =5a(1) =7a(2) =19a(3) =47a(4) =97a(5) =109a(6) =113a(7) =199a(8) =887a(9) =1151a(10) =1277a(11) =1327a(12) =9551a(13) =11777a(14) =14143a(15) =15727a(16) =19609a(17) =25471a(18) =31397a(19) =156007a(20) =360653a(21) =370261a(22) =492113a(23) =1357201a(24) =1357333a(25) =1562051a(26) =2010733a(27) =4652507a(28) =17051887a(29) =20831323