Primes of the form 6k - 1 at the end of first-occurrence gaps in A334543.

Terms

a(0) =11a(1) =41a(2) =131a(3) =227a(4) =383a(5) =557a(6) =1151a(7) =1787a(8) =4337a(9) =6449a(10) =7433a(11) =8363a(12) =9137a(13) =12893a(14) =35729a(15) =37781a(16) =58889a(17) =59879a(18) =97787a(19) =105863a(20) =130769a(21) =148667a(22) =153887a(23) =180959a(24) =220151a(25) =328271a(26) =402761a(27) =407153a(28) =416849a(29) =542441