Upper ends of record gaps between numbers that are either prime or twice a prime.

Terms

a(0) =3a(1) =10a(2) =53a(3) =191a(4) =478a(5) =538a(6) =1082a(7) =1277a(8) =1346a(9) =2498a(10) =3299a(11) =5147a(12) =12889a(13) =20849a(14) =28277a(15) =31454a(16) =338098a(17) =520526a(18) =546461a(19) =1050706a(20) =1761289a(21) =1965077a(22) =3467038a(23) =6085103a(24) =27348949a(25) =27915898a(26) =111108917a(27) =113652593a(28) =230126531a(29) =231902434