Smallest prime with exactly n consecutive ones in the longest run of ones in its binary expansion.

Terms

a(0) =2a(1) =3a(2) =7a(3) =47a(4) =31a(5) =191a(6) =127a(7) =1021a(8) =3583a(9) =4093a(10) =6143a(11) =16381a(12) =8191a(13) =81919a(14) =262139a(15) =1114111a(16) =131071a(17) =786431a(18) =524287a(19) =4194301a(20) =14680063a(21) =16777213a(22) =67108859a(23) =654311423a(24) =671088637a(25) =738197503a(26) =536870909a(27) =5368709117a(28) =3758096383a(29) =34359738337