Cullen primes

This article page is a stub, please help by expanding it.

Cullen primes are Cullen numbers that are also prime numbers, that is, prime numbers of the form $n2^{n}+1$. The first three Cullen primes are:

3, 393050634124102232869567034555427371542904833, 2677114856136697933736444134296294069473360835877⋱ 44552181568828388032327425196354804332847506238801391629858452305352132890645553224329312224764912⋱ 06679991419561777390501564094984217579233320605963166406312571956233603336431943341180585246485938⋱ 43039167229660942243585399944074965037752374533295192204875441765598270265814764416763543087415875⋱ 05795585619136569772470961526064782189733899514053490746328279906541609597705454835680027626667402⋱ 96927924982262452061080877889587440675413976353261623048330948078784037942386195637068463407228391⋱ 23274026203037112039234882016873977731485542327942966401620403964681628600273783704173791159988737⋱ 69910869374655799394570597204398707760419804499906420162909211106311682286505310810945158032376158⋱ 31828835734416418274844643573202763975262647959902268996191101156036693549963619444632735871778350⋱ 36999103554929836719380259649956100026866321448165342334769969895156786587543447919757410556541225⋱ 63873132566346934185412762403820597319856719756649233968203722068329103533802413544410101359447795⋱ 46348425740777280992022253615904620716612195981354307465799437088327339761507687648980809046315885⋱ 29580861113604324147925539738783131955725203411839841729645869865957668949066417125593814511508032⋱ 77473449328568645818672755450130635948194956659195712877846830281365696877205623099152246442211618⋱ 20329164917020129400456544971859589562268833536148279054435017471303399927541316960495340383853608⋱
97. (A050920)

See A005849 for the corresponding $n$.