EXCLUSIVE UPDATE: Sting and the cast of “The Last Ship” are booked onto the Tonight Show with Jimmy Fallon for October 16th.

A few people I know had the same idea last and hied themselves over to the Neil Simon Theater on West 52nd St. to see a preview of Sting and Joe Mantello’s “The Last Ship.” The show, which got raves in Chicago over the summer, started performances last week with a circle around October 26th for its big opening. So funny to spot the other skulkers who came to see whether rumors of the show’s seaworthiness were true.

They are indeed. “The Last Ship” is even in much better shape than when I saw it in Chicago. Writer John Logan (whom I spotted darting about with a clipboard) has significantly changed the show’s opening, beefed up the back story and entry of the main character, Gideon, sung by the stunning Michael Esper.

Here and there Sting, director Mantello, Logan, et al have made the right kind of tweaks. Sadly they dropped one song, “And Yet.” But they added and re-orchestrated a Sting hit from the 90s called “All this Time.” It establishes Esper’s character and gives the Sting fans in house a familiar tune before he takes them on a musical journey of new, deliciously composed eminently singable new songs. Some of them are included in the album Sting released last year, including the title number, as well as ferociously catchy “What Have We Got” and the gorgeous “The Night the Pugilist Learned How to Dance.” The show’s perhaps signature ballad, “What Say You, Meg?”, added in Chicago, is better than ever.

“The Last Ship” is inspired by Sting’s childhood in Newcastle, northern England, as the shipbuilding business was on the wane. We’ve heard Elvis Costello sing about this subject in Robert Wyatt’s “Shipbuilding,” and Sting has covered some of this in his album “The Soul Cages.”

But this show is a piece of art unto itself, a real, live proper Broadway musical with Tony Awards in its sights. All the performers have terrific voices. The movements are directed by Steven Hoggett of “Once” fame. “The Last Ship” is vibrant and serious, and still very funny. Get back from intermission on time or risk missing “Mrs. Dees’ Rant” led by Shawna Hamic. Hilarious.

All the main cast of star crossed young people — Esper, Rachel Tucker, Aaron Lazar plus young Collin Kelley Sordelet– are outstanding. But I have my personal favorites– Jimmy Nail, so authentic as Jackie, the leader of the shipyard; Fred Applegate. the comic center of the show (and a future Tony nominee) and Sally Ann Triplett.

“The Last Ship” will keep changing slightly as it tightens up for October 26th. But the nearly sold out audience loved it– I mean loved it. I’m there are some discount tickets on sale before opening night. After that, who knows, because “The Last Ship” looks like it’s going to be “on sail” for a long time to come.

Alex Sharp is from Devon, England and had no theater training until he was accepted into Juilliard’s acting program. Last March the 25 year old auditioned for and was cast in Simon Stephens’s “The Curious Incident of the Dog in the Night-time” before he even graduated. Last night he became an overnight star. (PS His girlfriend, also, from his Juilliard class, is Wallis Currie- Wood, currently playing Tea Leoni’s daughter on “Madame Secretary.”)

Sharp is just stunning in the American production of Marianne Elliott’s directed hit from the West End. He plays 15 year old Christoper Boone, a math whiz with high function Asperger’s and maybe some autism as well. Based on Mark Haddon’s novel, “Curious Incident” follows Christopher’s unique saga as he navigates his parents’ marital problems and his own coming into the world. The story is enhanced by Elliott’s sensational presentation (she co-directed “War Horse”) and the astounding set. There is also quite a bit of movement and choreography, courtesy of the ubiquitous Steven Hoggett and Scott Graham.

What the whole company manages to convey is Christopher’s inner world, as crowds and flashing lights converge to overwhelm him. He seeks safety in numbers, and in the second act the plot is set: despite many obstacles, he wants to jump ahead and take math tests for 18 year olds. That will put him on the fast track to becoming a star prodigy scientist.

Last night’s cheering audience included Tyne Daly, playwright John Guare, Kim Cattrall, and several cast members of “Madam Secretary.” Young Alex Sharp had five friends from Devon to cheer him on. Now he will have six months to prepare for Tony Award buzz and the dizzying business of being very much in demand.  One day “Curious Incident” will become a movie, which is too bad since it really is a theatrical experience. Congrats to Stuart Thompson, the National Theater of London, and Warner Theatrical for pulling it off.

See you next June!