Hollywood studio executives have franchise fever — and they’re hoping moviegoers across the country get the bug.

With several solid gold franchise films set to hit the big screen this summer — including “Jurassic World,” “Minions” and “Terminator Genisys” — cinema soothsayers are projecting the US summertime box office could top $5 billion for the first time.

In addition to having strong franchise films to make a run at the milestone, the studios have the calendar as a friend — the summer season is seven days, or 5.7 percent, longer than last year’s because the first Friday in May, the start of the season, was May 1 this year.

The summertime season runs through Labor Day weekend — making it 129 days long versus 122 days last year, when the summer box office hit $4.1 billion.

This season is off to a rollicking start.

Marvel’s “Avengers: Age of Ultron,” which opened on May 1, had the second-biggest weekend opening ever: $191 million. It had grossed $383.2 million through May 21.

Through May 17, the summertime box office is up 14.2 percent, said Rentrak’s chief movie analyst, Paul Dergarabedian.

“If we hit $5 billion for the first time ever, that would represent a 23 percent increase over last year. However, if we hit $5 billion for the first time, it would represent just a 5.2 percent increase over the record summer of 2013.”

Phil Contrino, vice president and chief analyst at Boxoffice.com, told The Post: “This summer is a good combination of strong franchise movies and movies aimed at women.”

Hollywood is mixing it up with some femme fare including “Spy,” starring Melissa McCarthy; Judd Apatow’s “Train Wreck,” starring Amy Schumer; and “Paper Towns,” from “The Fault in Our Stars” author John Green.

As a result, studios have been altering their spending patterns these past few weeks, spreading their dollars among more gender-neutral shows.

Jason D’Amata of measurement firm iSpot told The Post that since the beginning of May, overall movie spending has ramped up considerably compared with last year.

“The studios are running a lot more ads,” he said. “Last year there were 62 in rotation, and this year there are 109. Warner has 24 spots versus eight last year — while Universal has 18, up from four.”

Warner is behind releases including “Hot Pursuit,” “Mad Max: Fury Road” and “San Andreas.”

Last year, spending was directed at sports programming on cable networks, while this year the broadcast networks are seeing more of the cash spread between sitcoms and music talent shows such as “The Voice” and “Idol.”

Of course, not every release will be a hit.

The Post’s informal survey of Tinseltown insiders found that the “Entourage” movie may struggle for blockbuster status.

While industry analysts see a healthy business, some Wall Street analysts are less bullish.

Doug Creutz with Cowen & Co. summed up his views for investors in an April 27 report: “We remain concerned about studio clustering in the big-budget franchise corner of the film space, particularly given our belief that overall box office is in secular decline.”