FILE - In this Feb. 13, 2018, file photo, bins of signs are seen in a storage are at the Bexar County Election offices in San Antonio. Texas kicks off primary season this ahead of the 2018 midterm election, with implications for Democrats and Republicans alike in an election year that could alter the direction of Congress and statehouses around the country for the final two years of President Donald Trump’s current term. (AP Photo/Eric Gay, File)

FILE - In this Feb. 13, 2018, file photo, bins of signs are seen in a storage are at the Bexar County Election offices in San Antonio. Texas kicks off primary season this ahead of the 2018 midterm election, with implications for Democrats and Republicans alike in an election year that could alter the direction of Congress and statehouses around the country for the final two years of President Donald Trump’s current term. (AP Photo/Eric Gay, File)

AUSTIN, Texas (AP) — Texas is the latest place where Democrats are finding optimism for 2018 after kicking off the nation’s primary election season with their biggest midterm turnout in more than a quarter-century.

But beneath the eye-opening numbers — more than 1 million votes cast for Democrats on Tuesday night, their strongest showing in a Texas midterm primary since 1994 — lurk buzzkills for a party eager to believe that the GOP will pay in November for the erratic presidency of Donald Trump.

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Republicans still won the turnout battle in Texas by a half-million votes. The brightest star on the ballot for Democrats, Senate challenger Beto O’Rourke, revealed weak spots after letting two primary rivals take 38 percent of the vote. And he’s the biggest draw on a Democratic ballot that is otherwise littered with little-known candidates for statewide office who’ve struggled to raise attention and money.

“When you net the results, there are hundreds of thousands more voting in the Republican primary than the Democratic primary, so we absolutely have our work cut out for us,” O’Rourke said by phone Wednesday. “This is an uphill, very tough fight for the next eight months.”

About failing to win such a high percentage of the vote against overmatched rivals, O’Rourke noted that he has focused on campaigning all over Texas, including strongholds for those who cast ballots in the Republican primary.

“We could concentrate in blue parts of Texas and really run up the score in the primary,” he said. “Or we could walk the walk. Talk to every Texan in every part of the state.”

Since Trump took office last year, Democrats have seized on surprises on Republican turf as signs that a midterm reckoning is afoot — winning a U.S. Senate seat in Alabama, wiping out a GOP majority in the Virginia statehouse, flipping a Wisconsin state senate district that overwhelmingly backed Trump a year earlier. In Texas, where Republicans haven’t lost a statewide race since 1994, Democrats are especially starved for an upset.

Tuesday’s primary made clear Democratic enthusiasm is real, but in Texas, the party still faces long odds.

“The votes have been counted and we know that so-called ‘blue wave’ never made landfall,” Republican Lt. Gov. Dan Patrick said Wednesday, referring to the GOP voters still turning out in greater numbers. Patrick himself sailed past a little-known GOP primary challenger and is expected to have an even easier time against only token Democratic opposition in November.

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More than 1.5 million people voted Tuesday in the GOP primary for U.S. Senate, won by incumbent Ted Cruz. The turnout for Republicans was mostly in line with primary midterms in 2014 and 2010. Democrats, meanwhile, nearly doubled their numbers from four years ago behind big increases around Dallas and Houston, but the GOP still had the upper hand in rural and suburban counties.

Texas has a record eight open congressional races this year, including two currently held by entrenched Republicans who opted against re-election amid scandal. Republican pollster Chris Wilson, who has worked for Cruz, said the turnout surge to him reflected the number of open races while Democrats pinned the increase on Trump backlash and enthusiasm.

In Republican U.S. Rep. John Culberson’s district in Houston, which Hillary Clinton carried in 2016, Democratic primary turnout was roughly five times higher than the last midterms. A big Democratic surge also took place in the district of Republican U.S. Rep. Pete Sessions, which Clinton also carried and is among the races where Democrats think they can compete. In a third GOP-controlled district targeted by Democrats in San Antonio, Republican had the lower turnout.

Nationwide, Democrats need to flip 24 GOP-seats to reclaim a majority this fall.

“It’s clear Texas Democrats are fired up, exceeding expectations, and charging forward to November,” Texas Democratic Party chairman Gilberto Hinojosa said.

A big problem for Texas Democrats is that their biggest-name politicians opted not to run in statewide races. So Republican Gov. Greg Abbott will face either Lupe Valdez, who was Texas’ first Hispanic, lesbian sheriff, or Andrew White, who opposes abortion and whose father, Mark, was governor in the 1980s. Valdez and White will need a May 22 runoff to decide who wins their party’s nomination — but either will be prohibitive underdogs against well-funded and popular Abbott.

The Texas primary did put on display the surge in women running for office to resist Trump. Of the nearly 50 women running for Congress in Texas, more than half won their primaries outright or advanced to runoffs. What’s more, at least three of those runoffs in May will feature women going head-to-head, including a key race for Democrats in their bid to take control of the U.S. House this fall.

Trump won Texas by 9 points in 2016, the smallest margin of victory by a Republican presidential candidate in Texas in 20 years.

“It’s Trump. It’s Trump,” said Veronica Escobar, who won her Democratic primary and is now poised to become one of the first Hispanic women to represent Texas in Congress.

“I’ve spoken to innumerable senior citizens, retirees, parents of disabled children, people who understand what this administration means to their families. And they’re afraid.”

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Follow Will Weissert on Twitter at https://twitter.com/apwillweissert and follow Paul J. Weber on Twitter at https://twitter.com/pauljweber .