If North Korea's foreign minister hoped to draw a response from U.S. President Donald Trump with his Saturday speech to the U.N. General Assembly, he succeeded.

"Just heard Foreign Minister of North Korea speak at U.N.," the president tweeted late Saturday. "If he echoes thoughts of Little Rocket Man, they won't be around much longer!"

The president was referring to Ri Yong Ho, who on Saturday called Trump "a mentally deranged person full of megalomania," and promised that a strike on the U.S. mainland was "inevitable."

"Little Rocket Man" was Trump's now-infamous label for North Korean leader Kim Jong Un.

With his tweet, Trump seemed to reiterate a previous asserton that any strike by North Korea against the U.S. or its allies would be met with an overwhelming response.

The address by Ri in New York City began as the Pentagon announced it had flown bombers and fighter escorts to the farthest point north of the Korean Demilitarized Zone by any such American aircraft this century.

"This mission is a demonstration of U.S. resolve and a clear message that the president has many military options to defeat any threat," Defense Department spokesman Dana White said in a statement.



"North Korea's weapons program is a grave threat to the Asia-Pacific region and the entire international community. We are prepared to use the full range of military capabilities to defend the U.S. homeland and our allies," White said.



The Pentagon said B-1B bombers from Guam, along with F-15C Eagle fighter escorts from Okinawa, Japan, flew in international airspace over waters east of North Korea on Saturday. Unlike on previous so-called "show of force" missions, the U.S. aircraft were not accompanied by South Korean or Japanese planes.

"While conducted unilaterally, this mission was coordinated with regional allies - namely the Republic of Korea and Japan - and was a strong testament to our ironclad alliance," U.S. Pacific Command spokesman Cmdr. Dave Benham told Fox News, using the official name for South Korea.



B-1 bombers are no longer part of the U.S. nuclear force, but they are capable of dropping large numbers of conventional bombs.



U.S. Pacific Command would not be more specific about many years it had been since U.S. bombers and fighters had flown that far north of the DMZ, but Benham noted that this century "encompasses the period North Korea has been testing ballistic missiles and nuclear weapons."



At the United Nations, Ri said that his country's nuclear force is "to all intents and purposes, a war deterrent for putting an end to nuclear threat of the U.S. and for preventing its military invasion, and our ultimate goal is to establish the balance of power with the U.S."



He also said that Trump's depiction of Kim as "Rocket Man" makes "our rocket's visit to the entire U.S. mainland inevitable all the more."



Trump on Friday had renewed his rhetorical offensive against Kim.



"Kim Jong Un of North Korea, who is obviously a madman who doesn't mind starving or killing his people, will be tested like never before!" the president tweeted.



On Thursday, Trump announced more economic sanctions against the impoverished and isolated country, targeting foreign companies that deal with the North.



"North Korea's nuclear weapons and missile development is a grave threat to peace and security in our world and it is unacceptable that others financially support this criminal, rogue regime," Trump said as he joined Japanese Prime Minister Shinzo Abe and South Korean President Moon Jae-in for a meeting in New York.



Hours later, Kim responded by saying Trump was "deranged" and vowed the president would "pay dearly" for threatening to "totally destroy" North Korea if the U.S. was forced to defend itself or its allies against an attack.



In a speech last week at the United Nations, Trump had issued the warning of potential obliteration and mocked the North's young autocrat as a "Rocket Man" on a "suicide mission."



Trump's executive order expanded the Treasury Department's ability to target anyone conducting significant trade in goods, services or technology with North Korea, and to ban them from interacting with the U.S. financial system.



Trump also said China was imposing major banking sanctions, too, but there was no immediate confirmation from the North's most important trading partner.



If enforced, the Chinese action Trump described could severely impede the isolated North's ability to raise money for its missile and nuclear development. China, responsible for about 90 percent of North Korea's trade, serves as the country's conduit to the international banking system.



North Korea has said it intends to build a missile capable of striking all parts of the United States with a nuclear bomb. Trump has said he won't allow it, although the U.S. so far has not used military force to impede the North's progress.

Fox News' Lucas Tomlinson and the Associated Press contributed to this report.