Trump's response came the day after Carter said he would not have won the election had Russia not interefered in it.
Former President Jimmy Carter said Trump was worried that "China is getting ahead of us," and he suggested the president was right to be concerned.
Barack Obama, Jimmy Carter, George W. Bush and Bill Clinton have all distanced themselves from Trump's border wall claims.
Carter asked Brian Kemp to step down from his role overseeing an election in which he is a candidate.
Brian Kemp has denied the allegations of voter suppression as he runs to become governor of Georgia.
Trump specifically noted the cultural contributions of such musical heavyweights as Etta James, Whitney Houston, Miles Davis, Duke Ellington and Nat King Cole.
"I think it would be a worthy and a momentous accomplishment that no previous president has been able to realize," Carter said.
He also took a lighthearted swipe at President Donald Trump, who gave the commencement address at Liberty University last year.
Aijalon Mahli Gomes wrote a book about his harrowing experience as a detainee in North Korea.
The former president agrees with Trump on media harshness and the NFL protests, as he puts himself forward to work with the White House.
Carter traveled to Pyongyang in June 1994 when Clinton and then-leader Kim Il Sung were in a standoff over the North's nuclear ambitions.
The president benefited from a breakthrough drug. New cancer drugs cost $200,000 for each additional year of life.
For 37 years, the U.S. knew—and kept secret—that the Chilean leader gave the order to murder Orlando Letelier.
Jimmy Carter's reputation is being rehabilitated. But he did make one gargantuan mistake.
The president you'd least like to have a beer with freed the economy—including breweries.
Cancer experts expressed hope after learning that former President Jimmy Carter's melanoma would be treated with Merck & Co's Keytruda drug.