“Stone’s actions were not a one-off mistake in judgment. Nor were his false statements made in the heat of the moment. They were nowhere close to that,” the prosecutors argued. “Stone’s conduct over the past two years shows the low regard in which he holds the House Intelligence Committee’s investigation and this very criminal case.”

In their own memorandum, Mr. Stone’s lawyers argued that the prosecutors had misconstrued harmless messages from Mr. Stone to the witness, a New York radio host named Randy Credico, as genuine threats. They argued that Mr. Stone should be sentenced to less than 15 months in prison for the seven felonies he was found guilty of in November.

The evidence in Mr. Stone’s jury trial showed that in the months before the election, he strove to obtain emails that Russia had stolen from Democratic Party computers and funneled to WikiLeaks. WikiLeaks then released the emails at strategic moments to damage Hillary Clinton, Mr. Trump’s Democratic opponent.

Prosecutors claimed that Mr. Stone used every chance he had to brief the Trump campaign about whatever he picked up about WikiLeaks’ plans. But in September 2017, he told the House Intelligence Committee that he never described to anyone involved in the Trump campaign his conversations with an intermediary to WikiLeaks. To cover up his lies, he urged Mr. Credico to take the Fifth Amendment rather than testify before the committee.

“Stone’s criminal conduct was not an act of desperation. He is a man of substantial means, and he has enjoyed a modicum of fame from his years of being a political adviser and confidant to powerful politicians,” the prosecutors wrote. “His conduct was undertaken purposefully, by someone who knew exactly what he was doing.”