A man sent 167 Facebook messages to a woman in one day - then 150 on another day.
Macauley Stolp's internet activity also included messages on other dates over a one-month spell, city magistrates heard.
It added up to a 12-week prison term for Stolp. He admitted harassment by sending numerous texts between January 16 and February 15.
Sanjay Jerath, prosecuting, said Stolp threatened to come to the woman's house and told her to make sure children were not present.
"He called her persistently for a prolonged period," added Mr Jerath.
Ian Carter, mitigating, said: "This is a man who did not go near her. They are just threats."
A government surcharge of £122 and £85 prosecution costs must be paid by Stolp, 23, of Cherry Holt, Newark.
Magistrates imposed a restraining order which bars him from contacting the woman again.
