Violence in the northeast has killed over 40,000 people and displaced around two million from their homes since 2009, according to the United Nations.
The military operations were conducted when the terrorists were organising a meeting in a forest, says a Nigerian military expert.
Chad's transitional government has vowed to more than double the size of its army by the end of 2022 to deal with security challenges, including threats from militants.
"Terror is a reality the world over. However, it does not mean an attack in Abuja is imminent," says President Muhammadu Buhari's office, after several countries warned of potential attacks, panicking Nigerians and forcing Abuja to boost security.
Nigeria urges residents to stay calm and take "necessary precautions," with police ordering a counterterrorism exercise in Abuja, where US and UK warn of possible terror attacks.
The incident took place in a town in the Diffa region close to the Lake Chad basin, a strategic area where the borders of four countries converge - Cameroon, Chad, Niger and Nigeria.
Defence Minister Bashir Magashi says Boko Haram militants "mostly likely" carried out the attack on a prison near capital Abuja and that 64 jailed militants have also escaped.
UN chief Antonio Guterres urged the Nigeria government to create the conditions for millions of displaced people to be able to go back home in safety and dignity.
The measures come as Washington increasingly punishes the military both for the February 2021 coup that ousted Aung San Suu Kyi and violence against the Muslim Rohingya minority.
Militiamen ambushed and killed at least 62 members of a volunteer group that protects villages from gunmen in the country's restive northwestern Kebbi state.
Fatima Adamu turned the country's auto mechanic industry upside down by training women in fixing cars and trucks and helping them enter the male-dominated workforce.
The militants razed part of the village, including a church, and burnt 10 vehicles in the three-hour-long attack in Piyemi village, near Chibok where Boko Haram militants abducted more than 200 schoolgirls eight years ago, residents say.
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