What are the recommended supplications after prayer?

The invocations (adhkar) reported from the Prophet, peace and blessings be upon him, after prayer are many, including: seeking forgiveness three times and saying: "O Allah, You are Peace, and from You comes peace. Blessed are You, O Possessor of majesty and honor," and saying: "There is no god but Allah alone, without partner. To Him belongs all sovereignty and all praise, and He is over all things competent. There is no might and no power except with Allah. There is no god but Allah, and we worship none but Him. To Him belongs all blessing, and all grace, and all excellent praise. There is no god but Allah, sincere in devotion to Him, even if the disbelievers detest it," and saying: "There is no god but Allah alone, without partner. To Him belongs all sovereignty and all praise, and He is over all things competent. O Allah, there is none who can withhold what You give, and none who can give what You withhold, and the might of the mighty benefits him not against You," and seeking refuge with: "O Allah, I seek refuge in You from stinginess, and I seek refuge in You from cowardice, and I seek refuge in You from being returned to the most decrepit age, and I seek refuge in You from the trials of this world, and I seek refuge in You from the torment of the grave."

Also among them are reciting Ayat al-Kursī and the surahs Al-Ikhlāṣ, Al-Falaq, and An-Nās, and saying Tasbīḥ (Subhan Allah), Takbīr (Allahu Akbar), and Taḥmīd (Alhamdulillah) ten times after each prayer. Various forms have been reported for Tasbīḥ, Taḥmīd, and Tahlīl (La ilaha illa Allah). It is recommended to acquire Imam An-Nawawi's Kitāb al-Adhkār and Sa'īd Al-Qaḥṭānī's Ḥiṣn al-Muslim.