The supplication of Abu Bakr al-Siddiq (may Allah be pleased with him)

It is narrated from Sayyiduna Abdullah bin Mas'ud (may Allah be pleased with him) that he said: The Messenger of Allah (peace and blessings be upon him) passed by me while I was praying, and he (peace and blessings be upon him) said: "Ask, and you will be given, O Ibn Umm Abd." Sayyiduna Umar (may Allah be pleased with him) said: Abu Bakr (may Allah be pleased with him) and I rushed to him, but Abu Bakr got there before me. Ibn Mas'ud (may Allah be pleased with him) said: Among my supplications that I never leave is this: 'Allahumma inni as'aluka na'iman la yabid, wa qurrata 'aynin la tanfad, wa murafaqatan-nabiyyi (peace and blessings be upon him) fi a'la jannatil-khuld' (O Allah, I ask You for a blessing that never ends, for a coolness of the eyes that never ceases, and I seek the companionship of the Prophet (peace and blessings be upon him) in the highest ranks of the Garden of Eternity).
This hadith has a sahih (authentic) chain, provided that it is not mursal, but the two Shaykhs (Bukhari and Muslim) did not record it.

It is narrated from Sayyidah Umm Salamah (may Allah be pleased with her) that the Prophet (peace and blessings be upon him) used to say these words as a supplication: 'Allahumma antal-awwalu la shay'a qablak, wa antal-akhiru fala shay'a ba'dak, a'udhu bika min sharri dabbatin nasiyatuha biyadik, wa a'udhu bika minal-ithmi wal-kasal, wa min 'adhabil-qabr, wa min fitnatil-ghina, wa min fitnatil-faqr, wa a'udhu bika minal-ma'thami wal-maghram. Allahumma naqqi qalbi minal-khataya kama naqqaytath-thawbal-abyada minad-danas. Allahumma ba''id bayni wa bayna khati'ati kama ba''adta baynal-mashriqi wal-maghrib' (O Allah, You are the First, there is nothing before You, and You are the Last, there is nothing after You. I seek refuge in You from the evil of every creature whose forelock is in Your grip. I seek refuge in You from sin, laziness, the punishment of the grave, the trial of wealth and the trial of poverty, and I seek refuge in You from sinful deeds and from being burdened by debt. O Allah, cleanse my heart of errors as You cleanse a white garment of dirt. O Allah, put a distance between me and my errors like the distance You have placed between the East and the West).
This hadith has a sahih (authentic) chain, but the two Shaykhs (Bukhari and Muslim) did not record it.