Dear Brothers & Sisters,As-Salaamu-Alaikum wa Rahmatullahi wa Barakatuh. (May Allah's Peace, Mercy and Blessings be upon all of you)
If the calender table indicates 4:45 a.m. as Ishraq till what time can Fajr be prayed?
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If what is published in the calendar conforms to what is actually observed in reality, then the answer to your question is what was narrated by Abu Huraira in the hadith of the Prophet (peace be upon him): "Whoever catches a raka'a of the morning prayer before the sun rises has caught the prayer" (i.e. on time) (Bukhari).
It must be noted, however, that praying the five daily congregational prayers in the mosque is wajib (compulsory) for men.
Whatever written of Truth and benefit is only due to Allah's Assistance and Guidance, and whatever of error is of me. Allah Alone Knows Best and He is the Only Source of Strength.