
mindestens
at least
Indicates a lower limit; not less than a certain number, amount, or measure.
Für diesen Job müssen Sie mindestens 25 Jahre alt sein.
For this job, you must be at least 25 years old.
at least
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at least
Indicates a lower limit; not less than a certain number, amount, or measure.
Für diesen Job müssen Sie mindestens 25 Jahre alt sein.
For this job, you must be at least 25 years old.

at least
Expresses a minimal expectation or a limitation; at least.
Wenn du schon zu spät kommst, hättest du mindestens anrufen können.
If you were going to be late, you could at least have called.
'Mindestens' (at least) is a superlative form derived from 'minder' (less). The ending '-stens' is used to form superlative adverbs and here expresses a lowest limit.
Die Reparatur wird mindestens eine Woche dauern.
The repair will take at least a week.
'Mindestens' (at least) often stands directly before the information it describes. However, it can also stand in position 1, in which case the verb follows directly after it (inversion).
Du solltest mindestens acht Stunden pro Nacht schlafen.
You should sleep at least eight hours per night.
In the meaning 'nicht weniger als' (not less than), 'mindestens' (at least) is almost always combined with numbers, amounts, or time expressions. Typical phrases are 'mindestens einmal' (at least once), 'mindestens drei Tage' (at least three days), or 'mindestens 10 Euro' (at least 10 euros).
Man muss mindestens 18 Jahre alt sein, um wählen zu dürfen.
You have to be at least 18 years old to be allowed to vote.
The meaning 'zumindest' (at least) is often recognized from the context of an expectation or reproach. The subjunctive II is frequently used here to describe an alternative, better action.
Du hättest mindestens eine Nachricht schreiben können, um Bescheid zu geben.
You could at least have written a message to let me know.
at least
Mindestens usually sets a countable or measurable lower limit, for example for points, time, or money. Zumindest is more likely to name the part of a statement that is certainly true or to highlight a still-positive result. With an exact number, mindestens is therefore usually the better choice.

Zum Bestehen der Prüfung braucht man mindestens fünfzig Punkte.
You need at least fifty points to pass the exam.
Die Prüfung war schwer, aber zumindest habe ich sie bestanden.
The exam was difficult, but at least I passed it.