In order to secure a permanent stay here you would have to apply for indefinite leave to remain. A student must have been in the UK continuously for 10 years to be eligible to apply for this.
Periods of time in the UK on visitor's visas do not count to ILR eligibility in any circumstance I'm afraid.
Obviously you do not qualify for this. If you were to start working here under a workers visa then once you have been working for 5 years you can apply for ILR.
If you marry someone with UK citizenship or ILR then you will receive a spouses visa for two years and after those two years you can apply for ILR to secure your permanent stay here.
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