Understanding PF Account Numbers
The PF number is given by the government, not by the employer. It is essentially the PF account number. This is the first thing you need to know. If you want to close the PF account of your first employer, you must wait 2 months to apply for withdrawal after your resignation. If you then open another PF account with a second employer under the same name, it can create issues when you resign from the job. The same thing happened to me.
So, I suggest keeping the same PF account number until you retire. By doing so, you will benefit. If the account continues for 3 years, you can withdraw the amount without closing the account. After 5 years, you will have the option for a loan, either for a house or marriage.
My best suggestion is not to close the PF account with your first employer. Just submit Form 13 to your present employer so that your account will be transferred to the current company from the previous employer.
Regards.