Clarke's Commentary (not sure who Clarke is ).
The men which thou gavest me - That is, the apostles, who, having received this knowledge from Christ, were, by their preaching and writings, to spread it through the whole world.
Out of the world - From among the Jewish people; for in this sense is the word κοσμος to be understood in various parts of our Lord's last discourses.
Thine they were - Objects of thy choice; and thou gavest them to me from among this very unbelieving people, that they might be my disciples and the heralds of my salvation.
And they have kept thy word - Though their countrymen have rejected it; and they have received me as thy well beloved Son in whom thou delightest.
Yes, he is talking about his disciples in particular there but when he says--they were yours, and you gave them to me---meaning they are your elect. Well, this will apply to all God's elect--given to Jesus such that--
they all may be one; as thou, Father, art in me, and I in thee, that they also may be one in us: that the world may believe that thou hast sent me.
22And the glory which thou gavest me I have given them; that they may be one, even as we are one:
23I in them, and thou in me, that they may be made perfect in one; and that the world may
know that thou hast sent me, and hast loved them, as thou hast loved me.
You must agree that prayer is for all of us.
Notice who Peter is writing to--he is writing to 'strangers scattered' who are also the 'elect.'
1 Peter 1
1Peter, an apostle of Jesus Christ, to the strangers scattered
throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia,
2Elect according to the foreknowledge of God the Father,
through sanctification of the Spirit, unto obedience and sprinkling of the blood of Jesus Christ: Grace unto you, and peace, be multiplied.
These are those out of covenant people of God--the lost sheep of the house of Israel. Peter is admitting it by calling them 'strangers scattered.'
Deut 28:64 Then the LORD will scatter you among all nations, from one end of the earth to the other. There you will worship other gods--gods of wood and stone, which neither you nor your fathers have known.
These 'strangers' have been lost for so long they think they are 'gentiles.'