A.T. Robertson Commentary 1 Timothy 2:1

"I exhort therefore, first of all, that supplications, prayers, intercessions, thanksgivings, be made for all men;" — 1 Timothy 2:1 (ASV)

First of all (πρωτον παντων). Take with παρακαλω. My first request (first in importance).

Intercessions (εντευξεις). Late word (Polybius, Plutarch, etc.), only here in N.T. and 4:5, though the verb εντυγχανω in Ro 8:27,34; 11:2,25. The other three words for prayer are common .

For all men (υπερ παντων ανθρωπων). The scope of prayer is universal including all kinds of sinners (and saints).