Eternal Life through the name of the Son

“But these are written, that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through His name.” John 20:31

“And this is the record, that God hath given to us eternal life, and this life is in His Son. He that hath the Son hath life; and he that hath not the Son of God hath not life. These things have I written unto you that believe on the name of the Son of God; that ye may know that ye have eternal life, and that ye may believe on the name of the Son of God.” 1 John 5:11-13

“He that believeth on Him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.” John 3:18

“Who is he that overcometh the world, but he that believeth that Jesus is the Son of God?” 1 John 5:5

“That which was from the beginning, which we have heard, which we have seen with our eyes, which we have looked upon, and our hands have handled, of the Word of life; (For the life was manifested, and we have seen it, and bear witness, and shew unto you that eternal life, which was with the Father, and was manifested unto us;) That which we have seen and heard declare we unto you, that ye also may have fellowship with us: and truly our fellowship is with the Father, and with his Son Jesus Christ.” 1 John 1:1-3