John 1:11-12 - "(Jesus) came unto His own (the Jews), and His own received Him not. But as many as received Him (whether Jew or Gentile), to them gave He power to become the sons of God, even to them that believe on His name!"
John 3:14-18 - "And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up: that whosoever believeth in Him (whether Jew or Gentile) should not perish, but have eternal life. For God so loved the world, that He gave His only begotten Son, that whosoever (whether Jew or Gentile) believeth in Him should not perish, but have everlasting life. For God sent not His Son into the world to condemn the world; but that the world through Him might be saved. 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 6:28-29, 47 - "Then said they unto Him, What shall we do, that we might work the works of God? Jesus answered and said unto them, This is the work of God, that ye believe on Him whom He hath sent!" "Verily, verily, I say unto you, He that believeth on Me hath everlasting life!"
John 9:35-38 - "Jesus heard that they had cast him out; and when He had found him, He said unto him, Dost thou believe on the Son of God? He answered and said, Who is He, Lord, that I might believe on Him? And Jesus said unto him, Thou hast both seen Him, and it is He that talketh with thee. And he said, Lord, I believe. And he worshipped Him!"
John 14:1-3 - "Let not your heart be troubled: ye believe in God, believe also in Me. In My Father's house are many mansions: if it were not so, I would have told you. I go to prepare a place for you. And if I go and prepare a place for you, I will come again, and receive you unto Myself; that where I am, there ye may be also!"
John 20:27-31 - "Then saith (Jesus) to Thomas, reach hither thy finger, and behold My hands; and reach hither thy hand, and thrust it into My side: and be not faithless, but believing. And Thomas answered and said unto Him, My Lord and my God. Jesus saith unto him, Thomas, because thou hast seen Me, thou hast believed: blessed are they that have not seen, and yet have believed. And many other signs truly did Jesus in the presence of His disciples, which are not written in this book: 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!"
1 John 5:13 -
"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...!"