A 65-year-old man who spent 45 years in jail for the kidnap and rape of a nurse in Louisiana has been freed after his conviction was overturned.

Authorities withheld evidence that could have exonerated Wilbert Jones decades ago and their case against him was "weak at best," State District Judge Richard Anderson ruled.

Jones had been arrested at the age of 19 and sentenced to life without parole for the rape in 1971.

Outside the gates of East Baton Rouge Parish Prison on Wednesday (15 November), Jones said "God is so good" and thanked his legal team at the Innocence Project for helping get his conviction overturned.

"Freedom. After more than 45 years and ten months. That's going through my mind," Jones said as he hugged his brother, Plem Jones, and other relatives outside the prison gates.

Doing all that time was "very difficult," Jones added, but he told reporters he holds no resentment.

"I forgave. I forgive," Jones said. "I didn't have control of it. Why should I worry about it? I'm in charge of myself."

Attorney Emily Maw praised "the extraordinary strength" of a man "who has spent over 16,000 days in prison for something he didn't do," and would nevertheless "come out with a faith in God and in humanity."

Jones was arrested on suspicion of abducting a nurse at gunpoint from a Baton Rouge hospital's parking lot and raping her behind a building on the night of 2 October, 1971.

He was convicted of aggravated rape at a 1974 retrial that "rested entirely" on the nurse's testimony and her "questionable identification" of Jones as her assailant, Judge Anderson said.

The nurse, who died in 2008, picked Jones out of a police lineup more than three months after the rape, but she also told police that the man who raped her was taller and had a "much rougher" voice than Jones had.

Jones's lawyers claim the nurse's description matches another man who was arrested but never charged in the rape of a woman abducted from the parking lot of another Baton Rouge hospital, just 27 days after the nurse's attack.

The same man also was arrested on suspicion of raping yet another woman in 1973, but was only charged and convicted of armed robbery in that case.

Judge Anderson said the evidence shows police knew of the similarities between that man and the nurse's description of her attacker.

"Nevertheless, the state failed to provide this information to the defense," the judge wrote.

Jones's attorneys also said that a prosecutor who secured his conviction had a track record of withholding evidence favorable to defendants.

A 1974 opinion by a state Supreme Court justice said the prosecutor was responsible for 11 reversed convictions the preceding year — "an incredible statistic for a single prosecutor."

Prosecutors denied that authorities withheld any relevant evidence about other Baton Rouge rapists.

"The state was not obligated to document for the defense every rape or abduction that occurred in Baton Rouge from 1971 to 1974," prosecutors wrote in February.

Prosecutors said while they do not intend to retry Jones, they would ask the Louisiana Supreme Court to review last month's decision by the judge.

Court spokesman Robert Gunn said Wednesday morning that no such request had been filed. Jones' bail has been set at $2,000 pending the review decision.

Maw said it would be "legally incorrect and morally problematic" if the East Baton Rouge District Attorney's Office insists on trying to uphold the conviction, because by doing so, it would be "saying that when Wilbert Jones was arrested in 1972 as a young, 19-year-old poor black man, he did not deserve the rights that people deserve today."

Jones's attorneys described him as a "highly trusted prisoner and a frail, ageing man" who poses no danger to the community. Prison warden Timothy Hooper also testified for his release, calling him a model inmate. The late nurse's husband wasn't opposed either.

"He feels that Mr. Jones has been in prison long enough and that he should be able to get out and spend his remaining years with his family," the lawyers wrote.

Plem Jones says he may have missed only one or two bimonthly visits with his brother in prison over the years.

"We'd sit and talk, and cried together," he said. "I never gave up on it. I knew that he didn't do it, so, you know, it wasn't nothing but a matter of time. I knew that he was going to be freed one day. But I just didn't know when. I thought it was going to be long before now."