The missing 15-year-old boy who fled from his family's million-dollar New Jersey home the day before Halloween wrote a note to his parents saying he did not want to be found.

It's been revealed that Thomas Kolding took $1,000 in cash from his own savings, left his cell phone at home and packed a large backpack with his belongings when he ran away from home on his bicycle.

Thomas' distraught father Nicolai Kolding said in a Facebook post Wednesday morning that his son is 'safe' but still not home. He wrote that as of Saturday, Thomas was in the Philadelphia area and appeared safe and in control.

'So we know he's safe. East Coast,' his father wrote. 'In time more can be shared.'

Mr Kolding revealed that his honor student son left after an argument with his parents over his grades.

Thomas Kolding, 15, ran away from his family home in Mountain Lakes, New Jersey the day before Halloween

A photo shows him at the Walter Rand Train Station in Camden, New Jersey, wearing an orange and black striped shirt with a backpack on Saturday

Thomas' father Nicolai Kolding took to Facebook Wednesday morning saying the family know he is safe, but he is still not home

His father, a Real Estate executive, told the Daily Record Wednesday: 'We believe he is safe but we still have a long way to go.'

'We're buoyed by the news. We're heartened by it. This was a very important sighting and it looks as though he's in control,' Kolding said.

A photo shows the teen appearing to be running at the Walter Rand Train Station in Camden, New Jersey, wearing an orange and black striped shirt with a backpack.

His father revealed they had an argument over grades before Thomas ran off

On Monday, Mr Kolding said: 'The argument about his grades may have been the trigger. I was trying to motivate him and get him to live up to his potential.

'I think he was feeling pressure at school, and I want to believe that some strange part of him needed to get away for a while.'

Mountain Lakes police told the family that Thomas, the oldest of three sons, took his bike to the Denville train station, bought a ticket and rode the train until getting off at the Newark-Broad Street Stations.

From there he boarded a train to New York Penn Station.

Surveillance video shows Thomas at the Newark station, but there is no footage of him in New York.

The investigation shows Kolding had a strong interest in traveling to California and had done research on the state on his laptop, Mountain Lakes police said.

'He's a wonderful, amazing kid, and we want him home. He's never been any trouble, and we're so impressed and in awe of him and his ambition,' his father said.

Mr Kolding added that his song is a savvy traveling, having traveled from their vacation home in Norway back to New Jersey alone this summer.

An outdated photo shows the Kolding family. Thomas is the oldest of three boys

He rode his bike to the Denville train station and boarded a train to Newark - Broad Street Station. He is then though to have taken another train to New York Penn Station

His father said the high school freshman had earned the $1,000 he took with him from shoveling snow, mowing lawns and pet-sitting for his neighbors.

He also added that he believes Thomas intended to be gone for long because he left behind his collection of gemstones and old coins.

'He loves his collections, and the fact he left them behind tells me something,' Kolding said

The teen's mother, Aleksandra Wieleba Kolding, took to her Facebook page to appeal for information after her son first went missing.

'Our son, Thomas, has been missing since Tuesday. He is a wonderful, resourceful, and far-too-adventurous young man who we are worried about beyond words,' Wieleba Kolding said.

Kolding is described as having brown hair and brown eyes. He weighs approximately 120 lbs and is 5 feet 3 inches tall.

Anyone with information about his whereabouts is asked to contact Mountain Lakes police.

The teenager's mother, Aleksandra Wieleba Kolding, took to her Facebook page to appeal for information