>>4447865 months? Not a spesific trail. But you could do the St Olav's road. A pilgrim road that goes from Oslo to Trondheim. Takes about 30-35 days of walking, and the path showcase the more beautiful aspects of inland Norway, while also having varied nature. From the fairytale mountains of Dovre to the majestic valley of Gudbrandsdalen, to the hobbitesque rolling hills and farmlands. I walked the road last year. And as a pilgrim, you get lots of discount on hostels and such should you require it (showering or shelter from bad weather, what else you might need)
From there, you might want to keep wandering the historical medieval paths further north to Stiklestad where saint olav died, and then press on further northwards. During summer, it's suprisingly hot in the north.