So... After exploring all of North America by, say 1400, they do South America by 1550 or so. Then cross the Pacific, reaching Hawaii and the Aleutians by 1450, Japan by 1500. Vladivesti (otl vladivostok) settled 1550, and soon thereafter Norse from Scandinavia reach that far east.
Slow expansion south. Philippines by 1550, Indonesia 1600, Sudland (Australia) by 1650. Exploration and settlements reach all that continent by 1750.
Again, by 1550 they have ports or provisioning and trading stations all the way around Africa, alternating with the Portuguese.
Settlements in Southern Africa start about then, And the south And high veldt is Norse controlled by about 1700.
Norse explorers then tackle the interior. Said Norse may well have black skin and curly hair, BTW. By 1800, that's done.
First man to reach the North Pole is Norse, about that same time 1800, and the South Pole and Mt Everest are reached by 1850.
Since all land areas have been reached, the Norse lead the way in ballooning, then aeronautics, and also ocean exploration.
The bottom of the Mariana's trench has been reached, and low earth orbit reached by 1950.
The Moon is reached by 2000, with a Moon base following. By 2050 the lunar settlements are thriving, producing metal and oxygen for space settlements and industry. Njalsstad is a large settlement at L5. The experiment with a low pressure high oxygen atmosphere in the colony led, of course, to the horrendous fire there. Burnt Njal (brennu Njals Saga), the story of the disaster and investigation that followed won the Nobel and the Pulitzer.
By 2050, a small base has been established on Mars, and asteroid mining has started.
The first (unmanned, obviously) interstellar probe is launched by 2100. This craft somewhat resembles Project Daedalus.
By 2200 the Solar system is thoroughly settled. Nynorsk is the lingua Franca of all humans, being the first language of several billion and fluency is required for any technical or international communication.
2200 also marks the first crewed interstellar ship.
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How's that?