I get that 4,6,5,7 is valid and scores 4 points.

If it was a run that goes past the four cards played, e.g. 4,6,5,7 then a 3 is played and then a 2.

Do the 3 and 2 continue the run and score 5 points and then 6 points?

  • Hi Papa Dingo, if you are satisfied that the answer given below satisfies your question, please take a minute to acknowledge the poster by giving them a green check mark in the accepted answer spot. – Stephen Oct 10 '19 at 0:10

Yes. Each card that makes a run during play scores the run.

From https://www.mastersofgames.com/rules/cribbage-rules.htm

Similarly, if anyone lays a card such that with the three or more preceding cards, a run can be constructed, the number of cards which would make up that run are scored. e.g. suppose cards were laid in the following order: 8,6,4,5,7. The fourth card would score 3 points, the fifth card would score five points.

See for more: http://cribbagecorner.com/node/536

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