Talk:Untouchable numbers: Difference between revisions

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== reduction in the number of (counting) ranges ==
 
I've reduced the number of ranges for counting untouchable numbers.     It seems the upper limit for searching for touchable numbers was far higher than I estimatedguesstimated.     -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 09:28, 9 February 2021 (UTC)