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Coprimality is still the relevant property. But if one number can be adjusted, then the only way to guarantee coprimality is for the other number to be a prime
by endtime 16y ago
Coprimality is still the relevant property. But if one number can be adjusted, then the only way to guarantee coprimality is for the other number to be a prime.
- wging 16y agoAlmost. Coprimality can never be guaranteed. If the numbers are p and q, with p prime and q being adjustable, just take q=p. Then they match up, showing that this barrier isn't enough. The other relevant barrier we have is probably that a 6-year wasp has difficulty stretching its cycle by a factor of 3--much more difficult than a single year or two.