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| A003401
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Numbers of edges of regular polygons constructible with ruler (or, more precisely, an unmarked straightedge) and compass.
(history;
published version)
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#179 by David James Sycamore at Mon Aug 26 10:19:53 EDT 2024
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#178 by David James Sycamore at Mon Aug 26 10:19:17 EDT 2024
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| COMMENTS
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If x,y are terms, and gcd(x,y)= 1) is a power orof 2 then x*y is also a term. - David James Sycamore, Aug 24 2024
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#177 by David James Sycamore at Mon Aug 26 08:06:48 EDT 2024
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#176 by David James Sycamore at Mon Aug 26 08:06:04 EDT 2024
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If x and ,y are coprime terms, or ifand gcd(x,y) is a power)= 1 ofor 2 then x*y is also a term. - David James Sycamore, Aug 24 2024
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#175 by David James Sycamore at Mon Aug 26 06:58:56 EDT 2024
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#174 by David James Sycamore at Mon Aug 26 06:58:29 EDT 2024
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All numbers in A000079 and A092506 are terms. If x and y are coprime terms, or if gcd(x,y) is a power of 2 then x*y is also a term. - David James Sycamore, Aug 24 2024
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Discussion
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| Mon Aug 26
| 06:58
| David James Sycamore: and shorter again…
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#173 by David James Sycamore at Mon Aug 26 05:48:24 EDT 2024
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#172 by David James Sycamore at Mon Aug 26 05:47:41 EDT 2024
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All numbers in A000079 and A092506 are terms. If x and y are coprime terms, then x*y is also a term. However there existor termsif gcd(x,y which are not coprime, yet x*y ) is a term. E.g. let x = 2^k, y = 2*Product{i}p_i; p_i in A092506. Then x,y arepower bothof terms, (x,y) = 2, and then x*y is a term (as for x = 4, y = 30, 120 isalso a term). - _. - _David James Sycamore_, Aug 24 2024
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Discussion
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| Mon Aug 26
| 05:48
| David James Sycamore: Made it shorter.
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#171 by David James Sycamore at Mon Aug 26 03:28:26 EDT 2024
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#170 by David James Sycamore at Mon Aug 26 03:26:44 EDT 2024
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All numbers in powersA000079 ofand 2A092506 are terms. If x and y are coprime terms, then x*y is also a term. However there exist terms x, ,y which are not coprime, yet x*y is a term. E.g. let x = 2^k, y = 2*Product{i}p_i; p_i in A092506. Then x,y are both terms, (x,y) = 2, and x*y is a term (as for x = 4, y = 30, 120 is a term). - David James Sycamore, Aug 24 2024
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| CROSSREFS
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Cf. A000079, A092506.
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