Each of M and N is a
nonnegative integer such that:
M
o Celsius = N
o Fahrenheit.
Determine all possible values of N<10
such that N is a perfect power.
*** F = (9/5)*C +32, where F denotes degree Fahrenheit and C denotes degree Celsius.
(In reply to
A much faster way by Charlie)
C F base exponent
0 32 2 5
1120 2048 2 11
43385 78125 5 7
72800 131072 2 17
89455 161051 11 5
1777760 3200000 20 5
4660320 8388608 2 23
11395065 20511149 29 5
44019520 79235168 38 5
58563040 105413504 14 7
127413875 229345007 47 5
298261600 536870912 2 29
305962080 550731776 56 5
644605885 1160290625 65 5
678168385 1220703125 5 13
1232781440 2219006624 74 5
1891569675 3404825447 23 7
2188355895 3939040643 83 5
3661564000 6590815232 92 5
5838944705 10510100501 101 5
8947277760 16105100000 110 5
13257520315 23863536599 119 5
19088743520 34359738368 2 35
19088743520 34359738368 32 7
19088743520 34359738368 128 5
26812069125 48261724457 137 5
36854606080 66338290976 146 5
49703387135 89466096875 155 5
65909305440 118636749824 164 5
86091051145 154963892093 173 5
108196818805 194754273881 41 7
110939048000 199690286432 182 5
141219389955 254194901951 191 5
158506483655 285311670611 11 11
177777777760 320000000000 200 5
221543455565 398778220049 209 5
273533147520 492359665568 218 5
334854994375 602738989907 227 5
406712490080 732082482176 236 5
434027777760 781250000000 50 7
490408418385 882735153125 245 5
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Posted by Charlie
on 2022-01-10 07:39:42 |
re: A much faster way -- the complete set for up to a trillion
