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/ PD ROM 1 / PD ROM Volume I - Macintosh Software from BMUG (1988).iso / Education / Mathematics / Number Investigator / Number Investigator
Unknown  |  1988-07-23  |  19.6 KB  |  [APPL/nmbr]

open in: MacOS 8.1     |     Win98     |     DOS

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ConfidenceProgramDetectionMatch TypeSupport
100% dexvert MacOS Executable (executable/macOSExecutable) idMeta Supported
100% file data default


id metadata
keyvalue
macFileType[APPL]
macFileCreator[nmbr]



hex view
+--------+-------------------------+-------------------------+--------+--------+
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|00002fe0| 57 c0 48 80 48 c0 4a 80 | 67 00 00 26 70 03 3f 00 |W.H.H.J.|g..&p.?.|
|00002ff0| 43 ea 01 4a 7a 01 4e ac | 01 a8 54 8f 48 72 48 00 |C..Jz.N.|..T.HrH.|
|00003000| 20 2a 02 7c 22 2a 02 80 | 4e ac 00 90 22 5f 32 80 | *.|"*..|N..."_2.|
|00003010| 20 2a 02 2e 22 2a 02 32 | 76 00 24 3c 40 18 00 00 | *.."*.2|v.$<@...|
|00003020| 4e ac 00 68 24 2a 01 f2 | 26 2a 01 f6 4e ac 00 ac |N..h$*..|&*..N...|
|00003030| 24 2a 01 fa 26 2a 01 fe | 4e ac 00 64 4e ac 01 0c |$*..&*..|N..dN...|
|00003040| 25 40 02 7c 25 41 02 80 | 20 2a 02 7c 22 2a 02 80 |%@.|%A..| *.|"*..|
|00003050| 76 00 24 3c 3f f0 00 00 | 4e ac 00 60 24 2a 02 7c |v.$<?...|N..`$*.||
|00003060| 26 2a 02 80 4e ac 00 68 | 2f 01 2f 00 20 2a 02 7c |&*..N..h|/./. *.||
|00003070| 22 2a 02 80 76 00 24 3c | 40 00 00 00 4e ac 00 60 |"*..v.$<|@...N..`|
|00003080| 24 1f 26 1f 4e ac 00 68 | 76 00 24 3c 40 18 00 00 |$.&.N..h|v.$<@...|
|00003090| 4e ac 00 6c 24 2a 02 2e | 26 2a 02 32 4e ac 00 70 |N..l$*..|&*.2N..p|
|000030a0| 57 c0 48 80 48 c0 4a 80 | 67 00 00 26 70 04 3f 00 |W.H.H.J.|g..&p.?.|
|000030b0| 43 ea 01 4a 7a 01 4e ac | 01 a8 54 8f 48 72 48 00 |C..Jz.N.|..T.HrH.|
|000030c0| 20 2a 02 7c 22 2a 02 80 | 4e ac 00 90 22 5f 32 80 | *.|"*..|N..."_2.|
|000030d0| 20 2a 02 2e 22 2a 02 32 | 76 00 24 3c 40 08 00 00 | *.."*.2|v.$<@...|
|000030e0| 4e ac 00 68 24 2a 01 f2 | 26 2a 01 f6 4e ac 00 ac |N..h$*..|&*..N...|
|000030f0| 4e ac 01 0c 25 40 02 7c | 25 41 02 80 20 2a 02 7c |N...%@.||%A.. *.||
|00003100| 22 2a 02 80 76 00 24 3c | 3f f0 00 00 4e ac 00 60 |"*..v.$<|?...N..`|
|00003110| 24 2a 02 7c 26 2a 02 80 | 4e ac 00 68 2f 01 2f 00 |$*.|&*..|N..h/./.|
|00003120| 20 2a 02 7c 22 2a 02 80 | 76 00 24 3c 40 00 00 00 | *.|"*..|v.$<@...|
|00003130| 4e ac 00 68 76 00 24 3c | 3f f0 00 00 4e ac 00 60 |N..hv.$<|?...N..`|
|00003140| 24 1f 26 1f 4e ac 00 68 | 76 00 24 3c 40 18 00 00 |$.&.N..h|v.$<@...|
|00003150| 4e ac 00 6c 24 2a 02 2e | 26 2a 02 32 4e ac 00 70 |N..l$*..|&*.2N..p|
|00003160| 57 c0 48 80 48 c0 4a 80 | 67 00 00 26 70 05 3f 00 |W.H.H.J.|g..&p.?.|
|00003170| 43 ea 01 4a 7a 01 4e ac | 01 a8 54 8f 48 72 48 00 |C..Jz.N.|..T.HrH.|
|00003180| 20 2a 02 7c 22 2a 02 80 | 4e ac 00 90 22 5f 32 80 | *.|"*..|N..."_2.|
|00003190| 20 2a 02 2e 22 2a 02 32 | 24 2a 01 f2 26 2a 01 f6 | *.."*.2|$*..&*..|
|000031a0| 4e ac 00 ac 76 00 24 3c | 3f e0 00 00 4e ac 00 60 |N...v.$<|?...N..`|
|000031b0| 4e ac 01 0c 25 40 02 7c | 25 41 02 80 20 2a 02 7c |N...%@.||%A.. *.||
|000031c0| 22 2a 02 80 24 2a 02 7c | 26 2a 02 80 4e ac 00 68 |"*..$*.||&*..N..h|
|000031d0| 24 2a 02 7c 26 2a 02 80 | 4e ac 00 68 24 2a 02 2e |$*.|&*..|N..h$*..|
|000031e0| 26 2a 02 32 4e ac 00 70 | 57 c0 48 80 48 c0 4a 80 |&*.2N..p|W.H.H.J.|
|000031f0| 67 00 00 26 70 06 3f 00 | 43 ea 01 4a 7a 01 4e ac |g..&p.?.|C..Jz.N.|
|00003200| 01 a8 54 8f 48 72 48 00 | 20 2a 02 7c 22 2a 02 80 |..T.HrH.| *.|"*..|
|00003210| 4e ac 00 90 22 5f 32 80 | 20 2a 02 2e 22 2a 02 32 |N..."_2.| *.."*.2|
|00003220| 76 00 24 3c 40 08 00 00 | 4e ac 00 68 76 00 24 3c |v.$<@...|N..hv.$<|
|00003230| 40 00 00 00 4e ac 00 6c | 24 2a 01 f2 26 2a 01 f6 |@...N..l|$*..&*..|
|00003240| 4e ac 00 ac 76 00 24 3c | 3f e0 00 00 4e ac 00 60 |N...v.$<|?...N..`|
|00003250| 4e ac 01 0c 25 40 02 7c | 25 41 02 80 20 2a 02 7c |N...%@.||%A.. *.||
|00003260| 22 2a 02 80 76 00 24 3c | 40 00 00 00 4e ac 00 68 |"*..v.$<|@...N..h|
|00003270| 24 2a 02 7c 26 2a 02 80 | 4e ac 00 68 76 00 24 3c |$*.|&*..|N..hv.$<|
|00003280| 3f f0 00 00 4e ac 00 60 | 24 2a 02 7c 26 2a 02 80 |?...N..`|$*.|&*..|
|00003290| 4e ac 00 68 76 00 24 3c | 40 08 00 00 4e ac 00 6c |N..hv.$<|@...N..l|
|000032a0| 24 2a 02 2e 26 2a 02 32 | 4e ac 00 70 57 c0 48 80 |$*..&*.2|N..pW.H.|
|000032b0| 48 c0 4a 80 67 00 00 26 | 70 07 3f 00 43 ea 01 4a |H.J.g..&|p.?.C..J|
|000032c0| 7a 01 4e ac 01 a8 54 8f | 48 72 48 00 20 2a 02 7c |z.N...T.|HrH. *.||
|000032d0| 22 2a 02 80 4e ac 00 90 | 22 5f 32 80 70 01 3f 00 |"*..N...|"_2.p.?.|
|000032e0| 43 ea 01 4a 7a 01 4e ac | 01 a8 54 8f 30 32 48 00 |C..Jz.N.|..T.02H.|
|000032f0| 48 c0 72 00 b2 80 5d c0 | 48 80 48 c0 4a 80 67 00 |H.r...].|H.H.J.g.|
|00003300| 00 b6 70 01 3f 00 43 ea | 01 4a 7a 01 4e ac 01 a8 |..p.?.C.|.Jz.N...|
|00003310| 54 8f 30 32 48 00 48 c0 | e7 88 52 80 2f 00 2f 0f |T.02H.H.|..R././.|
|00003320| 22 57 20 11 48 c0 4e ac | 00 84 22 57 22 80 4e ac |"W .H.N.|.."W".N.|
|00003330| 00 d0 50 8f 22 3c 40 00 | 00 00 4e ac 00 5c 4e ac |..P."<@.|..N..\N.|
|00003340| 01 08 4e ac 00 94 25 40 | 02 7c 25 41 02 80 20 2a |..N...%@|.|%A.. *|
|00003350| 02 7c 22 2a 02 80 76 00 | 24 3c 3f f0 00 00 4e ac |.|"*..v.|$<?...N.|
|00003360| 00 60 24 2a 02 7c 26 2a | 02 80 4e ac 00 68 76 00 |.`$*.|&*|..N..hv.|
|00003370| 24 3c 40 00 00 00 4e ac | 00 6c 24 2a 02 4a 26 2a |$<@...N.|.l$*.J&*|
|00003380| 02 4e 4e ac 00 70 57 c0 | 48 80 48 c0 4a 80 67 00 |.NN..pW.|H.H.J.g.|
|00003390| 00 26 70 08 3f 00 43 ea | 01 4a 7a 01 4e ac 01 a8 |.&p.?.C.|.Jz.N...|
|000033a0| 54 8f 48 72 48 00 20 2a | 02 7c 22 2a 02 80 4e ac |T.HrH. *|.|"*..N.|
|000033b0| 00 90 22 5f 32 80 20 2a | 02 26 22 2a 02 2a 76 00 |.."_2. *|.&"*.*v.|
|000033c0| 74 00 4e ac 00 70 5d c0 | 48 80 48 c0 4a 80 67 00 |t.N..p].|H.H.J.g.|
|000033d0| 00 10 43 ea 00 f6 4e ac | 01 64 42 51 60 00 00 22 |..C...N.|.dBQ`.."|
|000033e0| 61 0a 6e 65 67 61 74 69 | 76 65 20 00 3f 3c 00 09 |a.negati|ve .?<..|
|000033f0| 22 4f 4e ac 00 14 5c 4f | 43 ea 00 f6 4e ac 00 18 |"ON...\O|C...N...|
|00003400| 70 00 2f 00 70 07 22 17 | 35 41 02 12 25 40 00 90 |p./.p.".|5A..%@..|
|00003410| 72 01 25 41 00 94 20 1f | 60 00 03 20 30 2a 02 12 |r.%A.. .|`.. 0*..|
|00003420| 48 c0 3f 00 43 ea 01 4a | 7a 01 4e ac 01 a8 54 8f |H.?.C..J|z.N...T.|
|00003430| 30 32 48 00 48 c0 72 00 | b2 80 57 c0 48 80 48 c0 |02H.H.r.|..W.H.H.|
|00003440| 4a 80 67 00 00 06 60 00 | 02 e2 30 2a 02 12 48 c0 |J.g...`.|..0*..H.|
|00003450| 3f 00 43 ea 01 4a 7a 01 | 4e ac 01 a8 54 8f 30 32 |?.C..Jz.|N...T.02|
|00003460| 48 00 48 c0 48 c0 4e ac | 00 88 25 40 02 36 25 41 |H.H.H.N.|..%@.6%A|
|00003470| 02 3a 61 00 18 2a 43 e8 | 01 2e 70 09 42 99 51 c8 |.:a..*C.|..p.B.Q.|
|00003480| ff fc 31 7c 00 00 01 48 | 21 7c 00 00 00 00 01 38 |..1|...H|!|.....8|
|00003490| 2f 0d 61 0a 3d 3e 20 49 | 74 d5 73 20 61 20 2b 1f |/.a.=> I|t.s a +.|
|000034a0| 3b 3c 00 0a 2f 0d 48 78 | 00 01 2f 3c 00 01 00 00 |;<../.Hx|../<....|
|000034b0| 48 6a 00 f6 48 78 00 01 | 2f 3c 00 01 00 00 30 2a |Hj..Hx..|/<....0*|
|000034c0| 02 12 48 c0 3f 00 43 ea | 01 64 7a 01 4e ac 01 a8 |..H.?.C.|.dz.N...|
|000034d0| 54 8f 43 f2 48 00 4e ac | 00 14 2f 0d 48 78 00 01 |T.C.H.N.|../.Hx..|
|000034e0| 2f 3c c0 01 00 00 61 0c | 20 6e 75 6d 62 65 72 20 |/<....a.| number |
|000034f0| 6f 66 20 00 2b 1f 3b 3c | 00 0b 2f 0d 48 78 00 01 |of .+.;<|../.Hx..|
|00003500| 2f 3c 00 01 00 00 48 6a | 00 de 48 78 00 01 2f 3c |/<....Hj|..Hx../<|
|00003510| 00 01 00 00 61 10 20 70 | 6f 69 6e 74 73 20 70 65 |....a. p|oints pe|
|00003520| 72 20 73 69 64 65 2b 1f | 3b 3c 00 10 2f 0d 48 78 |r side+.|;<../.Hx|
|00003530| 00 01 2f 3c 00 01 00 01 | 7a 06 4e ac 00 1c de fc |../<....|z.N.....|
|00003540| 00 48 2a 5f 30 2a 02 12 | 48 c0 72 00 b2 80 57 c0 |.H*_0*..|H.r...W.|
|00003550| 48 80 48 c0 4a 80 67 00 | 00 92 43 e8 01 2e 70 09 |H.H.J.g.|..C...p.|
|00003560| 42 99 51 c8 ff fc 31 7c | 00 00 01 48 21 7c 00 00 |B.Q...1||...H!|..|
|00003570| 00 00 01 38 2f 0d 61 12 | 20 20 20 77 68 69 63 68 |...8/.a.| which|
|00003580| 20 73 75 6d 73 20 74 68 | 65 20 2b 1f 3b 3c 00 12 | sums th|e +.;<..|
|00003590| 2f 0d 48 78 00 01 2f 3c | 00 01 00 00 48 6a 00 f6 |/.Hx../<|....Hj..|
|000035a0| 48 78 00 01 2f 3c 00 01 | 00 00 61 20 69 6e 74 65 |Hx../<..|..a inte|
|000035b0| 67 65 72 73 3a 20 3d 20 | 31 20 2b 20 32 20 2b 20 |gers: = |1 + 2 + |
|000035c0| 33 20 2b 20 2e 2e 2e 20 | 2b 20 4e 00 2b 1f 3b 3c |3 + ... |+ N.+.;<|
|000035d0| 00 1f 2f 0d 48 78 00 01 | 2f 3c 00 01 00 01 7a 03 |../.Hx..|/<....z.|
|000035e0| 4e ac 00 1c de fc 00 24 | 2a 5f 30 2a 02 12 48 c0 |N......$|*_0*..H.|
|000035f0| 72 04 b2 80 57 c0 48 80 | 48 c0 4a 80 67 00 00 a2 |r...W.H.|H.J.g...|
|00003600| 43 e8 01 2e 70 09 42 99 | 51 c8 ff fc 31 7c 00 00 |C...p.B.|Q...1|..|
|00003610| 01 48 21 7c 00 00 00 00 | 01 38 2f 0d 61 12 20 20 |.H!|....|.8/.a. |
|00003620| 20 77 68 69 63 68 20 73 | 75 6d 73 20 74 68 65 20 | which s|ums the |
|00003630| 2b 1f 3b 3c 00 12 2f 0d | 48 78 00 01 2f 3c 00 01 |+.;<../.|Hx../<..|
|00003640| 00 00 48 6a 00 f6 48 78 | 00 01 2f 3c 00 01 00 00 |..Hj..Hx|../<....|
|00003650| 61 30 74 72 69 61 6e 67 | 75 6c 61 72 20 6e 75 6d |a0triang|ular num|
|00003660| 62 65 72 73 3a 20 3d 20 | 31 20 2b 20 33 20 2b 20 |bers: = |1 + 3 + |
|00003670| 36 20 2b 20 2e 2e 2e 20 | 2b 20 4e 28 4e 2b 31 29 |6 + ... |+ N(N+1)|
|00003680| 2f 32 2b 1f 3b 3c 00 30 | 2f 0d 48 78 00 01 2f 3c |/2+.;<.0|/.Hx../<|
|00003690| 00 01 00 01 7a 03 4e ac | 00 1c de fc 00 24 2a 5f |....z.N.|.....$*_|
|000036a0| 30 2a 02 12 48 c0 72 05 | b2 80 57 c0 48 80 48 c0 |0*..H.r.|..W.H.H.|
|000036b0| 4a 80 67 00 00 76 43 e8 | 01 2e 70 09 42 99 51 c8 |J.g..vC.|..p.B.Q.|
|000036c0| ff fc 31 7c 00 00 01 48 | 21 7c 00 00 00 00 01 38 |..1|...H|!|.....8|
|000036d0| 2f 0d 61 38 20 20 20 77 | 68 69 63 68 20 73 75 6d |/.a8 w|hich sum|
|000036e0| 73 20 74 68 65 20 73 71 | 75 61 72 65 20 6e 75 6d |s the sq|uare num|
|000036f0| 62 65 72 73 20 3d 20 31 | 20 2b 20 34 20 2b 20 39 |bers = 1| + 4 + 9|
|00003700| 20 2b 20 2e 2e 2e 20 2b | 20 4e 2a 4e 2b 1f 3b 3c | + ... +| N*N+.;<|
|00003710| 00 38 2f 0d 48 78 00 01 | 2f 3c 00 01 00 01 7a 01 |.8/.Hx..|/<....z.|
|00003720| 4e ac 00 1c de fc 00 0c | 2a 5f 22 2a 00 94 30 2a |N.......|*_"*..0*|
|00003730| 02 12 48 c0 d0 81 35 40 | 02 12 24 2a 00 90 4a 81 |..H...5@|..$*..J.|
|00003740| 6a 02 c1 42 b0 82 6f 00 | fc d4 70 08 3f 00 43 ea |j..B..o.|..p.?.C.|
|00003750| 01 4a 7a 01 4e ac 01 a8 | 54 8f 30 32 48 00 48 c0 |.Jz.N...|T.02H.H.|
|00003760| 72 00 b2 80 57 c0 48 80 | 48 c0 4a 80 67 00 00 06 |r...W.H.|H.J.g...|
|00003770| 60 00 02 e2 70 08 3f 00 | 43 ea 01 4a 7a 01 4e ac |`...p.?.|C..Jz.N.|
|00003780| 01 a8 54 8f 30 32 48 00 | 48 c0 48 c0 4e ac 00 88 |..T.02H.|H.H.N...|
|00003790| 25 40 02 36 25 41 02 3a | 61 00 15 04 43 e8 01 2e |%@.6%A.:|a...C...|
|000037a0| 70 09 42 99 51 c8 ff fc | 31 7c 00 00 01 48 21 7c |p.B.Q...|1|...H!||
|000037b0| 00 00 00 00 01 38 2f 0d | 61 22 3d 3e 20 49 74 d5 |.....8/.|a"=> It.|
|000037c0| 73 20 61 20 73 75 6d 6d | 61 74 69 6f 6e 20 6f 66 |s a summ|ation of|
|000037d0| 20 74 68 65 20 66 69 72 | 73 74 20 00 2b 1f 3b 3c | the fir|st .+.;<|
|000037e0| 00 21 2f 0d 48 78 00 01 | 2f 3c 00 01 00 00 48 6a |.!/.Hx..|/<....Hj|
|000037f0| 00 de 48 78 00 01 2f 3c | 00 01 00 00 48 6a 00 f6 |..Hx../<|....Hj..|
|00003800| 48 78 00 01 2f 3c 00 01 | 00 00 61 2a 20 63 75 62 |Hx../<..|..a* cub|
|00003810| 69 63 20 6e 75 6d 62 65 | 72 73 3a 20 3d 20 31 20 |ic numbe|rs: = 1 |
|00003820| 2b 20 38 20 2b 20 32 37 | 20 2b 20 2e 2e 2e 20 2b |+ 8 + 27| + ... +|
|00003830| 20 4e 2a 4e 2a 4e 2b 1f | 3b 3c 00 2a 2f 0d 48 78 | N*N*N+.|;<.*/.Hx|
|00003840| 00 01 2f 3c 00 01 00 01 | 7a 04 4e ac 00 1c de fc |../<....|z.N.....|
|00003850| 00 30 2a 5f 43 e8 01 2e | 70 09 42 99 51 c8 ff fc |.0*_C...|p.B.Q...|
|00003860| 31 7c 00 00 01 48 21 7c | 00 00 00 00 01 38 2f 0d |1|...H!||.....8/.|
|00003870| 61 38 20 20 20 77 68 69 | 63 68 20 61 6c 73 6f 20 |a8 whi|ch also |
|00003880| 65 71 75 61 6c 73 20 74 | 68 65 20 73 71 75 61 72 |equals t|he squar|
|00003890| 65 20 6f 66 20 74 68 65 | 20 73 75 6d 20 6f 66 20 |e of the| sum of |
|000038a0| 74 68 65 20 66 69 72 73 | 74 20 2b 1f 3b 3c 00 38 |the firs|t +.;<.8|
|000038b0| 2f 0d 48 78 00 01 2f 3c | 00 01 00 00 48 6a 00 de |/.Hx../<|....Hj..|
|000038c0| 48 78 00 01 2f 3c 00 01 | 00 00 61 0a 20 69 6e 74 |Hx../<..|..a. int|
|000038d0| 65 67 65 72 73 00 2b 1f | 3b 3c 00 09 2f 0d 48 78 |egers.+.|;<../.Hx|
|000038e0| 00 01 2f 3c 00 01 00 01 | 7a 03 4e ac 00 1c de fc |../<....|z.N.....|
|000038f0| 00 24 2a 5f 30 2a 02 a4 | 48 c0 72 05 b2 80 5e c0 |.$*_0*..|H.r...^.|
|00003900| 48 80 48 c0 4a 80 67 00 | 00 10 43 ea 00 de 70 01 |H.H.J.g.|..C...p.|
|00003910| 4e ac 01 5c 12 fc 00 4e | 43 e8 01 2e 70 09 42 99 |N..\...N|C...p.B.|
|00003920| 51 c8 ff fc 31 7c 00 00 | 01 48 21 7c 00 00 00 00 |Q...1|..|.H!|....|
|00003930| 01 38 2f 0d 43 ea 00 de | 4e ac 00 14 3f 15 22 4d |.8/.C...|N...?."M|
|00003940| 5c 8d 4e ac 01 64 30 1f | 48 c0 72 21 d0 81 4e ac |\.N..d0.|H.r!..N.|
|00003950| 01 90 2f 0d 48 78 00 01 | 2f 3c c0 01 00 00 61 02 |../.Hx..|/<....a.|
|00003960| 32 00 2b 1f 3b 3c 00 01 | 2f 0d 48 78 00 01 2f 3c |2.+.;<..|/.Hx../<|
|00003970| 00 01 00 01 7a 02 4e ac | 00 1c de fc 00 18 2a 5f |....z.N.|......*_|
|00003980| 43 e8 01 2e 70 09 42 99 | 51 c8 ff fc 31 7c 00 00 |C...p.B.|Q...1|..|
|00003990| 01 48 21 7c 00 00 00 00 | 01 38 2f 0d 61 1e 20 20 |.H!|....|.8/.a. |
|000039a0| 20 20 20 20 3d 20 20 28 | 20 20 31 20 2b 20 32 20 | = (| 1 + 2 |
|000039b0| 2b 20 33 20 2b 20 2e 2e | 2e 20 2b 20 2b 1f 3b 3c |+ 3 + ..|. + +.;<|
|000039c0| 00 1e 2f 0d 48 78 00 01 | 2f 3c 00 01 00 00 48 6a |../.Hx..|/<....Hj|
|000039d0| 00 de 48 78 00 01 2f 3c | 00 01 00 00 61 0a 20 20 |..Hx../<|....a. |
|000039e0| 29 20 20 20 3d 20 20 00 | 2b 1f 3b 3c 00 09 2f 0d |) = .|+.;<../.|
|000039f0| 48 78 00 01 2f 3c 00 01 | 00 00 50 e8 01 54 7a 03 |Hx../<..|..P..Tz.|
|00003a00| 4e ac 00 1c de fc 00 24 | 2a 5f 20 2a 02 26 22 2a |N......$|*_ *.&"*|
|00003a10| 02 2a 25 40 02 36 25 41 | 02 3a 61 00 12 82 43 e8 |.*%@.6%A|.:a...C.|
|00003a20| 01 2e 70 09 42 99 51 c8 | ff fc 31 7c 00 00 01 48 |..p.B.Q.|..1|...H|
|00003a30| 21 7c 00 00 00 00 01 38 | 2f 0d 48 6a 00 de 48 78 |!|.....8|/.Hj..Hx|
|00003a40| 00 01 2f 3c 00 01 00 01 | 7a 01 4e ac 00 1c de fc |../<....|z.N.....|
|00003a50| 00 0c 2a 5f 42 6a 02 6a | 42 6a 02 a6 70 01 2f 00 |..*_Bj.j|Bj..p./.|
|00003a60| 30 2a 01 e6 48 c0 22 17 | 35 41 02 12 25 40 00 98 |0*..H.".|5A..%@..|
|00003a70| 72 01 25 41 00 9c 20 1f | 60 00 02 86 30 2a 02 12 |r.%A.. .|`...0*..|
|00003a80| 48 c0 48 c0 4e ac 00 88 | 25 40 02 36 25 41 02 3a |H.H.N...|%@.6%A.:|
|00003a90| 61 00 12 0c 30 2a 02 12 | 48 c0 72 08 b2 80 5e c0 |a...0*..|H.r...^.|
|00003aa0| 48 80 48 c0 2f 00 2f 00 | 30 2a 02 12 48 c0 22 1f |H.H././.|0*..H.".|
|00003ab0| 3f 00 20 01 43 ea 01 cc | 7a 01 4e ac 01 a8 54 8f |?. .C...|z.N...T.|
|00003ac0| 20 32 48 00 22 32 48 04 | 24 2a 02 2e 26 2a 02 32 | 2H."2H.|$*..&*.2|
|00003ad0| 4e ac 00 70 57 c0 48 80 | 48 c0 22 1f c0 81 4a 80 |N..pW.H.|H."...J.|
|00003ae0| 67 00 00 70 35 7c 00 01 | 02 a6 43 e8 01 2e 70 09 |g..p5|..|..C...p.|
|00003af0| 42 99 51 c8 ff fc 31 7c | 00 00 01 48 21 7c 00 00 |B.Q...1||...H!|..|
|00003b00| 00 00 01 38 2f 0d 61 1a | 3d 3e 20 49 74 d5 73 20 |...8/.a.|=> It.s |
|00003b10| 50 65 72 66 65 63 74 20 | 4e 75 6d 62 65 72 20 23 |Perfect |Number #|
|00003b20| 20 00 2b 1f 3b 3c 00 19 | 2f 0d 48 78 00 01 2f 3c | .+.;<..|/.Hx../<|
|00003b30| 00 01 00 00 48 6a 00 de | 48 78 00 01 2f 3c 00 01 |....Hj..|Hx../<..|
|00003b40| 00 01 7a 02 4e ac 00 1c | de fc 00 18 2a 5f 60 00 |..z.N...|....*_`.|
|00003b50| 01 c4 30 2a 02 12 48 c0 | 72 09 b2 80 5e c0 48 80 |..0*..H.|r...^.H.|
|00003b60| 48 c0 2f 00 2f 00 30 2a | 02 12 48 c0 22 1f 3f 00 |H././.0*|..H.".?.|
|00003b70| 20 01 43 ea 01 b2 7a 01 | 4e ac 01 a8 54 8f 20 32 | .C...z.|N...T. 2|
|00003b80| 48 00 22 32 48 04 24 2a | 02 2e 26 2a 02 32 4e ac |H."2H.$*|..&*.2N.|
|00003b90| 00 70 57 c0 48 80 48 c0 | 22 1f c0 81 4a 80 67 00 |.pW.H.H.|"...J.g.|
|00003ba0| 00 9e 43 e8 01 2e 70 09 | 42 99 51 c8 ff fc 31 7c |..C...p.|B.Q...1||
|00003bb0| 00 00 01 48 21 7c 00 00 | 00 00 01 38 2f 0d 61 1c |...H!|..|...8/.a.|
|00003bc0| 3d 3e 20 49 74 d5 73 20 | 4d 65 72 73 65 6e 6e 65 |=> It.s |Mersenne|
|00003bd0| 27 73 20 50 72 69 6d 65 | 20 23 20 00 2b 1f 3b 3c |'s Prime| # .+.;<|
|00003be0| 00 1b 2f 0d 48 78 00 01 | 2f 3c 00 01 00 00 48 6a |../.Hx..|/<....Hj|
|00003bf0| 00 de 48 78 00 01 2f 3c | 00 01 00 00 61 1e 2c 20 |..Hx../<|....a., |
|00003c00| 61 20 70 61 72 74 20 6f | 66 20 61 20 50 65 72 66 |a part o|f a Perf|
|00003c10| 65 63 74 20 4e 75 6d 62 | 65 72 2e 00 2b 1f 3b 3c |ect Numb|er..+.;<|
|00003c20| 00 1d 2f 0d 48 78 00 01 | 2f 3c 00 01 00 01 7a 03 |../.Hx..|/<....z.|
|00003c30| 4e ac 00 1c de fc 00 24 | 2a 5f 60 00 00 d8 30 2a |N......$|*_`...0*|
|00003c40| 02 12 48 c0 3f 00 43 ea | 01 7e 7a 01 4e ac 01 a8 |..H.?.C.|.~z.N...|
|00003c50| 54 8f 20 32 48 00 22 32 | 48 04 24 2a 02 2e 26 2a |T. 2H."2|H.$*..&*|
|00003c60| 02 32 4e ac 00 70 57 c0 | 48 80 48 c0 4a 80 67 00 |.2N..pW.|H.H.J.g.|
|00003c70| 00 80 35 7c 00 01 02 6a | 43 e8 01 2e 70 09 42 99 |..5|...j|C...p.B.|
|00003c80| 51 c8 ff fc 31 7c 00 00 | 01 48 21 7c 00 00 00 00 |Q...1|..|.H!|....|
|00003c90| 01 38 2f 0d 61 2a 3d 3e | 20 49 74 d5 73 20 74 68 |.8/.a*=>| It.s th|
|00003ca0| 65 20 65 78 70 6f 6e 65 | 6e 74 20 69 6e 20 50 65 |e expone|nt in Pe|
|00003cb0| 72 66 65 63 74 20 4e 75 | 6d 62 65 72 20 23 20 00 |rfect Nu|mber # .|
|00003cc0| 2b 1f 3b 3c 00 29 2f 0d | 48 78 00 01 2f 3c 00 01 |+.;<.)/.|Hx../<..|
|00003cd0| 00 00 48 6a 00 de 48 78 | 00 01 2f 3c 00 01 00 01 |..Hj..Hx|../<....|
|00003ce0| 7a 02 4e ac 00 1c de fc | 00 18 2a 5f 60 00 00 26 |z.N.....|..*_`..&|
|00003cf0| 22 2a 00 9c 30 2a 02 12 | 48 c0 d0 81 35 40 02 12 |"*..0*..|H...5@..|
|00003d00| 24 2a 00 98 4a 81 6a 02 | c1 42 b0 82 6f 00 fd 6e |$*..J.j.|.B..o..n|
|00003d10| 60 00 03 36 43 e8 01 2e | 70 09 42 99 51 c8 ff fc |`..6C...|p.B.Q...|
|00003d20| 31 7c 00 00 01 48 21 7c | 00 00 00 00 01 38 2f 0d |1|...H!||.....8/.|
|00003d30| 61 4c 20 20 20 41 20 70 | 65 72 66 65 63 74 20 6e |aL A p|erfect n|
|00003d40| 75 6d 62 65 72 20 69 73 | 20 74 68 65 20 73 75 6d |umber is| the sum|
|00003d50| 20 6f 66 20 69 74 73 20 | 64 69 76 69 73 6f 72 73 | of its |divisors|
|00003d60| 20 65 78 63 65 70 74 20 | 69 74 73 65 6c 66 2c 20 | except |itself, |
|00003d70| 65 2e 67 2e 2c 20 36 3d | 31 2b 32 2b 33 00 2b 1f |e.g., 6=|1+2+3.+.|
|00003d80| 3b 3c 00 4b 2f 0d 48 78 | 00 01 2f 3c 00 01 00 01 |;<.K/.Hx|../<....|
|00003d90| 7a 01 4e ac 00 1c de fc | 00 0c 2a 5f 61 00 0a 36 |z.N.....|..*_a..6|
|00003da0| 30 2a 02 12 48 c0 72 01 | b2 80 5d c0 48 80 48 c0 |0*..H.r.|..].H.H.|
|00003db0| 2f 00 30 2a 02 12 48 c0 | 72 0b b2 80 5e c0 48 80 |/.0*..H.|r...^.H.|
|00003dc0| 48 c0 22 1f c0 81 2f 00 | 30 2a 02 a6 48 c0 72 00 |H.".../.|0*..H.r.|
|00003dd0| b2 80 56 c0 48 80 48 c0 | 22 1f c0 81 4a 80 67 00 |..V.H.H.|"...J.g.|
|00003de0| 00 06 61 00 00 20 30 2a | 02 6a 48 c0 72 00 b2 80 |..a.. 0*|.jH.r...|
|00003df0| 57 c0 48 80 48 c0 4a 80 | 67 00 00 06 61 00 01 5a |W.H.H.J.|g...a..Z|
|00003e00| 60 00 02 46 25 7c 3f f0 | 00 00 02 36 42 aa 02 3a |`..F%|?.|...6B..:|
|00003e10| 70 01 2f 00 30 2a 02 12 | 48 c0 3f 00 43 ea 01 7e |p./.0*..|H.?.C..~|
|00003e20| 7a 01 4e ac 01 a8 54 8f | 20 32 48 00 22 32 48 04 |z.N...T.| 2H."2H.|
|00003e30| 76 00 24 3c 3f f0 00 00 | 4e ac 00 64 76 00 24 3c |v.$<?...|N..dv.$<|
|00003e40| 40 00 00 00 4e ac 00 6c | 4e ac 00 90 22 17 35 41 |@...N..l|N...".5A|
|00003e50| 02 14 25 40 00 a0 72 01 | 25 41 00 a4 20 1f 60 00 |..%@..r.|%A.. .`.|
|00003e60| 00 2e 20 2a 02 36 22 2a | 02 3a 76 00 24 3c 40 00 |.. *.6"*|.:v.$<@.|
|00003e70| 00 00 4e ac 00 68 25 40 | 02 36 25 41 02 3a 22 2a |..N..h%@|.6%A.:"*|
|00003e80| 00 a4 30 2a 02 14 48 c0 | d0 81 35 40 02 14 24 2a |..0*..H.|..5@..$*|
|00003e90| 00 a0 4a 81 6a 02 c1 42 | b0 82 6f c6 61 00 0e 00 |..J.j..B|..o.a...|
|00003ea0| 43 e8 01 2e 70 09 42 99 | 51 c8 ff fc 31 7c 00 00 |C...p.B.|Q...1|..|
|00003eb0| 01 48 21 7c 00 00 00 00 | 01 38 2f 0d 43 ea 00 ea |.H!|....|.8/.C...|
|00003ec0| 4e ac 00 14 70 05 4e ac | 01 70 61 1a 20 73 75 6d |N...p.N.|.pa. sum|
|00003ed0| 73 20 63 75 62 65 73 20 | 6f 66 20 74 68 65 20 66 |s cubes |of the f|
|00003ee0| 69 72 73 74 20 00 3f 3c | 00 19 22 4f 4e ac 00 14 |irst .?<|.."ON...|
|00003ef0| 5c 4f 4e ac 01 6c 2f 0d | 48 78 00 01 2f 3c c0 01 |\ON..l/.|Hx../<..|
|00003f00| 00 00 48 6a 00 de 48 78 | 00 01 2f 3c 00 01 00 00 |..Hj..Hx|../<....|
|00003f10| 61 26 20 6f 64 64 20 69 | 6e 74 65 67 65 72 73 3a |a& odd i|ntegers:|
|00003f20| 20 31 20 2b 20 33 2a 33 | 2a 33 20 2b 20 35 2a 35 | 1 + 3*3|*3 + 5*5|
|00003f30| 2a 35 20 2b 2e 2e 2e 00 | 2b 1f 3b 3c 00 25 2f 0d |*5 +....|+.;<.%/.|
|00003f40| 48 78 00 01 2f 3c 00 01 | 00 01 7a 03 4e ac 00 1c |Hx../<..|..z.N...|
|00003f50| de fc 00 24 2a 5f 4e 75 | 30 2a 02 12 48 c0 2f 00 |...$*_Nu|0*..H./.|
|00003f60| 30 2a 01 e6 48 c0 22 17 | 35 41 02 12 25 40 00 a8 |0*..H.".|5A..%@..|
|00003f70| 72 01 25 41 00 ac 20 1f | 60 00 00 bc 30 2a 02 12 |r.%A.. .|`...0*..|
|00003f80| 48 c0 3f 00 43 ea 01 7e | 7a 01 4e ac 01 a8 54 8f |H.?.C..~|z.N...T.|
|00003f90| 20 32 48 00 22 32 48 04 | 24 2a 02 2e 26 2a 02 32 | 2H."2H.|$*..&*.2|
|00003fa0| 4e ac 00 70 57 c0 48 80 | 48 c0 4a 80 67 00 00 78 |N..pW.H.|H.J.g..x|
|00003fb0| 43 e8 01 2e 70 09 42 99 | 51 c8 ff fc 31 7c 00 00 |C...p.B.|Q...1|..|
|00003fc0| 01 48 21 7c 00 00 00 00 | 01 38 2f 0d 61 36 3d 3e |.H!|....|.8/.a6=>|
|00003fd0| 20 49 74 d5 73 20 61 6c | 73 6f 20 74 68 65 20 65 | It.s al|so the e|
|00003fe0| 78 70 6f 6e 65 6e 74 20 | 69 6e 20 61 20 6c 61 72 |xponent |in a lar|
|00003ff0| 67 65 72 20 50 65 72 66 | 65 63 74 20 4e 75 6d 62 |ger Perf|ect Numb|
|00004000| 65 72 3a 00 2b 1f 3b 3c | 00 35 2f 0d 48 78 00 01 |er:.+.;<|.5/.Hx..|
|00004010| 2f 3c 00 01 00 01 7a 01 | 4e ac 00 1c de fc 00 0c |/<....z.|N.......|
|00004020| 2a 5f 61 00 07 b0 22 2a | 00 ac 30 2a 02 12 48 c0 |*_a..."*|..0*..H.|
|00004030| d0 81 35 40 02 12 24 2a | 00 a8 4a 81 6a 02 c1 42 |..5@..$*|..J.j..B|
|00004040| b0 82 6f 00 ff 38 4e 75 | 43 ea 00 d8 4e ac 00 14 |..o..8Nu|C...N...|
|00004050| 43 ea 00 de 4e ac 00 18 | 20 2a 02 2e 22 2a 02 32 |C...N...| *.."*.2|
|00004060| 76 00 24 3c 40 26 00 00 | 4e ac 00 70 5e c0 48 80 |v.$<@&..|N..p^.H.|
|00004070| 48 c0 4a 80 67 00 00 06 | 60 00 03 18 70 01 2f 00 |H.J.g...|`...p./.|
|00004080| 70 10 22 17 35 41 02 12 | 25 40 00 b0 72 01 25 41 |p.".5A..|%@..r.%A|
|00004090| 00 b4 20 1f 60 00 00 a6 | 43 ea 00 de 4e ac 00 14 |.. .`...|C...N...|
|000040a0| 30 2a 02 12 48 c0 4e ac | 01 74 61 10 36 32 35 39 |0*..H.N.|.ta.6259|
|000040b0| 39 31 38 32 31 32 38 39 | 30 36 32 35 3f 3c 00 10 |91821289|0625?<..|
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|000040d0| 01 74 4e ac 01 68 57 c0 | 48 80 48 c0 2f 00 43 ea |.tN..hW.|H.H./.C.|
|000040e0| 00 de 4e ac 00 14 30 2a | 02 12 48 c0 4e ac 01 74 |..N...0*|..H.N..t|
|000040f0| 61 10 33 37 34 30 30 38 | 31 37 38 37 31 30 39 33 |a.374008|17871093|
|00004100| 37 36 3f 3c 00 10 22 4f | 4e ac 00 14 5c 4f 30 2a |76?<.."O|N...\O0*|
|00004110| 02 12 48 c0 4e ac 01 74 | 4e ac 01 68 57 c0 48 80 |..H.N..t|N..hW.H.|
|00004120| 48 c0 22 1f 80 81 4a 80 | 67 00 00 22 22 2a 00 b4 |H."...J.|g..""*..|
|00004130| 30 2a 02 12 48 c0 d0 81 | 35 40 02 12 24 2a 00 b0 |0*..H...|5@..$*..|
|00004140| 4a 81 6a 02 c1 42 b0 82 | 6f 00 ff 4e 30 2a 02 12 |J.j..B..|o..N0*..|
|00004150| 48 c0 72 02 b2 80 5d c0 | 48 80 48 c0 4a 80 67 00 |H.r...].|H.H.J.g.|
|00004160| 00 a0 43 e8 01 2e 70 09 | 42 99 51 c8 ff fc 31 7c |..C...p.|B.Q...1||
|00004170| 00 00 01 48 21 7c 00 00 | 00 00 01 38 2f 0d 61 30 |...H!|..|...8/.a0|
|00004180| 3d 3e 20 49 74 d5 73 20 | 61 75 74 6f 6d 6f 72 70 |=> It.s |automorp|
|00004190| 68 69 63 2d 2d 61 6e 79 | 20 70 6f 77 65 72 20 65 |hic--any| power e|
|000041a0| 6e 64 73 20 69 6e 20 74 | 68 65 20 73 61 6d 65 00 |nds in t|he same.|
|000041b0| 2b 1f 3b 3c 00 2f 2f 0d | 48 78 00 01 2f 3c 00 01 |+.;<.//.|Hx../<..|
|000041c0| 00 00 30 2a 02 12 48 c0 | 53 80 3b 00 2f 0d 48 78 |..0*..H.|S.;./.Hx|
|000041d0| 00 01 2f 3c 00 04 00 00 | 61 08 64 69 67 69 74 73 |../<....|a.digits|
|000041e0| 2e 00 2b 1f 3b 3c 00 07 | 2f 0d 48 78 00 01 2f 3c |..+.;<..|/.Hx../<|
|000041f0| 00 01 00 01 7a 03 4e ac | 00 1c de fc 00 24 2a 5f |....z.N.|.....$*_|
|00004200| 43 ea 00 de 4e ac 00 14 | 70 01 4e ac 01 70 61 02 |C...N...|p.N..pa.|
|00004210| 20 00 3f 3c 00 01 22 4f | 4e ac 00 14 5c 4f 4e ac | .?<.."O|N...\ON.|
|00004220| 01 68 57 c0 48 80 48 c0 | 4a 80 67 00 00 20 43 ea |.hW.H.H.|J.g.. C.|
|00004230| 00 de 4e ac 00 14 70 02 | 22 00 30 3c 7f ff 4e ac |..N...p.|".0<..N.|
|00004240| 01 78 43 ea 00 de 4e ac | 00 18 60 b4 43 ea 00 de |.xC...N.|..`.C...|
|00004250| 4e ac 00 14 3f 15 22 4d | 5c 8d 4e ac 01 64 30 1f |N...?."M|\.N..d0.|
|00004260| 48 c0 35 40 02 14 70 01 | 2f 00 30 2a 02 14 48 c0 |H.5@..p.|/.0*..H.|
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|00004290| 25 40 00 b8 72 01 25 41 | 00 bc 20 1f 60 00 00 66 |%@..r.%A|.. .`..f|
|000042a0| 43 ea 00 de 4e ac 00 14 | 30 2a 02 12 48 c0 2f 00 |C...N...|0*..H./.|
|000042b0| 70 01 24 1f c1 42 c1 42 | c3 42 4e ac 01 78 43 ea |p.$..B.B|.BN..xC.|
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|000042e0| 56 c0 48 80 48 c0 4a 80 | 67 00 00 06 60 00 00 a4 |V.H.H.J.|g...`...|
|000042f0| 53 6a 02 14 22 2a 00 bc | 30 2a 02 12 48 c0 d0 81 |Sj.."*..|0*..H...|
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|000043a0| 22 4d 5c 8d 4e ac 01 64 | 30 1f 48 c0 22 17 35 41 |"M\.N..d|0.H.".5A|
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|00004480| 76 65 72 74 69 63 61 6c | 6c 79 20 73 79 6d 6d 65 |vertical|ly symme|
|00004490| 74 72 69 63 2d 2d 74 68 | 65 20 73 61 6d 65 20 77 |tric--th|e same w|
|000044a0| 68 65 6e 20 69 6e 76 65 | 72 74 65 64 3a 20 2b 1f |hen inve|rted: +.|
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|000045d0| 00 01 2f 3c 00 01 00 00 | 61 38 21 20 74 68 65 20 |../<....|a8! the |
|000045e0| 70 72 6f 64 75 63 74 20 | 6f 66 20 74 68 65 20 69 |product |of the i|
|000045f0| 6e 74 65 67 65 72 73 3a | 20 20 31 20 78 20 32 20 |ntegers:| 1 x 2 |
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