2^5*5^3 of something

Axel L
Axel L
WC Mod
Joined Mar 2013 Posts: 11,065
edited 17 May 2017, 12:57PM
This marks the great achievement on the kixeye forums. 2^2*3*5^3 posts ago was my unicorn overlord special.

This do also mark 133 posts head of one active WC moderator I will not name who has build a log collection of nicknames over the years.

Here below is something to do for those who want to waste some time of there life.

Here are a list of few numbers that may be interesting.
1, 4, 8, 9, 16, 25, 27, 32, 36, 49, 64, 81, 100, 121, 125, 128, 144, 169, 196, 216, 225, 243, 256, 289, 324, 343, 361, 400, 441, 484, 512, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1000, 1024, 1089, 1156, 1225, 1296, 1331, 1369, 1444, 1521, 1600, 1681, 1728, 1764, 1849, 1936, 2025, 2048, 2116, 2197, 2209, 2304, 2401, 2500, 2601, 2704, 2744, 2809, 2916, 3025, 3125, 3136, 3249, 3364, 3375, 3481, 3600, 3721, 3844, 3969

Here are few other numbers that are interesting in a different way.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989

Finally 2 sequences of numbers that has something in common with the sequences above. These 2 below have also something else in common because they are heavily related to a famous number sequence.
Sequence 1:
1, 8, 144

Sequence 2:
2, 3, 5, 13, 89, 233, 1597
 <|=  0330 1323 1103 1211 0312 1201 1302 1203 0230 1220 0200  =|> 
 <|=  0302 0320 1310 1220 1211 0200 1313 1233 1302 1210 0230  =|> 
 <|=  0200 1211 0310 1303 0321 1301 1311 1221 1312 0312 1201  =|> 
 <|=  1230 1221 1211 0230 0320 0301 1232 1203 1211 0200 1221  =|> 
 <|=  1232 0200 1201 0302 0200 1210 0320 1221 1203 0232 1310  =|> 
 <|=  0232 1221 1233 1232 1201 1302 1321 0232 0232 0332 1331  =|> 
  • Initial_Degeneration
    Initial_Degeneration
    Unicorn Overlord
    Joined Mar 2015 Posts: 2,853
    why  

  • Axel L
    Axel L
    WC Mod
    Joined Mar 2013 Posts: 11,065


    why  


    I had to make something put of it. It has to be constructive in some manner so Hyperius don't find a reason to hit the delete button.
     <|=  0330 1323 1103 1211 0312 1201 1302 1203 0230 1220 0200  =|> 
     <|=  0302 0320 1310 1220 1211 0200 1313 1233 1302 1210 0230  =|> 
     <|=  0200 1211 0310 1303 0321 1301 1311 1221 1312 0312 1201  =|> 
     <|=  1230 1221 1211 0230 0320 0301 1232 1203 1211 0200 1221  =|> 
     <|=  1232 0200 1201 0302 0200 1210 0320 1221 1203 0232 1310  =|> 
     <|=  0232 1221 1233 1232 1201 1302 1321 0232 0232 0332 1331  =|> 
  • Initial_Degeneration
    Initial_Degeneration
    Unicorn Overlord
    Joined Mar 2015 Posts: 2,853
    how long did this post take you

  • Axel L
    Axel L
    WC Mod
    Joined Mar 2013 Posts: 11,065


    how long did this post take you


    Most of the creation process was to write the first list of numbers. I had all the numbers done in a spreadsheet and it was only to copy it. Then I used few other tricks.

    The thinking process before writing is of course the thing that takes the longest.
     <|=  0330 1323 1103 1211 0312 1201 1302 1203 0230 1220 0200  =|> 
     <|=  0302 0320 1310 1220 1211 0200 1313 1233 1302 1210 0230  =|> 
     <|=  0200 1211 0310 1303 0321 1301 1311 1221 1312 0312 1201  =|> 
     <|=  1230 1221 1211 0230 0320 0301 1232 1203 1211 0200 1221  =|> 
     <|=  1232 0200 1201 0302 0200 1210 0320 1221 1203 0232 1310  =|> 
     <|=  0232 1221 1233 1232 1201 1302 1321 0232 0232 0332 1331  =|> 
  • No..Beard
    No..Beard
    Unicorn Overlord
    Joined Jun 2010 Posts: 3,791
    edited 17 May 2017, 7:58PM
    Not too long, I would hope.

    The lists of square and composite numbers are out there on the web. 
    I hope he cut n pasted rather than retyping.

    8,144 are 'perfect' square Fibonacci numbers. '1' is considered a 'trivial' value and should be left off the list.

    The last list is the first few prime Fibonacci numbers.


    There's a pretty exhaustive list of sequences at https://oeis.org/


    Image result for number sequence funny

    BP ID: 1038         WC ID: 1476        VC ID: 18589     Tome ID: 3698   

    image

  • Axel L
    Axel L
    WC Mod
    Joined Mar 2013 Posts: 11,065

    No..Beard said:

    Not too long, I would hope.

    The lists of square and composite numbers are out there on the web. 
    I hope he cut n pasted rather than retyping.

    8,144 are 'perfect' square Fibonacci numbers. '1' is considered a 'trivial' value and should be left off the list.

    The last list is the first few prime Fibonacci numbers.


    There's a pretty exhaustive list of sequences at https://oeis.org/


    Image result for number sequence funny


    You found the secrets but I could make a more tricky list.
    I did include 1 because it can be written in the form a^p where p is a prime and a is a positive integer.

    Next time, I will give few a bit more tricky lists of numbers that may not be as obvious.

    All these list of numbers was pretty obvious because the answer could be found if you found the prime factors for each number.
     <|=  0330 1323 1103 1211 0312 1201 1302 1203 0230 1220 0200  =|> 
     <|=  0302 0320 1310 1220 1211 0200 1313 1233 1302 1210 0230  =|> 
     <|=  0200 1211 0310 1303 0321 1301 1311 1221 1312 0312 1201  =|> 
     <|=  1230 1221 1211 0230 0320 0301 1232 1203 1211 0200 1221  =|> 
     <|=  1232 0200 1201 0302 0200 1210 0320 1221 1203 0232 1310  =|> 
     <|=  0232 1221 1233 1232 1201 1302 1321 0232 0232 0332 1331  =|> 
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