@Tepan
Can you explain a little bit more your formula ?
First thing first it's funny someone really spend their time to this like Mr.AKITO.
I want to explain but I'm afraid of appearing smarter than my friends who are great at spending their time creating and ensuring programs like search using the hash of public key 160 and even compressed public keys, will feel offensive to them, this is just my thoughts for 2 years paying more attention to this forum and puzzle.
but okay if you want to.
old_key = 4563 -- was from "95823/21" 21 is divided by count the 95823 into 2097151, have 2 option 22 or 21, 21 is precisely with target.
old_range = (65536, 131071)
new_range = (1048576, 2097151)
result :
[1245699, 1660932, 2076165, 1400841, 1816074, 1140750, 1555983, 1971216, 1295892, 1711125, 1451034, 1866267, 1190943, 1606176, 2021409, 1346085, 1761318, 1085994, 1501227, 1916460, 1241136, 1656369, 2071602, 1396278,
1811511, 1136187, 1551420, 1966653, 1291329, 1706562, 1446471, 1861704, 1186380, 1601613, 2016846, 1341522, 1756755, 1081431, 1496664, 1911897, 1236573, 1651806, 2067039, 1391715, 1806948, 1131624, 1546857, 1962090, 1286766, 1701999, 1441908, 1857141, 1181817, 1597050, 2012283, 1336959, 1752192, 1076868, 1492101, 1907334, 1232010, 1647243, 2062476, 1387152, 1802385, 1127061, 1542294, 1957527, 1282203, 1697436, 1437345, 1852578, 1177254, 1592487, 2007720, 1332396, 1747629, 1072305, 1487538, 1902771, 1227447, 1642680, 2057913, 1382589, 1797822, 1122498, 1537731, 1952964, 1277640, 1692873, 1432782, 1848015, 1172691, 1587924, 2003157, 1327833, 1743066, 1067742, 1482975, 1898208, 1222884, 1638117, 2053350, 1378026, 1793259, 1117935, 1533168, 1948401, 1273077, 1688310, 1428219, 1843452, 1168128, 1583361, 1998594, 1323270, 1738503, 1063179, 1478412, 1893645, 1218321, 1633554, 2048787, 1373463, 1788696, 1113372, 1528605, 1943838, 1268514, 1683747, 1423656, 1838889, 1163565, 1578798, 1994031, 1318707, 1733940, 1058616, 1473849, 1889082, 1213758, 1628991, 2044224, 1368900, 1784133, 1108809, 1524042, 1939275, 1263951, 1679184, 2094417, 1419093, 1834326, 1159002, 1574235, 1989468, 1314144, 1729377, 1054053, 1469286, 1884519, 1209195, 1624428, 2039661, 1364337, 1779570, 1104246, 1519479, 1934712, 1259388, 1674621, 2089854, 1414530, 1829763, 1154439, 1569672, 1984905, 1309581, 1724814, 1049490, 1464723, 1879956, 1204632, 1619865, 2035098, 1359774, 1775007, 1099683, 1514916, 1930149, 1254825, 1670058, 2085291, 1409967, 1825200, 1149876, 1565109, 1980342, 1305018, 1720251, 1460160, 1875393, 1200069, 1615302, 2030535, 1355211, 1770444, 1095120, 1510353, 1925586, 1250262, 1665495, 2080728, 1405404, 1820637, 1145313, 1560546, 1975779, 1300455, 1715688, 1455597, 1870830, 1195506, 1610739, 2025972, 1350648, 1765881, 2097151, 1090557, 1505790, 1921023]
i mark that with red color, just because as you can see, it's nearly with real decimal value to search, i test it with 10-20 puzzle, there is always a very close result, but need to search and wait for time.
for someone if ask how you can determine the first search is 1811764
in real condition with my codes is marked into hex, and groupped for search ranges, so it's from small value to larger value, and sequence ranges but random search on ranges.
searching puzzle #21 key
1BA534 >
1811764.
[...snip...]
@Tepan I still dont understand the sequence of values. Are just random values? Or are they following a pattern using the number old_key = 4563 ?
Also you select the red number based on the private key of the puzzle 21 so... what if you dont know it ?
I'm just trying to make sense to your message and trying to replicate to other puzzles