Implementation
const List<int> zetas = <int>[
2285,
2571,
880,
913,
2439,
360,
501,
1326,
147,
2187,
1477,
1188,
2051,
1562,
893,
624,
2105,
2199,
318,
1968,
1296,
278,
2381,
2246,
144,
1397,
1658,
1210,
193,
1575,
1160,
2029,
1799,
377,
2000,
609,
2202,
1401,
1707,
1001,
1268,
297,
1852,
1352,
261,
567,
1151,
2004,
2485,
3,
608,
1500,
2102,
1221,
294,
893,
2453,
1018,
1307,
142,
1468,
1538,
353,
2139,
535,
1640,
130,
1791,
139,
1757,
995,
645,
2133,
2471,
661,
1752,
2393,
2169,
275,
1218,
1921,
1210,
2132,
1781,
216,
321,
1845,
1151,
2339,
1378,
962,
306,
2121,
301,
169,
1696,
2180,
287,
1179,
1315,
2030,
190,
2471,
2133,
1791,
1640,
535,
2139,
353,
1538,
1468,
142,
1307,
1018,
2453,
893,
294,
1221,
2102,
1500,
608,
3,
2485,
2004,
1151,
567,
261,
1352,
1852,
297,
1268,
1001,
1707,
1401,
2202,
609,
2000,
377,
1799,
2029,
1160,
1575,
193,
1210,
1658,
1397,
144,
2246,
2381,
278,
1296,
1968,
318,
2199,
2105,
624,
893,
1562,
2051,
1188,
1477,
2187,
147,
1326,
501,
360,
2439,
913,
880,
2571
];