Primechain Testnet Evidence
Live launch proof records
Indexed Primechain records from the live launch chain. Composite records show divisor evidence; prime records expose collapsed Pratt proof data. The index is refreshed from validator 2 by cron so this page does not load the validator network on every visit.
Indexed Height
24601Records
24602Primes
2726Composites
21876Record Browser
Showing heights 15528 to 16527. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 15539 | 15541 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":37,"exponent":1}]} |
fadc418d94da25861370967c16276ab58df7e8d43f217dae52fdbe718bbd1c1c |
| 15549 | 15551 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":311,"exponent":1}]} |
7ae24e30701b498881335330a0ea286f58f8ebab732df7398ac15c3c6b852846 |
| 15557 | 15559 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2593,"exponent":1}]} |
5ad4da834a845e70de498a026a7d9d2a961a987bec80611184d5d0d9bcffdb04 |
| 15567 | 15569 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":7,"exponent":1},{"prime":139,"exponent":1}]} |
1241c622355583d5f2042b4f7607d38ab5c3d10c4b47b9934b3276b1f89bca44 |
| 15579 | 15581 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":19,"exponent":1},{"prime":41,"exponent":1}]} |
c594fe875fda888249b3666f5a4b12b13a34fa0aa62b8115d1f8fe4799e50ef0 |
| 15581 | 15583 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":2},{"prime":53,"exponent":1}]} |
1e1e548a0a4bd575ad0b1bf080f4e19c7dceb01e27bcf9ddf30be669d4de1bfc |
| 15599 | 15601 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":23,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":13,"exponent":1}]} |
e221cbb072af4620de8b44102f049991e076acd56efb502ea197e8bff5d0d816 |
| 15605 | 15607 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":17,"exponent":2}]} |
66a4544fccaa9e0778138fba4e32c991b4d45d0ea562228f1501f90af51038d6 |
| 15617 | 15619 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":137,"exponent":1}]} |
c9d074053327d561aba7516aa9a840b3c92c177f4b99e0998770c6a4b0ef70f1 |
| 15627 | 15629 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3907,"exponent":1}]} |
8acf5fd00994a232196d2b1cf75b5039c9d0c353a68460863d42a5b70fc786a7 |
| 15639 | 15641 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":23,"exponent":1}]} |
a3da8de176b82d05ac8423a64eee2519dd26f1805f43fd211916f65985d953aa |
| 15641 | 15643 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":79,"exponent":1}]} |
f6f29f686014ee76b7f05ca73e0ea2cea8ade477dcc54b9492a7a641555f0827 |
| 15645 | 15647 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7823,"exponent":1}]} |
b030b713816ad81ceb69fcd344beb7f67bb794b1799da1df25409e088d4791fa |
| 15647 | 15649 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":1},{"prime":163,"exponent":1}]} |
393aecdf911878dc9a9a394fbdfdd1c15d213a69077875c6be7f0bc57afd5441 |
| 15659 | 15661 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":5,"exponent":1},{"prime":29,"exponent":1}]} |
d7d9170dd9a8700842b9557675d9b240191770c231edb6aabf0b1e1d8f97e799 |
| 15665 | 15667 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":373,"exponent":1}]} |
5c8d7d2c9c733a9febad7280b7c3f7ac47705573cc026ad9ea4c9d4436f5b8d7 |
| 15669 | 15671 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1567,"exponent":1}]} |
00dd15bd462fe17c1b279dfe4d45d47dfcf2564df3a7b09d9659ee241fadaa46 |
| 15677 | 15679 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":13,"exponent":1},{"prime":67,"exponent":1}]} |
a2aee98b67ae3426d830af02287f2a1a4da1693e170aee10dd81b3f97e319f58 |
| 15681 | 15683 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7841,"exponent":1}]} |
aa9faaef0a749ed35101a1133750bd65043fe119cc22042084f68d3b6c680c82 |
| 15725 | 15727 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2621,"exponent":1}]} |
392a2936567bf5d139aa548dc0316577d6836291728619bd4e96650729ef9e41 |
| 15729 | 15731 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":2},{"prime":13,"exponent":1}]} |
b52346b1d7dad9a93d811570f2faf9a18b992c7b0ea31ff87a0fecddba94e137 |
| 15731 | 15733 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":19,"exponent":1},{"prime":23,"exponent":1}]} |
e342c3442e6ca3620e417b56a66018cda8475d3e88731647fe953470ee0a2b67 |
| 15735 | 15737 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":1},{"prime":281,"exponent":1}]} |
53b55e4b6c77fa14e36f793c511fda86f520c7397f87dc9a3764848eb4e7d9ed |
| 15737 | 15739 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":43,"exponent":1},{"prime":61,"exponent":1}]} |
6038342f0b851dc4da130a34cda5784721a3c7fc93f2954c2f09f0579946d069 |
| 15747 | 15749 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":31,"exponent":1},{"prime":127,"exponent":1}]} |
f018e8e88527e041a136ba8073f34faafc499350536d8ebe564f1a260aec3ecf |
| 15759 | 15761 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":5,"exponent":1},{"prime":197,"exponent":1}]} |
b7391edb21717785ca0784a29b5a173178dd536994b23ec7428f3e899bd0dd95 |
| 15765 | 15767 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7883,"exponent":1}]} |
2b7f566ebe60d2f7d7bd046a950417c557d43085d62f158e288767ad361d88fa |
| 15771 | 15773 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3943,"exponent":1}]} |
2dab6e1fe1024429950f0d755d472aa965fe02386ad733866ddd155b5a00f52a |
| 15785 | 15787 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":877,"exponent":1}]} |
0a916c8d8f0058d09483ef6a1aa5c444a0fe87309383a4d7209521659786adfe |
| 15789 | 15791 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":29,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1579,"exponent":1}]} |
fc8bfef2fd6a2bd1badfe725a926d16ad0923dd00ce46e0d7f095b468cd18633 |
| 15795 | 15797 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":11,"exponent":1},{"prime":359,"exponent":1}]} |
90704c1687ed6dd56342a58d340ff6dc4623b490c9d3086aa3959c742b66de4f |
| 15801 | 15803 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7901,"exponent":1}]} |
2c5a1901f06f25c3d20eee9c8be704261737f8efc306b581efc79dae2d61f164 |
| 15807 | 15809 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":6},{"prime":13,"exponent":1},{"prime":19,"exponent":1}]} |
51299f8e40aca34eb3397d87f151798ae83f645e5aafd2051226acf06fd1ecc1 |
| 15815 | 15817 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":659,"exponent":1}]} |
df4d5729523d5350279079e1101e0afcac8da23f1db0d382c206ddd75dbe60df |
| 15821 | 15823 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":293,"exponent":1}]} |
0b93381624eae2b1d0e6bc64e8f3cde826d6f6f73933303e9cc6597141a448f5 |
| 15857 | 15859 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":881,"exponent":1}]} |
dd754352708674ad55e7da1fc6142a4ebddb71ea7304b611291742f74eb8086f |
| 15875 | 15877 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":4},{"prime":7,"exponent":2}]} |
66d2d74f098b5c5f6bc01632846f3efe3a648c33b8178593bbd56f0e450981bd |
| 15879 | 15881 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":397,"exponent":1}]} |
8507b27d1d8f934ad8b1363dab7455bc7829f9339e8abd31313b92a8c9b5c35c |
| 15885 | 15887 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":2},{"prime":47,"exponent":1}]} |
55ea8ddfbe6a021fa94b8f4470cc57fc30ab70655c75da4d246bae8ad33c2173 |
| 15887 | 15889 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":21,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":331,"exponent":1}]} |
4348ec279b485c688c6e3fc926bc2902df48f7e544c68941749efc7dea8c7f26 |
| 15899 | 15901 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":53,"exponent":1}]} |
0bb8ee91f6a9c59421cebc2919c937933b41b6dccae29f9a4ae83a937c7a799d |
| 15905 | 15907 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":241,"exponent":1}]} |
205de4a3420b561129dd103910294ffe365b1fbdad19760942888fdcd04fde7e |
| 15911 | 15913 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":13,"exponent":1},{"prime":17,"exponent":1}]} |
269b08158440a910f780b43557d0175948b8fb57f962fb7e6a1b61d3c28bc07f |
| 15917 | 15919 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":379,"exponent":1}]} |
2c83c1a4178137c46677f118d562765048b53ad1d2609ead0d732a04407927c9 |
| 15921 | 15923 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":19,"exponent":1},{"prime":419,"exponent":1}]} |
908b75073e1b0faf85ee64ba93ac93f60b022559f823665c6ce643c06fd55cd1 |
| 15935 | 15937 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":1},{"prime":83,"exponent":1}]} |
d44252a8a2e27ae8d433a2fed295c6e4fa01a50ae805a38852cfc3e940474dd4 |
| 15957 | 15959 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":79,"exponent":1},{"prime":101,"exponent":1}]} |
d38a922140e55bb96da94370509dd5c7a3bb61c02d2757e467eff001294dd342 |
| 15969 | 15971 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1597,"exponent":1}]} |
89ff0ae5ead66c64942dfc44b498d46bbff0d9b79d872da262fdd63a3799eed8 |
| 15971 | 15973 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":11,"exponent":3}]} |
0bbd8ffc7fa7435dc436db82a49d5694a579f05e118d05668294dc58d22bfda7 |
| 15989 | 15991 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":12,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":13,"exponent":1},{"prime":41,"exponent":1}]} |
8ebe86484db84ce757c4406eb7290b556e079835c5616ce7ec85ad63d169a927 |
| 15999 | 16001 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":5,"exponent":3}]} |
b39a3ecf656a142e5951fbafd03959af6b1b16ff22333b95df9ba64b42d9e366 |
| 16005 | 16007 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":53,"exponent":1},{"prime":151,"exponent":1}]} |
c17e2146104491c01afd1c6aa3711fab2ac56c2b5af993cfd57d09b96e788e88 |
| 16031 | 16033 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":1},{"prime":167,"exponent":1}]} |
7a8290588716100b9cf22fe7e4686f4d3fadb51484ba114a724b6133d5062f11 |
| 16055 | 16057 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":223,"exponent":1}]} |
12700c2da4d1a75779b9b985655f93bb68f9aa140c44bf5ffe387761414d3f60 |
| 16059 | 16061 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":12,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":73,"exponent":1}]} |
42ce5b5e1f3b8695c9e0e1ddbd9582462f1d6feaff865ac20a932a344fe1b0b1 |
| 16061 | 16063 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2677,"exponent":1}]} |
824d1ade95adc0fac3a3a9b6b9827cc4eda0681bc5256583dcec1691cece1e29 |
| 16065 | 16067 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":29,"exponent":1},{"prime":277,"exponent":1}]} |
3ca4c731963db4caecd4e72ff9c4a7962047c671f407119f1ad94a4249fa5d19 |
| 16067 | 16069 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":103,"exponent":1}]} |
4bb912776681b080aa809eed1df4614b56534fb3ea218b9e778d51e8ad4ee557 |
| 16071 | 16073 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":2},{"prime":41,"exponent":1}]} |
ccbf808458f779d970e1780a11a04303fd05b16d73f9a408ffaa89c736bf0ce7 |
| 16085 | 16087 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":383,"exponent":1}]} |
19668edbc5b4b46d109a789ab3085a00252b83dee06c7c2250e5c44511a37efb |
| 16089 | 16091 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1609,"exponent":1}]} |
e1b583fbcc88bf8879d7532322f03029a77b15a30ab3d9469082ab852ffc7117 |
| 16095 | 16097 | PRIME | pcpq1_1b1121f9336576e8cab379c9cf64bdb6599f7fcc |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":503,"exponent":1}]} |
47161d2275238435eb6ce292d3982d6db7bae9a9efa14e7a3b7e96ce429bb216 |
| 16101 | 16103 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":83,"exponent":1},{"prime":97,"exponent":1}]} |
9d3cd4d5128c09e17a263720d09261e9c1f9f52d22ae6efe33cbb0f2e2f089bd |
| 16109 | 16111 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":179,"exponent":1}]} |
75b7fe2d7ace4ff267c320e1f21b5385579f30c832572a220a4495a735d4edd6 |
| 16125 | 16127 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":733,"exponent":1}]} |
5c15de2ad672af544f0d8d1d0a747e70b4fb7cb484e6af171a713240be239957 |
| 16137 | 16139 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":8069,"exponent":1}]} |
26a6327c3eca91e8cfd95104bcffa53cc7dd0f17ee3606eee370f205ddafdbf2 |
| 16139 | 16141 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":269,"exponent":1}]} |
763bb73d16df3369553ed51258b5a9cfa12da0223686269bd22893d331d10b9d |
| 16181 | 16183 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":29,"exponent":1},{"prime":31,"exponent":1}]} |
aab36a11ed67d220a786ea1d40610cd29e32e695aee275925ed630e5c0f819ab |
| 16185 | 16187 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":8093,"exponent":1}]} |
09eecde452660bfbb55a0e0d07aba4ac002f68a128deb1c097918d62b860370d |
| 16187 | 16189 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":71,"exponent":1}]} |
80d39fa24491a21e2eb6c7d2eed8f4a7910eb55104c12cf6e43180e484ef9d86 |
| 16191 | 16193 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":6},{"prime":11,"exponent":1},{"prime":23,"exponent":1}]} |
a4f71582966ddbc8b4959904399326e66add28e0994fd140b8c62e62e66c6ac5 |
| 16215 | 16217 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":2027,"exponent":1}]} |
c760f2c041e5a81ac23f30219263d55d3398773c65c13feed08c29510c86682c |
| 16221 | 16223 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":8111,"exponent":1}]} |
57d94513915076709cd4d4785b9ab179751ff72835162d02dd08749905ddc690 |
| 16227 | 16229 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":4057,"exponent":1}]} |
8434a5b15916c02a233449d4ecfe3adcfcba5c265b342668909572d7df4d39c3 |
| 16229 | 16231 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":541,"exponent":1}]} |
f8a643857a5153eb1926b9cbbdf1f542cdf38fb1d3ceb9d30231ab8978533913 |
| 16247 | 16249 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":17,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":677,"exponent":1}]} |
be1cd03c0f103437852f953683050b007aca9eee17883ddf7906cedb44579c5f |
| 16251 | 16253 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":17,"exponent":1},{"prime":239,"exponent":1}]} |
0d161303b79ebb341aa300ef1c40af914693f8d507bedb2cc831dc709b280f43 |
| 16265 | 16267 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2711,"exponent":1}]} |
8f118af84bd98b1ebf04f35e861c3544cffdbacda52ef02b013eb33835b11002 |
| 16271 | 16273 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":2},{"prime":113,"exponent":1}]} |
f60a70caad54330fe5edf6a67d725414b1b417f106afd9f85b809b3036343834 |
| 16299 | 16301 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":163,"exponent":1}]} |
3307975f2a662340f4faa8040f4aab511b78a3cd764a5ba301d27d11577deb3b |
| 16317 | 16319 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":41,"exponent":1},{"prime":199,"exponent":1}]} |
2788462cb1e4916e8afd09e088a9b4df48fa5e491b79d14ae5950b9c74e37120 |
| 16331 | 16333 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1361,"exponent":1}]} |
da281dfdc4987e68cc94b718a16d680a049a26829f6ac901c09ea9c45e25150a |
| 16337 | 16339 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":389,"exponent":1}]} |
fc3098d2dc8d550c310981ea6065fc916e613b3c68c274a8722ec37c7a12fcb8 |
| 16347 | 16349 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":61,"exponent":1},{"prime":67,"exponent":1}]} |
cae117de3a1ef7184bcf89ed4124e4f890756541ad3344a3ac114b0db3caf4f7 |
| 16359 | 16361 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":409,"exponent":1}]} |
7669a68bc1303ff734d056c33a1a0d20e1e934a29f9b0844181ac8e2f0eba363 |
| 16361 | 16363 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":101,"exponent":1}]} |
6d3b6ae646aa2c8f2561261105a5f8648c1e889b161ee5a962c3c8243c2b877d |
| 16367 | 16369 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":31,"exponent":1}]} |
06b05ae23f14ccc07809dd341ea1120d6b822b5ea8b2337a97017bef0f70c294 |
| 16379 | 16381 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":1}]} |
520974efc0d87ef5bcf2be7a6906b5a27ce336c20d1f8911e7a5a8ba9455380b |
| 16409 | 16411 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":547,"exponent":1}]} |
bed150af0189dfdd55437e1c899f1f889c484e8ed71d5ed34c0907bf9fbb0ed7 |
| 16415 | 16417 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":3},{"prime":19,"exponent":1}]} |
bc301c996a9e4711b6ede9aa431ed1b63b39d0171e033a809632b4bf2939fbe6 |
| 16419 | 16421 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":821,"exponent":1}]} |
3ae5415a7e3b59209e27b08671f04ec9c0ff3984be92c7b9c03b1916ca7476d8 |
| 16425 | 16427 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":43,"exponent":1},{"prime":191,"exponent":1}]} |
44688b8d467b6d9d82559c173dee84b693f86681f7d069519ddd2d2e2e72b953 |
| 16431 | 16433 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":13,"exponent":1},{"prime":79,"exponent":1}]} |
e83e17b4c86ccf70c7bd5015fa848ab15be0e3342cd4042c98ef569dcc4565d9 |
| 16445 | 16447 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2741,"exponent":1}]} |
2cd642cf598c576688b82a468336b15c2e3bf8cc8d0362269aeaa13720003133 |
| 16449 | 16451 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":7,"exponent":1},{"prime":47,"exponent":1}]} |
5cefe5b85a0c43211dc9f270dc94b8baddbe4b8962a81d1d81a89952e7f6fb80 |
| 16451 | 16453 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":457,"exponent":1}]} |
3b51a0fca6d31df57859c2caf494110ca21c63a6f76b5e167c12e017cbf810ca |
| 16475 | 16477 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1373,"exponent":1}]} |
3851b9b542a28cc56e1cbce918d06cbf8f2ab53ccbd3af646529a62b61039b5b |
| 16479 | 16481 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":5},{"prime":5,"exponent":1},{"prime":103,"exponent":1}]} |
e79392fa6585be1aaada3390f983b21302e62d5ed7488e498a2b06621919d946 |
| 16485 | 16487 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":8243,"exponent":1}]} |
4b8defd1849bdb7bc85f5b9d5f42710ab1b95bfb2c0078a423803c690b193372 |
| 16491 | 16493 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":19,"exponent":1},{"prime":31,"exponent":1}]} |
a42fe98d9b7377b45d31fec9d4523a817f0743c614e36c791707ac1111cbdd19 |
| 16517 | 16519 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2753,"exponent":1}]} |
f24f5ab65ecb726c7b382e83feff0ad5701333944ea7e0f00843a10a85f53b5f |
| 16527 | 16529 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":1033,"exponent":1}]} |
cf01a1d893a53eb5b913838e3d361cbccfecedba487a6eeda7e61d8a8d29788e |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.