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
24441Records
24442Primes
2714Composites
21728Record Browser
Showing heights 11355 to 12354. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 11367 | 11369 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":2},{"prime":29,"exponent":1}]} |
c9a9520c4e48c86294ec36048826db5826c0d22a05cb63fd465c3b731cbbc991 |
| 11381 | 11383 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":271,"exponent":1}]} |
b29aba62ba360fb3cd7aa9f881f589088826aeee92c8b4f5ddf982382e994b9d |
| 11391 | 11393 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":89,"exponent":1}]} |
6ff6c66d7d4ad00e6be330823cb52f113a3f95fa8aded5d910244bb1f680d8e5 |
| 11397 | 11399 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":41,"exponent":1},{"prime":139,"exponent":1}]} |
76fcc2aa883439e6300a1055d2cc4ba54928f58304f315c914c0e84754f44383 |
| 11409 | 11411 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":163,"exponent":1}]} |
2fa797da577051cbb4cee2eb00a551af45ac72b4a73335e74437397adde64e2d |
| 11421 | 11423 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":5711,"exponent":1}]} |
039181029abd4500eb31bcf62ddc61d077c8dd315c115b3ad209cac1709e1395 |
| 11435 | 11437 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":953,"exponent":1}]} |
f8c9e1f41acdc0144c09fd34abdc51604113c75b0e4a74913502afab77b87717 |
| 11441 | 11443 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":1907,"exponent":1}]} |
bbc9827685c6e1b90783dbcc99e0eacb60df69c71b4a7309ba025dd84050c560 |
| 11445 | 11447 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":59,"exponent":1},{"prime":97,"exponent":1}]} |
d6b8260587b94901940a7f5279276e53bf1681ecaee5fe80112ff11e37392688 |
| 11465 | 11467 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":7,"exponent":2},{"prime":13,"exponent":1}]} |
ec906ef644d1a73f0de057bedeb302adfe584e3801908d23e2de29041f7a6f41 |
| 11469 | 11471 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":31,"exponent":1},{"prime":37,"exponent":1}]} |
d6bc44b58606e959ff015180177623a3de96bcbd62929ea8591461e258fcedfe |
| 11481 | 11483 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5741,"exponent":1}]} |
975e80de293ea2d927d16d44395c4ac605933ea73d8de09c4584bcb70b74587a |
| 11487 | 11489 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":359,"exponent":1}]} |
34571900a1e3f932f069a9ea10fb27392624381b86814d2b8ab02ad18be69b75 |
| 11489 | 11491 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":383,"exponent":1}]} |
a6f172ec6592b0fa778ecd4748bd3f6a55ea8569b6ed0b07017dafede0f0a832 |
| 11495 | 11497 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":479,"exponent":1}]} |
be4023c3d34ed0c4df10830e4d83c8800718022c2dd66ce876b96c0d8bdf2f2d |
| 11501 | 11503 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":71,"exponent":1}]} |
89925bee72bc3722e040b364f80c11fa882df30a91305032ac9cfc0563f386b1 |
| 11517 | 11519 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":443,"exponent":1}]} |
569d9daf2ae821c84b578781aedea500c212b937b3d4979632e8f6157f8d99d3 |
| 11525 | 11527 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":113,"exponent":1}]} |
f4ffe77ed7925eae7de9901871b8f9f903c9857a08e4b76c7dfd795d4a3c1401 |
| 11547 | 11549 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":2887,"exponent":1}]} |
c5162c042394abf30540c78d1ab67482c3d39c1cfca6538225b6a0afe9902522 |
| 11549 | 11551 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":7,"exponent":1},{"prime":11,"exponent":1}]} |
0d4d05c9b3b7da1d012ae6940d03c4cf4ab4991bb9bfc03489440b07182824d5 |
| 11577 | 11579 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":827,"exponent":1}]} |
21a1660ef42de75ad21f9892e7fe8de2dc4e91dfe687db42fe7888971e731d45 |
| 11585 | 11587 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":1931,"exponent":1}]} |
157d96e8f2e0bdd4f28095117ff5e88b1d2627550363d867b577dbed7c18c808 |
| 11591 | 11593 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":23,"exponent":1}]} |
6c2bba2b4f701cf3336b519205abb1181ecefb57110af1b62b82076a58053470 |
| 11595 | 11597 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":223,"exponent":1}]} |
f2f0b011aff9192e2ab67baab7cb323b992dc91fac4a829e668b2930d4cd8e24 |
| 11615 | 11617 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":1},{"prime":11,"exponent":2}]} |
293e1d3fd251d5b38c56088051a7bb7f0ec2c1adb6353733a79d1ef6b518d3f1 |
| 11619 | 11621 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":83,"exponent":1}]} |
ae34126f79cb4c89824cb80181c6fc126288dcc5d529a4ddfddf3bffe6b1bf59 |
| 11631 | 11633 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":727,"exponent":1}]} |
3802c310c10e4c7990cdd7af670e89f04fe5e03e44ceb370dd10a96d05330ff9 |
| 11655 | 11657 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":31,"exponent":1},{"prime":47,"exponent":1}]} |
d9aad40a9c59e585d0d1e18fa3bc8322e47116cbfc98711c8ca8cd4a5939cb37 |
| 11675 | 11677 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":139,"exponent":1}]} |
4ea972c32f7c44d65c653b5b2282b38fb5c19905940d7a366702c29aac47a884 |
| 11679 | 11681 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":5,"exponent":1},{"prime":73,"exponent":1}]} |
d05655dbbf7d473fce8a5afc94cb0a5a01aeb4891d5add3a178a275a0ee4ca92 |
| 11687 | 11689 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":487,"exponent":1}]} |
ff021addc869fcd54bc2c538cd22eb098784356fa93065e96effa23afb026598 |
| 11697 | 11699 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5849,"exponent":1}]} |
f7389e620fc09ef6f641fc7817ab7b148611296ef12feb6e04a9b767f215abb3 |
| 11699 | 11701 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":5,"exponent":2},{"prime":13,"exponent":1}]} |
aeefed6897743ecbae73b53d9942bfe4cf7761f6018d9dd2df57f9e0e57bd7f3 |
| 11715 | 11717 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":29,"exponent":1},{"prime":101,"exponent":1}]} |
e94c163168099bc91bd9dd26c0412b767393596285b658bfe56dbac1cbfe9064 |
| 11717 | 11719 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":7,"exponent":1},{"prime":31,"exponent":1}]} |
a9d99373ce25da435a29a7ec4b313e3081f3d512af727cde6cc98c091ae0e9f0 |
| 11729 | 11731 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":23,"exponent":1}]} |
eb86b5efdaee4e278cf9608c12db203ec459d6c6ad33ba8563dd5727938ce3e1 |
| 11741 | 11743 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":103,"exponent":1}]} |
19d7d906cd1284f0b92587178fb48cd2f3118e1161f7e432f21b1bbeb30b613e |
| 11775 | 11777 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":9},{"prime":23,"exponent":1}]} |
ae94a230a9a456f57a7dce425f7f71f59e5e05548124c280b41d13f4755355ad |
| 11777 | 11779 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":151,"exponent":1}]} |
eeaac5e5df81b8e02e30e61958e597d7526aa23b4d22657c99315875053e4b09 |
| 11781 | 11783 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":43,"exponent":1},{"prime":137,"exponent":1}]} |
13c79230742d8722d4c1a5bc64263e333518678f990b2526ddae47658303ffd2 |
| 11787 | 11789 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":421,"exponent":1}]} |
e8f9602fe77c53be4d7fbea8fe4a82a70c8302c06362a8de21f3348d31eb94c0 |
| 11799 | 11801 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":2},{"prime":59,"exponent":1}]} |
4382f505096d66bac239f76be020abc1e0c368cac875ece7f8ac5430a0b7fc3e |
| 11805 | 11807 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":5903,"exponent":1}]} |
4bac9daf239b9afa6d948e93eeb3d2805a13ac39f4f7e0a4e3cd4cfc1c1c561b |
| 11811 | 11813 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":2953,"exponent":1}]} |
41cb057a5b15a192da662c6edcaf51f1cc4e814cb6e72751c3aa0a4f5d813afa |
| 11819 | 11821 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":197,"exponent":1}]} |
68af83e7c9f72b1b3cbcb9961e5ec018c91c77daea92bde1907903c20795bb56 |
| 11825 | 11827 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":73,"exponent":1}]} |
05888e85e94cd2e4bc95cc849592c72c7ba7de1a1e35ccca3fa4344660cce11a |
| 11829 | 11831 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":2}]} |
6f3f6f2155cacefc2e9cae61a889b265588f4c3ed4251457b6c3d2201d06d642 |
| 11831 | 11833 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":29,"exponent":1}]} |
d57a0b3a09b14111ccab4956bd2dab8073325e168d5438ff1c1f60b61b57389d |
| 11837 | 11839 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":1973,"exponent":1}]} |
ae43e762f9cea4050b469d6090e9ed700f50976e3a54c3d9b06b708ad2e51537 |
| 11861 | 11863 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":659,"exponent":1}]} |
a15292ee98092a364bfbbe484cb0c7c9d89695504375e14141796dadd05317d9 |
| 11865 | 11867 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":17,"exponent":1},{"prime":349,"exponent":1}]} |
091bb5fc27b8e97dbdff2486cfdae11976fc2234ce787fd6270bdb149e2f4de9 |
| 11885 | 11887 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":283,"exponent":1}]} |
674cd9e6406f463374751ee7746b059162d6ae9c620fa111d9bb67f7ae741919 |
| 11895 | 11897 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1487,"exponent":1}]} |
007f5c38d7e00354b471b7890d248b59706b33af4fc6efb02cedc786ad4daaff |
| 11901 | 11903 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":541,"exponent":1}]} |
df655528780c6b77cabf9729222796e0c0e9179df33490627440765cd9ef72c3 |
| 11907 | 11909 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":229,"exponent":1}]} |
99b81af5f46ec0f5228cf5570b46c5d7b4a7d9cc11c09864cb3ca94d5aa382b1 |
| 11921 | 11923 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":1987,"exponent":1}]} |
9323739ae42c2a84d09dafae131b20c0750ea549093286117a9ee7b6efd61d8a |
| 11925 | 11927 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":67,"exponent":1},{"prime":89,"exponent":1}]} |
20f63c4ecee5bdde50bb140e6df36345d1359581f94092edb16df7282bd12225 |
| 11931 | 11933 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":19,"exponent":1},{"prime":157,"exponent":1}]} |
45cc9412cfafe7779016039b798174db669c6429edbbf1f4a2b2c5e4e5ea9e06 |
| 11937 | 11939 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":47,"exponent":1},{"prime":127,"exponent":1}]} |
5fcc41ff606c43da1d025bd5e843d1296d9950070be4cf3d284da2db0de734c8 |
| 11939 | 11941 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":199,"exponent":1}]} |
f91ee20fd2f8ead2d7c689be0116020e36cd06d8709a32603f627a44862d784c |
| 11951 | 11953 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":2},{"prime":83,"exponent":1}]} |
255f95e8a83a53912a23c98d3b8eef6cc950c9868c71667275375d9b9ebf9866 |
| 11957 | 11959 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":1993,"exponent":1}]} |
5fe7e804e81a0549010e4df9af0f68b69ba98200d18a3fbecc788bf3f75b12cd |
| 11967 | 11969 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":6},{"prime":11,"exponent":1},{"prime":17,"exponent":1}]} |
0e4e575adf31e80107dc79df761ce62cae534c9187779a43f31e4e63259e8c1e |
| 11969 | 11971 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":19,"exponent":1}]} |
c2b9cfbb614be6ade0d9e25728856ad183ff6d20fc6f6c01447cb78a5501dc0b |
| 11979 | 11981 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":599,"exponent":1}]} |
265a10ab5eaa4f8f9b3abf99ec44059c2288b400922b7689f0be89e9d5355388 |
| 11985 | 11987 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":461,"exponent":1}]} |
fdda4e219a53d0b12329e4b9687e254e2bb1a931ca81d5dfc35c6abb8aa43143 |
| 12005 | 12007 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":23,"exponent":1},{"prime":29,"exponent":1}]} |
9dc293787a121b7876da342afbf3a59a2ffa19535d035b8b2e281e0f098643b9 |
| 12009 | 12011 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1201,"exponent":1}]} |
e4fae31e5506fbd90067789478babc2e959ca5f243e0f614e4b6da3735a803ff |
| 12035 | 12037 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":59,"exponent":1}]} |
0a202703e1007d76ba6040b069dd43c2fd67d133623a52178bdfb98ded67cd4b |
| 12039 | 12041 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":43,"exponent":1}]} |
7172c626f68c399c1ae5651b1d968f1f3c3fdfd3736255317c3102b8ad8e6039 |
| 12041 | 12043 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":223,"exponent":1}]} |
e482517f2ee95800ca7773a3df8b162e7770c1612947e852d03801ee8f4164ea |
| 12047 | 12049 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":251,"exponent":1}]} |
f97c8e78c221cd9c3e17c0090273281077c8fea021c6858ccb4e66352f4b381b |
| 12069 | 12071 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":71,"exponent":1}]} |
edcb45c2c46d6daa9652fa47a3838dada8117f6a1b3b0fbe3ba5cc6a173a08ec |
| 12071 | 12073 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":503,"exponent":1}]} |
ccc502940bdb6248fd1db540aa1c4a94d5433f76e483c45cfc1a25a2911a18c2 |
| 12095 | 12097 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":3},{"prime":7,"exponent":1}]} |
b2112a09b7309179aec0f4db3694edac4a6c08f78daa630def621f679b97734f |
| 12099 | 12101 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":11,"exponent":2}]} |
c5ecae1d5f006119fdb314e80adcad23bf4c4f71e7b30691e96b2f9ef253318f |
| 12105 | 12107 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6053,"exponent":1}]} |
7823e49e614636f12fe53833bda841c3ebbeeb23e87bccf0c90b86f895eca953 |
| 12107 | 12109 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1009,"exponent":1}]} |
210c057cbf3b398a8d7ef5579d7d6586ae1abe5bfa4b3219697857c4786839c3 |
| 12111 | 12113 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":757,"exponent":1}]} |
cdefa3f5a47c56979f22be38fb7fbba5a101d5823509879bc2708e7d126d15de |
| 12117 | 12119 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":73,"exponent":1},{"prime":83,"exponent":1}]} |
729f6cf3ad9f80e03203452b5c3a0fd5028af219d3263935ae39c0d278e281af |
| 12141 | 12143 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":467,"exponent":1}]} |
6352d89104bbb1e787312c7f0863636ecc4d5f67df3f8c2c42cff7e6a1e338f6 |
| 12147 | 12149 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3037,"exponent":1}]} |
c6b43beed930e08127f5a3ec680ac3fb2824037f4891514707607c7b792a7fd1 |
| 12155 | 12157 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1013,"exponent":1}]} |
3fd0d53ad11f6b0b9c156e10847033cfab3622d2335061a3fa1a6de37dc51930 |
| 12159 | 12161 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":5,"exponent":1},{"prime":19,"exponent":1}]} |
5e3bc9c7083711ba2a010e604b962dbe1e0ceca846df69a8bb0ff92329acb4b7 |
| 12161 | 12163 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2027,"exponent":1}]} |
a3dcbd20d6e8ac9d0b018e38428c8b1c99b20e87ac14e4a8b5cc1b1bec544428 |
| 12195 | 12197 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3049,"exponent":1}]} |
7eb4937af1b1f6ef1bf43e2a331067179e8eee75aeb7f595a3bfd1f143a605e9 |
| 12201 | 12203 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6101,"exponent":1}]} |
7574f0c900b86868b83ea359ebc5e6948d6f70377e1f9da1316b61d51f016fe2 |
| 12209 | 12211 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":37,"exponent":1}]} |
708465be050318555c4a428fd9a378b882cca3748e5fdabaf1a376a2017cc501 |
| 12225 | 12227 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6113,"exponent":1}]} |
da533b143d52449e9538ca45423beb4356bc6ad0e677f092713d65977f087e43 |
| 12237 | 12239 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":29,"exponent":1},{"prime":211,"exponent":1}]} |
b38e0be99cf7445fcaeea781b8e1feed26c8aa4a4bde94a5e32ae2307e7c5880 |
| 12239 | 12241 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":17,"exponent":1}]} |
7e8c257eb083aa5cca82325de0886ba019c662a460e01c4683e86495c6e7cc6e |
| 12249 | 12251 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":3},{"prime":7,"exponent":2}]} |
eb7e4bb5b3486aa58409fc1c2607b67cc8558d80f6e630a8a1d19e0e98fc4f9f |
| 12251 | 12253 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1021,"exponent":1}]} |
c8f26de98ac678156234bacbbc3ddd85535ec5a83c251e5c43f3557d566cb925 |
| 12261 | 12263 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6131,"exponent":1}]} |
5b8fb9cb92ef6c623bd9061906136fded8185b163bdb09f658827b789662ead4 |
| 12267 | 12269 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3067,"exponent":1}]} |
878039412bfac9c124fc6902d244c4ef649202291c16da8ee42c5ce5ffb6672e |
| 12275 | 12277 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":31,"exponent":1}]} |
55373ac66e3d05c56e74a26f590962ebfbeba9fb3966493f10946bca34633c6a |
| 12279 | 12281 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":307,"exponent":1}]} |
54460fb7179bd2ae6785c5cff582cc1bdfa5e19a8793ffc3e6b160991aefd668 |
| 12287 | 12289 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":12},{"prime":3,"exponent":1}]} |
e9baa9f0b32372bd2b679d49957db912d6f914541d5262f31112f7041fb5122f |
| 12299 | 12301 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":41,"exponent":1}]} |
275ef41db7216997c119936f1cc77e350d79408859a462efcd41e37b031cb6ce |
| 12321 | 12323 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":61,"exponent":1},{"prime":101,"exponent":1}]} |
e5b3de5b9426f2d8d005ca27b0326baffd77dba4e925ad8919f44c3cc504a9c8 |
| 12327 | 12329 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":23,"exponent":1},{"prime":67,"exponent":1}]} |
048c6170d4090442365465ef973004621f46af4dde0c590e328fccaf9e9badeb |
| 12341 | 12343 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":2},{"prime":17,"exponent":1}]} |
6256423525257c19a2f5316cf4c13b4827e8676866ba8e2d056c37a7102c7cde |
| 12345 | 12347 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6173,"exponent":1}]} |
6a57f0e8f7f674c16d671379e196ffc0ecd752440cb8b36ce34f026cef6e394d |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.