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
24258Records
24259Primes
2699Composites
21560Record Browser
Showing heights 15190 to 16189. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 15191 | 15193 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":211,"exponent":1}]} |
c627aaef2b9a91f44009c54c885b8bb911e04461f90215a0da6ccc9281eb18f9 |
| 15197 | 15199 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":149,"exponent":1}]} |
e0cf5df1462d07badc294eab0de01c4284827e219df776aea0dc75e2f1d1adc6 |
| 15215 | 15217 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":317,"exponent":1}]} |
6e8e6eb5f29237c44b2b572373e387bed13f06a8c74e304c053546b56f777c81 |
| 15225 | 15227 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":23,"exponent":1},{"prime":331,"exponent":1}]} |
3e9e02db229bea7c14f2b2630f82d1f7d6e17cf6397bd5e13af205c3d0949116 |
| 15231 | 15233 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":7,"exponent":1},{"prime":17,"exponent":1}]} |
75e067279a404188bfba2f31f70d757da28a316c650f4b50d534795c3b90fc28 |
| 15239 | 15241 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":127,"exponent":1}]} |
6ef196cabe70445566c72ce62564b7c6b365f0211c2e84b6199a0b3c3fcd67f2 |
| 15257 | 15259 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2543,"exponent":1}]} |
d57970f799f78fdb8b77ddeaffc9f85ee904ddaa504e548c3f1ff4c46e075e84 |
| 15261 | 15263 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":587,"exponent":1}]} |
df6b3c137d95d00af9b8d03568c39cab71002308880efd03219bdd1e3eab03cb |
| 15267 | 15269 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":11,"exponent":1},{"prime":347,"exponent":1}]} |
fdb99c64d6b7983718cd299e8b56bce3189a8560d4daecd3cf39dda6762e0998 |
| 15269 | 15271 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":509,"exponent":1}]} |
7a9cba45d0f8b1965bbae7d789b7aff6302903e1080313b5eafc3394836577ea |
| 15275 | 15277 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":67,"exponent":1}]} |
a200d17df034fff592c9536ab15147976ca8be47bd2a7fca5a168927309daec9 |
| 15285 | 15287 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7643,"exponent":1}]} |
154ce4157053ce241d035eebcba51e6fcd3d2e3dc046c61dc2c41d97fc98f5ba |
| 15287 | 15289 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":7,"exponent":2},{"prime":13,"exponent":1}]} |
d8ae8d71871966700cf3b1abb5470fcc8f3a86ecc2ac60574568f29e63a8ce91 |
| 15297 | 15299 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7649,"exponent":1}]} |
109ffce427c59bfd01917e7b93ced2f1ec849e6f804ba8b46ee012ea2bfeeb13 |
| 15305 | 15307 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2551,"exponent":1}]} |
e3d2178edc184e2296543d064000604c53e610fcba106d3616945956bab6cca2 |
| 15311 | 15313 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":29,"exponent":1}]} |
490d97a19c1a36d93cf6da8966176c367ad9f3802ceace8033ef03e78570f81d |
| 15317 | 15319 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":23,"exponent":1},{"prime":37,"exponent":1}]} |
aceb8e83805fa02e551635cfee1876b29c06ba00f23c8c65b4937851f77f9fe5 |
| 15327 | 15329 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":479,"exponent":1}]} |
64cc99c1514e4222b771b66b0e8a1ba346ef997ade5dabfe19ab2ea3d9ed5eb5 |
| 15329 | 15331 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":73,"exponent":1}]} |
6496662a3ee72919df67944ac5f30d2c93e9e30e66f8a6ec50e43e838be1eaf4 |
| 15347 | 15349 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1279,"exponent":1}]} |
594bc605e6e95d23df10a9bf94d84a6ea8b1f0785a57044895d5284bd9ae71ed |
| 15357 | 15359 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1097,"exponent":1}]} |
128f32bb65703a134f02e89a6942fedc340311bb831723a478d36a4d49446f3d |
| 15359 | 15361 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":10},{"prime":3,"exponent":1},{"prime":5,"exponent":1}]} |
b5a0fb35b62e136f6af4e71e000d4b5fd6ed429d099686f8607f015ec14f5603 |
| 15371 | 15373 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":61,"exponent":1}]} |
34d393c962c35c9b74a48e12e9056d029dee2011c2bbc44129d4e1053d6838c1 |
| 15375 | 15377 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":31,"exponent":2}]} |
b30c7161652898dcdb278777064d3ea65ddb53606a746df8551d8018966a5567 |
| 15381 | 15383 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7691,"exponent":1}]} |
87ba0ac029c0f06fee2e382bb30c50b1663c82b946b013d659a10b006e2575ae |
| 15389 | 15391 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":12,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":5,"exponent":1},{"prime":19,"exponent":1}]} |
30b0e8f36a2f08e39da4855304ae12315d6d19096a0572e9c622c5fdb02caa85 |
| 15399 | 15401 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":2},{"prime":7,"exponent":1},{"prime":11,"exponent":1}]} |
28d3ad07f4573d70d58e52903ccd483f51387258e26d1a258d24c622d8fb9508 |
| 15411 | 15413 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3853,"exponent":1}]} |
afc8edf8d4280fea365104da1ffbd3b44a80428c53251076d3e42e93484dabc7 |
| 15425 | 15427 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":857,"exponent":1}]} |
2f10402cac80078321de1d74546cc02f662a3194997730c990a8832cd7f8d80c |
| 15437 | 15439 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":31,"exponent":1},{"prime":83,"exponent":1}]} |
44e63244b1df70e0e6c3a1063db8c92d47d6c7a702e72d0dfec459bab833ffaf |
| 15441 | 15443 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1103,"exponent":1}]} |
dcc6136333bb995d4fdbf37ea4864f0cb3830556c2c596b6bfc6f0f46aaef4f8 |
| 15449 | 15451 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":103,"exponent":1}]} |
19a7fb6f0fda7087e606d56f3cade5e13f8f82be70672403040f5a9b9b5783fe |
| 15459 | 15461 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":773,"exponent":1}]} |
65f562f5012f77daca7d659cf54ed5fece4742510727377bf336f11a08681e59 |
| 15465 | 15467 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":19,"exponent":1},{"prime":37,"exponent":1}]} |
270be16678e98fa0a6e6e64498965d4034e95d7818f4d835bbb968366a6725f9 |
| 15471 | 15473 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":967,"exponent":1}]} |
b1c25b790127b534ae4eb5df258054c2883ccb0317d1a5a2c0b6366d94cf0955 |
| 15491 | 15493 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1291,"exponent":1}]} |
a50e66214401dd8a5d6f1413ba380f017cbb0b2fb755ff6f38e65f9e6c5d0393 |
| 15495 | 15497 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":13,"exponent":1},{"prime":149,"exponent":1}]} |
e51f58654a06b2e5675eda6952646e766215ce8c863ccd0105f7795d60df6b67 |
| 15509 | 15511 | PRIME | pcpq1_eb0a098ba133766804a993510cfec3a91d2ae09e |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":47,"exponent":1}]} |
5d7219171e680028a074c6b9a33625b52703f89484a0e86037e7d724a4cde598 |
| 15525 | 15527 | PRIME | pcpq1_94e624ce7ec0725e1d55c6fc983c476ba89fbf67 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1109,"exponent":1}]} |
55c07af4a3e4d0785b2938ca7fbf4fad00a745e35bc8c7fe40ff1259847e939b |
| 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 |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.