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
28547Records
28548Primes
3106Composites
25442Record Browser
Showing heights 27548 to 28547. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 28547 | 28549 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":13,"exponent":1},{"prime":61,"exponent":1}]} |
e05421cf737a257acef463c570a0ed569805aa3dd2536e7e86ac112b0726f357 |
| 28545 | 28547 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":2039,"exponent":1}]} |
c5d0c2ae3274fb6eb879dd5d1ee40946afe6f900448d296ec16f45d7866a1b3c |
| 28539 | 28541 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":1427,"exponent":1}]} |
419b9d06a71a02327546305ccfb1d342c10f7776f42b40e06f9f3ba6099d04df |
| 28535 | 28537 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":29,"exponent":1},{"prime":41,"exponent":1}]} |
187f4689ce64ea999d9d281b4c1068f662460deaa4bedc810c04ab7d074d7f26 |
| 28515 | 28517 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7129,"exponent":1}]} |
8650ea96ad59740b4eb2587e549cdb67a142a42dfd22c36c7363131a498673b0 |
| 28511 | 28513 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":4},{"prime":11,"exponent":1}]} |
7093c812833d84fb9493a682315effe3a3f5b41d0c3ace26bc61da469997cd35 |
| 28497 | 28499 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":14249,"exponent":1}]} |
c0ec1667d94212c11ce25ae617762c915e0eaff053db53a1bb0c633d38aac098 |
| 28491 | 28493 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":17,"exponent":1},{"prime":419,"exponent":1}]} |
51ce0810ae39b405618b58240a20e26072807ded8187ecafcb4807df9e1a41da |
| 28475 | 28477 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":113,"exponent":1}]} |
2f779aada1f77a63a179a8170c3318a510056cdeca9f0d70244a92d0776e3ad6 |
| 28461 | 28463 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":19,"exponent":1},{"prime":107,"exponent":1}]} |
f876e7b5cc4bb9c9ffb6f5ea64c3fcfa3b2194fda46399e7c35bd47ced48d86a |
| 28445 | 28447 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":431,"exponent":1}]} |
d4bcf15cbee079d5eff73fda91160990b6a5c6d638b86367149e92be6389a0ce |
| 28437 | 28439 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":59,"exponent":1},{"prime":241,"exponent":1}]} |
b9333b6e51d8a52766d1e3a5601c7567273b3165bef4577686d94ecdf43a9be6 |
| 28431 | 28433 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":1777,"exponent":1}]} |
8323b9845e51ca6bce75131fdaebdc11823b4037f31cef2c0910f0bfe4447f6d |
| 28427 | 28429 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":23,"exponent":1},{"prime":103,"exponent":1}]} |
328a136df029673f9d73b73ef7fc2d8ba42627d8d961d7b292e4aa932405708c |
| 28409 | 28411 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":947,"exponent":1}]} |
edffef66a535b250b9fac9cf2b287e6897c94ad41f3d822312e55768f935ab38 |
| 28407 | 28409 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":53,"exponent":1},{"prime":67,"exponent":1}]} |
a2ade20a089e065ca12f19590acc5727c323255bd3b6718f8683b51aea30a152 |
| 28401 | 28403 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":1291,"exponent":1}]} |
f1be4bd1bacab9f3563b641a75e9b0e6127bb56ddf8e7ae8d83eb9c4509e72db |
| 28391 | 28393 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":15,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":2}]} |
4c9855a19f0f13fb0e055a8c12fce9c3859cb35c6301ac7b3d871f4b530ba074 |
| 28385 | 28387 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":19,"exponent":1},{"prime":83,"exponent":1}]} |
5479ae9833d24a2638e4adfd819f78ef2260af6fc71ff2c844eb488cfbf030ce |
| 28349 | 28351 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":5,"exponent":2},{"prime":7,"exponent":1}]} |
40c9b2f06249f9e7658559f84e58063df1111979ea8412dbd01c9c3dbe94f87f |
| 28347 | 28349 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":19,"exponent":1},{"prime":373,"exponent":1}]} |
2e0a5c3ebad2c67a631f39abc90d3597e14c8dbea9a64138bf00c3ff002485b7 |
| 28317 | 28319 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":14159,"exponent":1}]} |
7b7dc1faebe78ec1b052dcc545fb336e145f44d1d78d4a2a545a9d67c0942db7 |
| 28307 | 28309 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":337,"exponent":1}]} |
d1d29cc0612c5d3b23dce26968ebe4485ed31d12b9cac6b0c6024d0f8622ef2f |
| 28305 | 28307 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":14153,"exponent":1}]} |
65ec7277eb64fd6480a4f2c8475bce87d65a4532e27df7c4afe3c51fe780ae58 |
| 28295 | 28297 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":3},{"prime":131,"exponent":1}]} |
a76f9e2547ef4dc1e68686d031714495da19410408f416ffcdc24cbd6ff842af |
| 28287 | 28289 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":7},{"prime":13,"exponent":1},{"prime":17,"exponent":1}]} |
ea9e35236e5ba4851bf128f4b66f5869f5d0ef7d1c0c7062dfccf846dd2a8856 |
| 28281 | 28283 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":79,"exponent":1},{"prime":179,"exponent":1}]} |
5577ab27f4f95246d2740f630d2bc87098dfd41c23c631c0e6dffed81fc16f1d |
| 28277 | 28279 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":1571,"exponent":1}]} |
0db32ccd46f23501eeafe2d42f279193ab4b057d4005e5d4fdad03f5457d1477 |
| 28275 | 28277 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7069,"exponent":1}]} |
8502f9118f84fe6e19aff410cb72b95962e5659a51c26bd5446970e4765808de |
| 28227 | 28229 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7057,"exponent":1}]} |
a1f76b8ea7078b1bd2ab98060adbfb50de3d725b2d04d0b4087a24ae9ec081db |
| 28217 | 28219 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4703,"exponent":1}]} |
d240eadb693e760960c41bd7eb2f327107b8a6cb64a5d9ca67fedd968bbdb8ff |
| 28209 | 28211 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":31,"exponent":1}]} |
d0058a5fa48e83dfc808a66327d25ff40827b2945f538a6337a3a35b08c3dca1 |
| 28199 | 28201 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":47,"exponent":1}]} |
297f6f936530357c2c9a2760723133108f6867eea913bdd775e25563226fce08 |
| 28181 | 28183 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":11,"exponent":1},{"prime":61,"exponent":1}]} |
c67d639a2cf7b3f09cfa7dbb0e4ad0a044aa66d0e9b253f43dc2f93673702968 |
| 28179 | 28181 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":1409,"exponent":1}]} |
364234a6d134978f2002dced51dcb1a6b940ece96b5e41c05aca74be68dcab1d |
| 28161 | 28163 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":14081,"exponent":1}]} |
33c6a4f58a718a8dfc83dc5f4d66fc84fd92d21f21fa7b2f2135b9bcb763a389 |
| 28149 | 28151 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":563,"exponent":1}]} |
a58a340fde1ac5207ed53bec4a7701943bec44d1a77de03770cd076c8006e514 |
| 28121 | 28123 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":43,"exponent":1},{"prime":109,"exponent":1}]} |
fabf25d4d68ee7a7a0f62ac8e0ef70ec4c030eb3358a04fbc63a90b535ce644b |
| 28109 | 28111 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":937,"exponent":1}]} |
4e196470a14b72020183ebace64d8320987dae676a7f9d731c0bd1ee91053b80 |
| 28107 | 28109 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7027,"exponent":1}]} |
0105de3ac9b3ea0cdad96229ebca9f6803fd76427040bb6f9cb2b0dbaac66187 |
| 28097 | 28099 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":223,"exponent":1}]} |
268e61293c7f81bbf7195c46c3892cedddd750555c2e20fe9ffb367b2293d39b |
| 28095 | 28097 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":6},{"prime":439,"exponent":1}]} |
19d46f358fa37a5ee8c3c8151a9636511481a86ade080f356850ed9ca61444bc |
| 28085 | 28087 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":31,"exponent":1},{"prime":151,"exponent":1}]} |
a12517ecfd771e88e1402af55ea622255666d0dd2709c084006dd649ad4e70a9 |
| 28079 | 28081 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":19,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":3},{"prime":5,"exponent":1},{"prime":13,"exponent":1}]} |
de050d284aefdad641e1dd9fead50bb594cc842008d07328c10e9f673d70ef31 |
| 28067 | 28069 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":2339,"exponent":1}]} |
53b5d9c99fbfee3353c3b0199cc35a933d8eed69694d7801c927f57ce2405d72 |
| 28055 | 28057 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":167,"exponent":1}]} |
f74a28bb3db6d58fbf8647036634a8aeed38206bf3ae25482536fff40474c191 |
| 28049 | 28051 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":11,"exponent":1},{"prime":17,"exponent":1}]} |
dfc6e888a13b66256439b551488ed73120899e4286d5fcb58c642ee51dfbf895 |
| 28029 | 28031 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":19,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":2803,"exponent":1}]} |
e92862c3f1a90524380f9dd90ca86aebde9c9597f65ea4a0ed1e77e2d8e884e3 |
| 28025 | 28027 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":173,"exponent":1}]} |
f1cea47c04a4ff9b2ead023e7e45c80adec2f0848ccd6b6a1e73abc762a4fc4d |
| 28017 | 28019 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":14009,"exponent":1}]} |
058c5205645f344fbb5ccf965a6ec8274ba10e4686943d3738aaf394a5b8796c |
| 27999 | 28001 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":5,"exponent":3},{"prime":7,"exponent":1}]} |
889b7ddaec60bbcfdd61857e62d9c0aaf991205976c25224b2b34bf53b82e1c1 |
| 27995 | 27997 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":2333,"exponent":1}]} |
70bd8ad7018338e289ca16987cb984ac72c95e915b8767fd29fcbb5137ba6a03 |
| 27981 | 27983 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":17,"exponent":1},{"prime":823,"exponent":1}]} |
22f57fd718a0caf62d0c5c4902c2b607a2e68e5ea5c6a259788caae1caed7dec |
| 27965 | 27967 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":59,"exponent":1},{"prime":79,"exponent":1}]} |
74415d672e7dffdfaf67ccdd303e6061b137864e0059de1a0e12975ba794d484 |
| 27959 | 27961 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":233,"exponent":1}]} |
a64aa92ee9eaea48e849e7e2c1b8a02b2b6edf821e3262c8f5007ec0afcbfe91 |
| 27951 | 27953 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":1747,"exponent":1}]} |
503023f7fedc31f5357d04ecb838528fb4e77f7381468441d68fe4508b311128 |
| 27945 | 27947 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":89,"exponent":1},{"prime":157,"exponent":1}]} |
82c226d92e30d6ca7b3ffba47eebb4080f899156dc90553e7f60a6fbfc9676ad |
| 27941 | 27943 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4657,"exponent":1}]} |
430b9ef5b5111d918ffa53b55e60f89bd6f0142a79d672dbce823ce17055c474 |
| 27939 | 27941 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":127,"exponent":1}]} |
77c703efeb3d540f497ee66ce8f584be05ebb2066cd24ca4e68eeb4f1076db0a |
| 27917 | 27919 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":11,"exponent":1},{"prime":47,"exponent":1}]} |
938e56467bdda82d3fd57e78bad13f6e14c125b5994aa54581ce737a4a5495bb |
| 27915 | 27917 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":997,"exponent":1}]} |
6ba293c787eb2742126944147a26aa8dfd939650b1e93904a061ac14ae68c83a |
| 27899 | 27901 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":5,"exponent":2},{"prime":31,"exponent":1}]} |
e94353536b09212cf7b6e9149fa25442d383c725b4e88b255d1e3fad6254fa9d |
| 27891 | 27893 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":19,"exponent":1},{"prime":367,"exponent":1}]} |
2e5fda62e84b3b6d6cd89ca5ea2fb12252768cbc80da7ce08dcd27c4f4c76254 |
| 27881 | 27883 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":1549,"exponent":1}]} |
a5896960cb8eed009973113844eb68249bd4d907397f9fde8f09959f6fd356de |
| 27849 | 27851 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":557,"exponent":1}]} |
51b3f8c046557b5f3b5eda295ad4915d0e75256708e39900fb59fdd0cab2e2e1 |
| 27845 | 27847 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":17,"exponent":1}]} |
273afd78db42c53c6b9e1df470c0aa0d04549756b696276ddfb447d43ec2488e |
| 27825 | 27827 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13913,"exponent":1}]} |
5f59aac168d38d910be7fda283b0bc2e8258ef3c74fdd0bf0d015d768f11d62c |
| 27821 | 27823 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4637,"exponent":1}]} |
27de4a86c17ad540c37dcf03160b70db3dab466498df8078c424026a2577bdc4 |
| 27815 | 27817 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":61,"exponent":1}]} |
e2f5e0934dc26a1eeefea7f0764c31d3f67cea2269655c9544194c217616a722 |
| 27807 | 27809 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":11,"exponent":1},{"prime":79,"exponent":1}]} |
4779cd6217af66d962cd3106c98ec1d47d67a41de9901738ddb19b03c39c1e80 |
| 27801 | 27803 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13901,"exponent":1}]} |
f6a68050519fc9fa26d2ba63e96226065246c3d7e1aa05b4526f0eb26b78ac52 |
| 27797 | 27799 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":41,"exponent":1},{"prime":113,"exponent":1}]} |
35d4c90c28478478e0881fecd93be92a8c6f953fd2913ba834eaf46d8a2382e5 |
| 27791 | 27793 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":2},{"prime":193,"exponent":1}]} |
7c0de07b4bcfdb35b9200fd4bab76e37b30a2ecdbe7e3040114799c7d0afa692 |
| 27789 | 27791 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":397,"exponent":1}]} |
b518f5bc63dc89b2fd003f1ce558e66bf5f61edd130b1a6c993c29c82307ebfd |
| 27777 | 27779 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":17,"exponent":1},{"prime":19,"exponent":1},{"prime":43,"exponent":1}]} |
f2425edd4c3ae392512c6add033c35270b0a3249ce9b709b33cdf9c67090df9a |
| 27771 | 27773 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":53,"exponent":1},{"prime":131,"exponent":1}]} |
5d6ff0ef2f435508a32374e1830d498e9b3b5b5fa8849fbf67384d4a76d5ae6e |
| 27765 | 27767 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":13883,"exponent":1}]} |
2ef68490940eeaf12abfc88c9a2bbad92a81368b2122c563802cca68b79582c3 |
| 27761 | 27763 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":661,"exponent":1}]} |
63f93c3d687dcede06082076933490f388109182c575a3ee024ac85aefae97a5 |
| 27749 | 27751 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":3},{"prime":37,"exponent":1}]} |
86c87aae103be8e6bf63b72fd6363c9c02ab52fcd4f53092278a4ab5a86e56c0 |
| 27747 | 27749 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":991,"exponent":1}]} |
cb64616073bcd799cf780947cc175cc7b19ce8f28c41c66cdd6dff52b6d9bf5f |
| 27741 | 27743 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":13,"exponent":1},{"prime":97,"exponent":1}]} |
f40a91c7e63d4e2d02d2e3c27ead5d1339562a60fcc8af3310e638c8db3a22fb |
| 27737 | 27739 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":23,"exponent":1},{"prime":67,"exponent":1}]} |
2cf487e9ab9d2f49a46aa7171167c1081dcfe5528318b7e728bc282d41c8caa4 |
| 27735 | 27737 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":3467,"exponent":1}]} |
f2e48101a695455c63fae59f69dbbbf9b53bd4f6d3bcce9a9a096e30586e8977 |
| 27731 | 27733 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":2311,"exponent":1}]} |
52453ca2a79728ecf4d5ea6f5769ab7be9ff4ad52b8532f913be15e2b65ef02e |
| 27699 | 27701 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":277,"exponent":1}]} |
c46039dfb5210198b77d3ad417f7bdfd13ef64d53dc7309c1fcc512aba5ba608 |
| 27695 | 27697 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":577,"exponent":1}]} |
04aa0ae6938171d29b07c927f8984ceb077184f61da8f71f4de7f239b21788eb |
| 27689 | 27691 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":13,"exponent":1},{"prime":71,"exponent":1}]} |
6ae04623d2a64cae730e8aaa108f41150606825f22a4d114a9d7a91cb7651549 |
| 27687 | 27689 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":3461,"exponent":1}]} |
b38152aede62580b3ac9cd9511d27266309dd7233570f23ac10f470299cff376 |
| 27671 | 27673 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":1153,"exponent":1}]} |
ba9e34ca547fa39baa5b8b22a96ac7eea1771b96fd148534ad947981b3277788 |
| 27651 | 27653 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":31,"exponent":1},{"prime":223,"exponent":1}]} |
cf6003447821b0b913d38ffdc7b10f1ba8081ee6de4b824128cc46e66d0d6527 |
| 27645 | 27647 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":23,"exponent":1},{"prime":601,"exponent":1}]} |
51a95543786034a350a4772f15eb0d16b175db958de810e073d182126758d5bb |
| 27629 | 27631 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":307,"exponent":1}]} |
57bd7edf1af4a66a148cbb670713dbbbd4b68c927a0354804dfb4a72a63adca7 |
| 27615 | 27617 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":863,"exponent":1}]} |
a7a30c89be65476bbdc719d07e9d699dbaec75c90a08735e15dd35d35a8cf660 |
| 27609 | 27611 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":251,"exponent":1}]} |
a8f89a26437a797b44ec92b5a52fc1273c1c1132c4a62d133a35243f38dfc072 |
| 27581 | 27583 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4597,"exponent":1}]} |
b56a5ff910e0211806d5daf4e2aedb7b63aa2f1bd6bfd5dcb16e50d115b2562c |
| 27579 | 27581 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":197,"exponent":1}]} |
c15c8ac8a531bcb97c29768bf63fa847f0460e67526b57fcb7affc8ce578354c |
| 27549 | 27551 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":17,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":19,"exponent":1},{"prime":29,"exponent":1}]} |
da888f0f84fbbe8b6f9674dd6fcb4d7e1650fb49387f10e4b9a5e138e44fbb94 |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.