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
24003Records
24004Primes
2669Composites
21335Record Browser
Showing heights 12004 to 13003. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 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 |
| 12371 | 12373 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1031,"exponent":1}]} |
bd857a33d282b8872271fbc99431cca97bb8c49336095cf1cfbd5c3cc64d941e |
| 12375 | 12377 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":17,"exponent":1}]} |
eb33c84aadbed351dc1e39f4cf9d2b8d6fec777817843b763deebeeec2e6c4c6 |
| 12377 | 12379 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2063,"exponent":1}]} |
eed8f20e8d1102cee20a85acea0199e17e9b3e68de95264b799dcc0f77a51e21 |
| 12389 | 12391 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":26,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":59,"exponent":1}]} |
4e7ff3d25d13d475d8e3bb416c0debd12cdf5159c39b208b2d7d2bb214c8d009 |
| 12399 | 12401 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":5,"exponent":2},{"prime":31,"exponent":1}]} |
a239ac8a1382cb8064e251deaeff143291181f90cc90f4b1a1daafc3a292b519 |
| 12407 | 12409 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":47,"exponent":1}]} |
58bcc9b7343166b09f496afc52947f3c39cb354ced2eec1e009a91421e31a76d |
| 12411 | 12413 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":29,"exponent":1},{"prime":107,"exponent":1}]} |
2e1c91a56450b46f4578d81af6424ace5dcd01fe42722181158e3e6a9fb5b4ac |
| 12419 | 12421 | PRIME | pcpq1_618068e5ea1311e9e8f8cbcb6562f0871e114c17 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":5,"exponent":1},{"prime":23,"exponent":1}]} |
4e2dfe6f9b8a76550866db3fa4ab6e96723a831f719f7571680e2df8cf01a005 |
| 12431 | 12433 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":37,"exponent":1}]} |
6f8c41f8f600bd21e1684fb84830ad4038e0b8230f8cc30c00d36f1e4907ad2c |
| 12435 | 12437 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3109,"exponent":1}]} |
c6825a66b02b9089a596539da707a26fc48edf24e441f8ee07c36893c3ddcf03 |
| 12449 | 12451 | PRIME | pcpq1_c592552e8c15887f3bb6e7e68212a8f638c79d02 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":83,"exponent":1}]} |
7759e62c53f83140402018529b0f484f3b035c03000ae2526589ed993b9b3884 |
| 12455 | 12457 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":173,"exponent":1}]} |
0ad5896b4f1cf8d71451dc52fc50dcbea1333bcb618837164c6900820440b17e |
| 12471 | 12473 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1559,"exponent":1}]} |
c171490219ba19b7e159a4e05f16a18bab9a46be87de5f82a6bd39e67c1b9b73 |
| 12477 | 12479 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":23,"factors":[{"prime":2,"exponent":1},{"prime":17,"exponent":1},{"prime":367,"exponent":1}]} |
58dfc90823f0a8e46f9f744257876da0cc71864fa8b33181180d37cb9f7f3142 |
| 12485 | 12487 | PRIME | pcpq1_f978a6efb75d7d93963b346b3ebc4fe77c0af8f5 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2081,"exponent":1}]} |
a3a4e81117b72709840c624c0eb997c7d60fd9bfa2b1c20a3f16257ae1f01034 |
| 12489 | 12491 | PRIME | pcpq1_f978a6efb75d7d93963b346b3ebc4fe77c0af8f5 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1249,"exponent":1}]} |
eb152c351c1f515b4dc8cb16105195dfea5428601c41bead0c21cc1d65e20f1e |
| 12495 | 12497 | PRIME | pcpq1_2370e711c9fd98e8ccb50d4660da84842b9b57dd |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":11,"exponent":1},{"prime":71,"exponent":1}]} |
34edc51d8b198adfa6f5a8c0d1dcbd279f86a49b7fd8d9aba28a939d71b6dd49 |
| 12501 | 12503 | PRIME | pcpq1_a8520cbdc680eb509ca746a75fd30059443228fd |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":19,"exponent":1},{"prime":47,"exponent":1}]} |
11a0393c9c3744575333c0ab2917dbcab1c11fdbedf904c22d1d95dce4775802 |
| 12509 | 12511 | PRIME | pcpq1_a8520cbdc680eb509ca746a75fd30059443228fd |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":139,"exponent":1}]} |
6c4924775c8d38bcb1b73a7e53c84e093d9f383de6a91936b1a6e97f0432f436 |
| 12515 | 12517 | PRIME | pcpq1_c2f4f0c0eb037eca0f7cbca5cc834a331bddc665 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":149,"exponent":1}]} |
0e03783e69d770625addb2a43a1590f61a1a76a1ff40d42ff2572fe05dd635d0 |
| 12525 | 12527 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6263,"exponent":1}]} |
3faebd4519fe3dd8b41b81d021f1e15dd7dfc966216b33c08a73bd36ceb0b74a |
| 12537 | 12539 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6269,"exponent":1}]} |
4e0abe1587c90d4380992fb6bd3a90abfdf0f2b0ae9c8b605a7170c20bd877d9 |
| 12539 | 12541 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":19,"exponent":1}]} |
e18ad97573d9a51dd8ebfe14d4d9378e656e3f2635a87b9231ca15deef9ed6c5 |
| 12545 | 12547 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":17,"exponent":1},{"prime":41,"exponent":1}]} |
2d755e4d5b91d755c51d0404cd8348b726aee97a9937b764699a069440097ba3 |
| 12551 | 12553 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":523,"exponent":1}]} |
19f5f190a7c17b0a23dfbb61f7a95093c1eb0897ce6712e86a2d1270c7379bbd |
| 12567 | 12569 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1571,"exponent":1}]} |
b53ebe29db079c6a9c6ef1c0b83463fd0af9f08c1c33c67050b7be53667e0727 |
| 12575 | 12577 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":1},{"prime":131,"exponent":1}]} |
7285f620412dc36f73005132e39a5dd3dc8814174a1131f6b61e774ba2b31b0f |
| 12581 | 12583 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":233,"exponent":1}]} |
1340a90cf77bac18626dd16a8bdc0abed7145d594ec3d6016dcb1dfa94dc7be3 |
| 12587 | 12589 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1049,"exponent":1}]} |
6f97ae8d1021d6f7ad0b4382f2997e27afc44741ef5faf4cb96a6a0cc16f0ca3 |
| 12599 | 12601 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":5,"exponent":2},{"prime":7,"exponent":1}]} |
4bef4d7e5c0caaf34a5f0e82edb8b3c27ad6736ce4b5727043db194041743789 |
| 12609 | 12611 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":13,"exponent":1},{"prime":97,"exponent":1}]} |
3e861550ee7a7cb601da69430f9f4a94151117078c558fe6645d3daef7f398ee |
| 12611 | 12613 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1051,"exponent":1}]} |
512031cb3d740dc4c672330898fe2a0ec7e8ac7b4361baef7eff8586158762e9 |
| 12617 | 12619 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":701,"exponent":1}]} |
47f41fbc7df39c738d77c9a35c0581e2577177f7f1ccd3dc2d0c58d2dfb04423 |
| 12635 | 12637 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":5},{"prime":13,"exponent":1}]} |
5f70dbe94b7b734b4408490e4a72749377a694825b877d799f91d870ba40f090 |
| 12639 | 12641 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":5,"exponent":1},{"prime":79,"exponent":1}]} |
b7b8fb1382cbdd4e38c964394e9c962d901e38e46d6deb9dc98de705fd86052b |
| 12645 | 12647 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6323,"exponent":1}]} |
f4cf11c447ee4ffebd3aa2d7fe64d371079e621784d62e0db63a6f3bb2e33da0 |
| 12651 | 12653 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3163,"exponent":1}]} |
594f7ae4a1fa4f8e6c0af833f64c5095bcd2bc75ddee84b1f9008423ddf17fcb |
| 12657 | 12659 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6329,"exponent":1}]} |
26cef38d6cb3d7f64f4f9af3605ffb971f848e0829e64db739fe1573d6f58cb1 |
| 12669 | 12671 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":181,"exponent":1}]} |
f5da592440db46057544e8278f43e9a09462e15f0c45e5c965c80fdc97004754 |
| 12687 | 12689 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":13,"exponent":1},{"prime":61,"exponent":1}]} |
60e6dd5a800bafd85cff6fb5b4b784f398ed41e9971ce4a651a7bc863fcd0845 |
| 12695 | 12697 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":23,"exponent":2}]} |
c2a036b3c08d5449175abd5b5a92070eca9fd769e78bfdcfb5618b52731b6b6a |
| 12701 | 12703 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":29,"exponent":1},{"prime":73,"exponent":1}]} |
33c87805f04ae1d2413b500b30fc39f37473bfa9cbd6f31d8dd68aaacf578d9c |
| 12711 | 12713 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":1},{"prime":227,"exponent":1}]} |
a5cbf285f14370d4f39bee564c090034cad54efa7bf3b4deb2c492d254250eb6 |
| 12719 | 12721 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":53,"exponent":1}]} |
750ab7d40fa36e1dbf98f244a86eab5aa1121a5e08a0afc61d3b5993e5bc61d7 |
| 12737 | 12739 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":193,"exponent":1}]} |
208b986bd2d4eb8afc04a1a32c144ccf336eade74b47b7a622d0c6af2f20bf4e |
| 12741 | 12743 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":23,"exponent":1},{"prime":277,"exponent":1}]} |
bae34e2a35a16a3f5bbd9a337c6f51abc17fa9f001fb88011252138670f68900 |
| 12755 | 12757 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1063,"exponent":1}]} |
074dc99377f2b8123d706307f8087f1c75990435936723d5280e7568e694e309 |
| 12761 | 12763 | PRIME | pcpq1_4452b868bf49bb4aab332f565aa5b88b361a08f1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":709,"exponent":1}]} |
cbaf634ff128a0a321fd1355c8173fc0cf3689a895a2ef4b72efb59bebb3efb3 |
| 12779 | 12781 | PRIME | pcpq1_ba405048059cd15d753187ddc1044c2c050d0de2 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":71,"exponent":1}]} |
7172fa6d47c2f53f7267a808ffc80bb896b24037e46c6e79651cff1fb8af6bb0 |
| 12789 | 12791 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1279,"exponent":1}]} |
1f2fdea1bf6d36d0548d0d2605023cdd8284ff65f85b8f77a97d8ec652b13eaf |
| 12797 | 12799 | PRIME | pcpq1_ba405048059cd15d753187ddc1044c2c050d0de2 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":4},{"prime":79,"exponent":1}]} |
8ced65fbcce1d89b84d5b196e959a1b6aff9f5a31ede35a30b7eb4cdd1b2c1a0 |
| 12807 | 12809 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1601,"exponent":1}]} |
3b9094fdd7c776334413e28360464d5900e3ee00cde76e7c979ea6d5d53fe08b |
| 12819 | 12821 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":641,"exponent":1}]} |
aebfbbcc2d4a28ba638d937f7bac59a024fcde2bded40b45eee74ebfe4fb73ae |
| 12821 | 12823 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2137,"exponent":1}]} |
b56023e0f8020e01cd44c418eccaa294d46db59c01165f6807879db7d397226b |
| 12827 | 12829 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1069,"exponent":1}]} |
7708391d45800aac27d976774d56dd05aaab657f9637213e892987e3c541fb1f |
| 12839 | 12841 | PRIME | pcpq1_ba405048059cd15d753187ddc1044c2c050d0de2 |
Pratt proof
view{"witness":21,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":107,"exponent":1}]} |
b94c5e0431535c11cc7e89e2c86d46b307f15bdef33decc7ae5ef04051066215 |
| 12851 | 12853 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":7,"exponent":1},{"prime":17,"exponent":1}]} |
3e8b2add0cf5137382ce4db30296961ecd4201048110c85e8d8e6a0d7f6bfb77 |
| 12887 | 12889 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":179,"exponent":1}]} |
e18debdbbbde2566cd203fb97650e4379e4c8ecbe001d5e4ba413453d5c0d759 |
| 12891 | 12893 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":11,"exponent":1},{"prime":293,"exponent":1}]} |
b41d26167f55a7e664f4fd19726dbe82dfcc80f098dd771999a1a275fb389986 |
| 12897 | 12899 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6449,"exponent":1}]} |
a8c27309c5077fbdb0df388cc3329a49258f9542d15dc3373364c3d1cb0c564c |
| 12905 | 12907 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":239,"exponent":1}]} |
a267e949cc98fc9f5e06bf7c1a2affef1725658a3148d4f59affae4ad71a7b99 |
| 12909 | 12911 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":23,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1291,"exponent":1}]} |
e9ce920638976a84a2278a48ee371e42e97ed77897443e59ea00af5a4580ddc6 |
| 12915 | 12917 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3229,"exponent":1}]} |
a0b45a6212aec1772acb36efa50022066b221d5966d9c5235a4b55c654c6c287 |
| 12917 | 12919 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2153,"exponent":1}]} |
2b00ebb2c06ca346540eccd6511e1e7be4e096205e1930bcda9d62cfff324dbd |
| 12921 | 12923 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":71,"exponent":1}]} |
35e31cfd19dd2df9dcb89788478bc5a6be63d0c61e66d970eb456d342bf302d3 |
| 12939 | 12941 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":647,"exponent":1}]} |
8be38884a8d27dc1680f10309334c22e1b7a657a177e94d934c46705d753b14f |
| 12951 | 12953 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1619,"exponent":1}]} |
e03635ec1274de0c5ddae6f70fef189ba9a4671eb52f699af2646885c525ccb9 |
| 12957 | 12959 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":19,"exponent":1},{"prime":31,"exponent":1}]} |
0658dadc769c5b15a1aed46379e44d0a41b82c763f17d2ba913a263258a8cf88 |
| 12965 | 12967 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2161,"exponent":1}]} |
641716df3030456a7550fdd3c1a330bda3fd45fdf3429bbbf5bd58c6632539d1 |
| 12971 | 12973 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":23,"exponent":1},{"prime":47,"exponent":1}]} |
37995cbe8b9a1d299cb40f5f062a947d8c4bce3b27450e965815d2cdccd3fc45 |
| 12977 | 12979 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":7,"exponent":1},{"prime":103,"exponent":1}]} |
cb4b6d2d0055040c814e9a2c33ad97c7cf0ef485929a1e99e2909c16da30752a |
| 12981 | 12983 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6491,"exponent":1}]} |
6e569c1952bef3110e2116f7e5dc367ee8f1369f73a355b99a73a9f915b1b636 |
| 12999 | 13001 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":3},{"prime":13,"exponent":1}]} |
e2ed9c922af4db554e75b2b18e7962c0d173ba13ebb0c595a4e70b5f9202a536 |
| 13001 | 13003 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":197,"exponent":1}]} |
477e2735a6beb92a9ab4c824d6597956f3df1649d3aee016f6d16f95683aea38 |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.