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
24563Records
24564Primes
2724Composites
21840Record Browser
Showing heights 12473 to 13472. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 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 |
| 13005 | 13007 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":929,"exponent":1}]} |
b0c2519a7669b51914726027f5d3982e794e702030ee6fa520544f3b8a3faa37 |
| 13007 | 13009 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":271,"exponent":1}]} |
303204da3a9ee8c60048e314250687c63a0f350eab340231118959d821aa274c |
| 13031 | 13033 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":181,"exponent":1}]} |
e120a65e1d2eac7107785f7eef4c0bc4c035773cf2376a085c927d34e8085367 |
| 13035 | 13037 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3259,"exponent":1}]} |
5635cf464b1e432bf690a05ab3da6e4bd95f8fb6d8f1297e79050de48d6937fc |
| 13041 | 13043 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6521,"exponent":1}]} |
8c809974732e0678483ca7c48ccf42293c56738f0fdc2acf7eb8b8355923c14e |
| 13047 | 13049 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":1},{"prime":233,"exponent":1}]} |
d30389a3807f96b63aef27f4107af966b5830b6dd4039c3ab6077b3bda390551 |
| 13061 | 13063 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":311,"exponent":1}]} |
f81b476c0f97b2e091eda05473706fc88db45387f5600437163c2280d08008e5 |
| 13091 | 13093 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1091,"exponent":1}]} |
fac0629ae57e3f5f216caa1a6cb24251bbe3624f76d26047efefe5dc07e12c7e |
| 13097 | 13099 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":37,"exponent":1},{"prime":59,"exponent":1}]} |
9836baee3a9f405b29776f2a5976ee0514b931ad77ee414c294ee82206af25fd |
| 13101 | 13103 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6551,"exponent":1}]} |
51efedece4eddc44ea8ae000712465bd0d493e83975f1af2996f6c3040c008cb |
| 13107 | 13109 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":29,"exponent":1},{"prime":113,"exponent":1}]} |
064315317ca31306d12584bcc318f1948a979cb917dbe1c7e506d2e44b8c5771 |
| 13119 | 13121 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":6},{"prime":5,"exponent":1},{"prime":41,"exponent":1}]} |
4e8099cd8114b72195075f2695767270fd8b2cd7744afedcb09eca247204b861 |
| 13125 | 13127 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":6563,"exponent":1}]} |
7399d0c83b824e371097c0705d3cc2ad753b96b15c88cb9fee2b0f4f607cf6eb |
| 13145 | 13147 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":313,"exponent":1}]} |
35a25fbdf49be2474f52bf846893fd1cec7045f061475d57a8384cf3dc03d810 |
| 13149 | 13151 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":263,"exponent":1}]} |
915cf470f73920ee8dfd0ebebda6b12a33694cef344339f773d5bc48d85e8873 |
| 13157 | 13159 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":17,"exponent":1},{"prime":43,"exponent":1}]} |
417565a29ca1acea32254ff435fbf30a17c375827268ae9f3139b0adb5334ce9 |
| 13161 | 13163 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":6581,"exponent":1}]} |
7c694e11fe311ecc047d63e5d6a4c4f31c67ddb964dde2d07c905a1a4c3f75de |
| 13169 | 13171 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":439,"exponent":1}]} |
5b91e4b777575ac62200f734afab50237bd2ac0082ba93599f28e60d4a50faf9 |
| 13175 | 13177 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":3},{"prime":61,"exponent":1}]} |
3c78657c45c5355071e8c035dfac795c906853f2324f7fa79c489299a777af13 |
| 13181 | 13183 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":3}]} |
ebf408e9879506d3554703927724f12683d6230a1ac04a95eca34e3521fdb2c9 |
| 13185 | 13187 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":19,"exponent":1},{"prime":347,"exponent":1}]} |
4da5f32f5da2c64d26d11517c3ecc1a3b6896dbc71feffdec57584c6e49b1899 |
| 13215 | 13217 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":7,"exponent":1},{"prime":59,"exponent":1}]} |
ed339025de530d7ee6949e3cd1d96a9a5b56d5aa5a4bb804277740afec24d456 |
| 13217 | 13219 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2203,"exponent":1}]} |
32dfd1d2d0ec68f24261f42eb1e6ddf142cd52310141375a0e81f011a307a598 |
| 13227 | 13229 | PRIME | pcpq1_386a3d8df3bace8ecac7118e4cb50772f5c10e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3307,"exponent":1}]} |
f89bb9d5d7d1f41f4249b1884cdb5d2c789b3a360b38ec6ed1eb8a27b33d751c |
| 13239 | 13241 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":331,"exponent":1}]} |
a96fdfc02dc05b3c32bc3b333c633bc33a95e214e2b2ed2723f2aa22a5d948bd |
| 13247 | 13249 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":2},{"prime":23,"exponent":1}]} |
74c7ad1bd134249a5d3627201bd2cf2003a32367e92a42ead9354dcebb7c8d33 |
| 13257 | 13259 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":947,"exponent":1}]} |
c220743e1eff0636119555c33fad508fa7a6f129b62633e7704b0386cc74948a |
| 13265 | 13267 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":67,"exponent":1}]} |
47e5272db639a2310d33a2b127799c68a93fe7c58d83864af1e63ac610cccaa3 |
| 13289 | 13291 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":443,"exponent":1}]} |
79a6b760833ae27b56c6b93c478df6dfed950567e22dfe20d2537555a1a9893e |
| 13295 | 13297 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":277,"exponent":1}]} |
060cddd2265c1f0487606467865a9d2608dd87924804151e74fe708aab076db4 |
| 13307 | 13309 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1109,"exponent":1}]} |
7a25b710041cb1cc78144faa09a42a84c276190eb31fb4c2ae2df56e41fd0b6f |
| 13311 | 13313 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":10},{"prime":13,"exponent":1}]} |
ef41e93a393685284f1513d6b8c66ba7eee96c3ec7ffb6e30594403f096e2b82 |
| 13325 | 13327 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":2221,"exponent":1}]} |
d6f2c6bb70718dd58f8e5fd4d59519decda665ba588dbc04294deb406f36a090 |
| 13329 | 13331 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":31,"exponent":1},{"prime":43,"exponent":1}]} |
1c18c2728409b13a1c2c52ac215e969edd9f91fe160fe4f6cf457a0817d6cac3 |
| 13335 | 13337 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":1667,"exponent":1}]} |
80a4756b8b77b99c79acfb8ef07a9495333984f16ede164614909086a58e7e7c |
| 13337 | 13339 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":13,"exponent":1},{"prime":19,"exponent":1}]} |
9b336334f6c9c452ed1e90df20c86c35c5d1354947bb8d5abe6c027789087a95 |
| 13365 | 13367 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":41,"exponent":1},{"prime":163,"exponent":1}]} |
cfcfc6aa701039c14d9bf04078ca75c028f2803afd5fc01cd6a310e9bab301c6 |
| 13379 | 13381 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":223,"exponent":1}]} |
cbd2daaf9c7a5cc795cd3d7b858928c669244c41a25202908096040c01cd6f8c |
| 13395 | 13397 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":17,"exponent":1},{"prime":197,"exponent":1}]} |
eec7a8db4b90b823d884add6597b6369c2826d6da17ef8e742e6b129717822db |
| 13397 | 13399 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":11,"exponent":1},{"prime":29,"exponent":1}]} |
361124becaa9edea5a1af0886b72fca26f42eafd9e23ac4b5ba18f42ac4819ae |
| 13409 | 13411 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":149,"exponent":1}]} |
9b13ba22ec89b1988c0f638c91dd1a8a3a5ddc49fce199c3ae9525ca95f9a7ac |
| 13415 | 13417 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":43,"exponent":1}]} |
9e64e8a17110973af12a9d503faae28114e2d029b986551dc7c8e60ad2762221 |
| 13419 | 13421 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":61,"exponent":1}]} |
0da923021137ead87f3284bda71757a0864445010d4c4d543b6e209b3a28533e |
| 13439 | 13441 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":7},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1}]} |
398e771904e31a712a6ec17b2229bf1b1b10c0b931c521b6dfb7daa339a19797 |
| 13449 | 13451 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":269,"exponent":1}]} |
607fc3ff20c2eb4887f226c0b5c63a304e7a95ad8ee7e705b87807bf31f506f5 |
| 13455 | 13457 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":29,"exponent":2}]} |
2d2706022b19e0b65ad120ab0857d6bff00a3bee206645a05321e07fb8f1b93c |
| 13461 | 13463 | PRIME | pcpq1_741a079996416a2e6d8694115864f3bf16fc1e6d |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":53,"exponent":1},{"prime":127,"exponent":1}]} |
27c6f9eb146039cce7fbac9c63786b20541bb2fa3c890949975da6c6be093586 |
| 13467 | 13469 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":37,"exponent":1}]} |
6a960dc80a1b7bb4ff4338db4f2b725d7ff0671f23345770999d25f5422fc0db |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.