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
27925Records
27926Primes
3047Composites
24879Record Browser
Showing heights 26926 to 27925. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 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 |
| 27539 | 27541 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":19,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":4},{"prime":5,"exponent":1},{"prime":17,"exponent":1}]} |
a73a77ff8c20b727c481cb14c34acfa40833ac270a91ad2d2128749e8e47d3fa |
| 27537 | 27539 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":2},{"prime":281,"exponent":1}]} |
2b389483ffbf0b4c6132c061c0c907cf16fbd971f428aacece63b0e7bc461f62 |
| 27527 | 27529 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":31,"exponent":1},{"prime":37,"exponent":1}]} |
534813f9f291524f69d5aeb39b45913579c96e5c5d0307d53539f655295be0f7 |
| 27525 | 27527 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":13763,"exponent":1}]} |
1d10b90ccb4d1d5370b4c140c213531ec3b0a8139adf474d914d039869410e2f |
| 27507 | 27509 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":23,"exponent":2}]} |
39c4b1cd2da4df0a48b2ac75704e9baca8779283c2b2f19354de4e2394f2b5c4 |
| 27485 | 27487 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":509,"exponent":1}]} |
c8fe774b2a344fe4e4a67cc67d8b9727f6bb24a326ef0a95ad2a9260f080f174 |
| 27479 | 27481 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":229,"exponent":1}]} |
36b73a4533a08813863ca73dbf84e9b4fafd2794214c9930ab86af16c404f0cd |
| 27477 | 27479 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":1249,"exponent":1}]} |
80abb36d6ecab06938b161ecd6c619be4f3828bf4b747daef248c881e829f89b |
| 27455 | 27457 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":13,"exponent":1}]} |
eb0660915fa475c0173913c553d704b83d7c6bf2ce81e83b261028c5f71a2a1c |
| 27447 | 27449 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":47,"exponent":1},{"prime":73,"exponent":1}]} |
2216b659762df739622ad271882e52432f459db1f4d893386a90177e3479f97d |
| 27435 | 27437 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":19,"exponent":3}]} |
a07491c7e3c66f29411a9d63836d845234567b78d306a1db490e28b38c5076f3 |
| 27429 | 27431 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":17,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":13,"exponent":1},{"prime":211,"exponent":1}]} |
aef9a52d81e116be1658d6b585885eb326b7a9448a22004c6e58a2d2b41d24f7 |
| 27425 | 27427 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":653,"exponent":1}]} |
d271507a99be0e823e1b0ee259e1c7a975a34041349658603ff78013df843209 |
| 27407 | 27409 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":571,"exponent":1}]} |
a2f71ea444bd1b2131442d876519b739dfe0cb8153db7c9c6e9f74ffaa2850dd |
| 27405 | 27407 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":71,"exponent":1},{"prime":193,"exponent":1}]} |
515b5b2de0d3c15cd30b29316737c52cf24af75bf0075d3545395a704fc26d2e |
| 27395 | 27397 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":761,"exponent":1}]} |
afa6af49b17adb8142ebfa87150adae227f5beff6d36baea53ae0dfb6940edea |
| 27365 | 27367 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4561,"exponent":1}]} |
066f007363f0a4a4ad6654dc69c78e1e1c7b4598852e2d3eeb1c6df5d9fb12a0 |
| 27359 | 27361 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":19,"exponent":1}]} |
abb506d2d67c670ba49b6ef20fa2a4b0eac8aa06adb966cdc61f2f496b08f37c |
| 27335 | 27337 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":67,"exponent":1}]} |
0e66b9ffecd4ab53b07de876f6880d36db2ae55054ff8080136bcdc79f51abfa |
| 27327 | 27329 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":6},{"prime":7,"exponent":1},{"prime":61,"exponent":1}]} |
5b8d5b288f44970f6dbc840348371ee79e7128836027a1ae1f761fc3590b83aa |
| 27297 | 27299 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13649,"exponent":1}]} |
9aff160830f9fc43e4955fb1ee88770dc42df94eafbc31c18ad3d05c68e4ab18 |
| 27281 | 27283 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4547,"exponent":1}]} |
1c2f78cbd2748621f6131f298b90d5fcfdb659205bb27ba0bc3c354eac59f55d |
| 27279 | 27281 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":4},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":31,"exponent":1}]} |
fec6a6b800c0190a733d9df9de2bee8297ea187c70b44cc8b0f1968b6f940f11 |
| 27275 | 27277 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":2273,"exponent":1}]} |
07c4c11e41546ae5a2c51fb4a41a6cb0ec6af088447e6a176099d5034adf0a02 |
| 27269 | 27271 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":5,"exponent":1},{"prime":101,"exponent":1}]} |
f656a854061bcffed0a8d3dc22490b94f51f00ff918ef4707a05d9161d670692 |
| 27257 | 27259 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":11,"exponent":1},{"prime":59,"exponent":1}]} |
315434e6b5b7376ec554445925c5e0dbf79849a369cc8e83c48b6593e863f6a8 |
| 27251 | 27253 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":757,"exponent":1}]} |
aef9b61635fc2f0b552dc2a880e0a2005e4206db0cf00ab97e318a569dd95384 |
| 27239 | 27241 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":17,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":227,"exponent":1}]} |
d060c66b73a711c26e2f498f02064fab8a7d05250eb0ebde2f0f214d9da71628 |
| 27237 | 27239 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":13619,"exponent":1}]} |
baf9b5e92bbc8020e9192d91139ea23c963a112fdb9332bd93627971c87d214f |
| 27209 | 27211 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":907,"exponent":1}]} |
21002d0f9c935f5d4e5112934098ba556c4bc24c46bce00f5cebd7836772ea60 |
| 27195 | 27197 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":523,"exponent":1}]} |
ca09ed0afec366339cdd13b9c891e5268edc71f881ec699673eefd6b9d79c2a9 |
| 27189 | 27191 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":26,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":2719,"exponent":1}]} |
dc72fcca7c29b87400072b9548219ed59bd86d1af20e33bd3b20db9e33f0f70b |
| 27177 | 27179 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":107,"exponent":1},{"prime":127,"exponent":1}]} |
528cb7126ee1241b50d7bbf357b4c3f3eba434e2270d9988f26e796d0946b109 |
| 27141 | 27143 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":41,"exponent":1},{"prime":331,"exponent":1}]} |
7d391ff766a69f30df59090241ee5648418b3c50683ffa220fd3775ad64c5fd4 |
| 27125 | 27127 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":137,"exponent":1}]} |
8930a5d48933566327b62325cf4e9b7c36111fce0ad3273576c884b01d1023aa |
| 27107 | 27109 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":251,"exponent":1}]} |
4e05a24d04307b35e9ca72f1d933cf46ac2569b2c0614d04371fde629e95a6e0 |
| 27105 | 27107 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13553,"exponent":1}]} |
7f2513dfe4b07f8a519a9b89c93b2a81165e35c07ca8d3b358e45c41b7465fae |
| 27101 | 27103 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4517,"exponent":1}]} |
a77f959ce5174ce441b3fc2ed0785bdab4e0a8081d352462397e9e7fd9f077b0 |
| 27089 | 27091 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":43,"exponent":1}]} |
639cbb8079840a46033601f123685017152f86f72111438861e7d0b00375910d |
| 27075 | 27077 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":967,"exponent":1}]} |
77b9e8580f322f7307fe978d4cbcc9bed8941d9d4f113cfc84d22d7dd2ee1047 |
| 27071 | 27073 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":2},{"prime":47,"exponent":1}]} |
cb10bda4d02091cd8ff15f7fa0f85aab3a4b110ae62a21f98b4ad38e8886b2b4 |
| 27065 | 27067 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":347,"exponent":1}]} |
5db0c623c684cc5a390f0d60e5393eac072a7888548330739bf4c93b831c27aa |
| 27059 | 27061 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":41,"exponent":1}]} |
fafa75fea0e3dfbbba303b014cdffe3aba7704bba86038747d3493f34ef188a5 |
| 27057 | 27059 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":83,"exponent":1},{"prime":163,"exponent":1}]} |
154ff41d625f602c67a1138d9c44849bd1217300e1dc989ba3b36549f452c9fc |
| 27041 | 27043 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4507,"exponent":1}]} |
1892cc964ebf5d3f489f33197cbf24db64a5245a3f4706196dd8e4e4706bf515 |
| 27029 | 27031 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":53,"exponent":1}]} |
b1b40e5b1bdcb0bd1c8d5df205d0046fe5e1d74a9ee66bb8fd637bc57dc1b6bd |
| 27015 | 27017 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":11,"exponent":1},{"prime":307,"exponent":1}]} |
ab0062928dc5ee1edc7eb0cf82792fdca7a202203258ee233afb236303d8d09d |
| 27009 | 27011 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":37,"exponent":1},{"prime":73,"exponent":1}]} |
6b3531bc4c074433f6551a61fa40467de8b9a407498a4bec164f1f9614ed145d |
| 26991 | 26993 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":7,"exponent":1},{"prime":241,"exponent":1}]} |
f5fdd81eb0f17f63328f3e46170b90a5f8c617347a83a8731294f623c057cd3e |
| 26985 | 26987 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":103,"exponent":1},{"prime":131,"exponent":1}]} |
afa82c6c70f3f0b2dd42fb9f5228105dfcfbb23056e6bab9b377a19beff1c091 |
| 26979 | 26981 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":19,"exponent":1},{"prime":71,"exponent":1}]} |
689f886f02dbd155f0ac88b5da374bf8a6ec368817b86c29ad849df9c8d5a77d |
| 26957 | 26959 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":4493,"exponent":1}]} |
7ee9601ccc0a73b217a5aafd8e87d9533f236b6b4fdff57dfee4791867dcefba |
| 26951 | 26953 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":1123,"exponent":1}]} |
e8ab89febb9de33b2c50801836408899e9d0965348e380e2d86c573e683f1b16 |
| 26949 | 26951 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":2},{"prime":7,"exponent":2},{"prime":11,"exponent":1}]} |
9fc569515873691f0992e6bf98814cc9edba149975da45fa3dc15f52f2b42659 |
| 26945 | 26947 | PRIME | pcpq1_be839066b323aa40dac7f3bef6f60beada0790ce |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":499,"exponent":1}]} |
94cf6c87b20f36b0ed899fc92ba1daa384a02b01ee44f0b19f2e57ab064c371b |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.