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
24694Records
24695Primes
2734Composites
21961Record Browser
Showing heights 20670 to 21669. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 20679 | 20681 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":47,"exponent":1}]} |
4f0c4d5273988691feef658d14038a62816aa46dd6903fc3a0ee11cbbe63f6fb |
| 20691 | 20693 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":1},{"prime":739,"exponent":1}]} |
9e8d65ca05a469e4dc7380fb2de0b17b134fd013a241c3b7c4967c5a80eeabc8 |
| 20705 | 20707 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":17,"exponent":1},{"prime":29,"exponent":1}]} |
9069be22a4b0455d4e5df88d7c727e2cd5c3189b3365acda5f12798fd0e3dcef |
| 20715 | 20717 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5179,"exponent":1}]} |
e37ff44eec7eb13fa594db148981d5553a66b2ae37bad4d95e44dfbb6c60e8e8 |
| 20717 | 20719 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":1151,"exponent":1}]} |
803d2e9574f49a4c1d16c8b4046e802f1f96d14ab3048a81c721a2ad12b570b2 |
| 20729 | 20731 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":691,"exponent":1}]} |
3ded0259a578a5879f76a17e6ef46f48cf87f74d1ce8300ba0d5c2ce752130fe |
| 20741 | 20743 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3457,"exponent":1}]} |
e45e811818e8e7bade819df0e227f4006c6d7b0e57ac332565380affec33f073 |
| 20745 | 20747 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":23,"exponent":1},{"prime":41,"exponent":1}]} |
bd36468cf0429fb482356c9d6d16964274427f29b92bae6b739bc3e3d892a31f |
| 20747 | 20749 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":13,"exponent":1},{"prime":19,"exponent":1}]} |
cbf73b70ed70dc294623bfafd50881c780662637d43717a41f84ac3f9f66fcff |
| 20751 | 20753 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":1297,"exponent":1}]} |
a5595a063a55fc83e1ebf26a221eab9613d48e24822674a49df09a07f7ae4c66 |
| 20757 | 20759 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":97,"exponent":1},{"prime":107,"exponent":1}]} |
5400486d0a7e5d296a04115bb2a8de3b8ccd6d194ff645011105fb92fd9d0234 |
| 20769 | 20771 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":31,"exponent":1},{"prime":67,"exponent":1}]} |
37c09093c4462ce825535f6e1fbf8dff09c4121f378e6c96ba9427f1b8950e47 |
| 20771 | 20773 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":577,"exponent":1}]} |
7ee49fe57ae11659a60622d18de14d75e34870f66749d239c3057fa1aa9919b4 |
| 20787 | 20789 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5197,"exponent":1}]} |
e05ebce0b96084de2a57ab95df9ba8ab326abb08cf3c0b2ac3b46d84e2b12bc2 |
| 20805 | 20807 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":101,"exponent":1},{"prime":103,"exponent":1}]} |
5fd6fbf945ad31d925195f02bce79b659ba60b964c7b25bfab6cbbf857cd24dd |
| 20807 | 20809 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":17,"exponent":2}]} |
0ac75db1fc3e011bb8fde6a942ff9fab12beb4d0c992d2f1128bd83e81bf3b06 |
| 20847 | 20849 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":1303,"exponent":1}]} |
6eea2a68b29d687bb1fd22267215c037a4a9cf1fa17d79c6a7196d2bf8691871 |
| 20855 | 20857 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":79,"exponent":1}]} |
f73e99d4f6696f84c9d7c43b30e9d37e488576f4fc5fe0560a6c8d1c08267f48 |
| 20871 | 20873 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":2609,"exponent":1}]} |
0179714d4f0f9bf21aae72da5d3a487af721165000d14401d6106a38106ec5ca |
| 20877 | 20879 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":13,"exponent":1},{"prime":73,"exponent":1}]} |
e24690a5000804d1e4124426584854882985c034bc8c59575fd052d27503ec19 |
| 20885 | 20887 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":59,"exponent":2}]} |
7e7c3574bd4bf89bdbb86cb2ae6059f14c49c35fbbf8a0488f5b23bd59783548 |
| 20895 | 20897 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":653,"exponent":1}]} |
4f0e04d2e68df616808b3eae137fa45744a78fe636ccecbea6ad713ff93d59df |
| 20897 | 20899 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":5},{"prime":43,"exponent":1}]} |
7b13f50c04525b6b692ee650bd6d676888f4bedc8040514efad3e3cbf99b014d |
| 20901 | 20903 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1493,"exponent":1}]} |
6dd78a03f35238b647cfd6a7ab7b2675f845e2a0632cdc14d991c36e1d4b9443 |
| 20919 | 20921 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":523,"exponent":1}]} |
1ef532ca19945b5b614b22e01da8cd594ad148ee1e7d74f5e35240e13f779beb |
| 20927 | 20929 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":1},{"prime":109,"exponent":1}]} |
9952a05c48f1fac5307d717a4da4c03d9f335507da9de20a1710419dd533b190 |
| 20937 | 20939 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":19,"exponent":2},{"prime":29,"exponent":1}]} |
54f9a711bfa784c495fe6ee762498d5368c6233cbaa2153007ac720a5f36ab83 |
| 20945 | 20947 | PRIME | pcpq1_db8a57898e1c9a4243706816d2765de255568aa5 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3491,"exponent":1}]} |
2f114fc62025fc216bb5aea72f23c4ef321199e801ef0bae1c9625b8384d2e8b |
| 20957 | 20959 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":499,"exponent":1}]} |
6884448dd3ac4d3e26ee9ff6d06bad4500f3ec5ff36387d5e7f16392c2389738 |
| 20961 | 20963 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":47,"exponent":1},{"prime":223,"exponent":1}]} |
c4b01de64346159c5966225ad9814102898a69525702e5b085254a81a08d9bd5 |
| 20979 | 20981 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":1049,"exponent":1}]} |
9c17884a2127ac0477c941007ccb99e814d355d4959532704398934d371586fe |
| 20981 | 20983 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":269,"exponent":1}]} |
47e457ec3c69169324162a8793d254c0d184cae1c71ba1b611d742d948da0054 |
| 20999 | 21001 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":3},{"prime":7,"exponent":1}]} |
24e13e3213c48d24c31b79f2aedab0e09f51de5081a9bd1d84fdb6e0f19098e9 |
| 21009 | 21011 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":191,"exponent":1}]} |
3a6b4ff56570e09cecb12d57b2eae6b40b22247e1055bae91366fe64486b6c63 |
| 21011 | 21013 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":103,"exponent":1}]} |
57e9b78b07ec5e16e5f0709d744f12f5cd12f1e87665293c59441e5cffb61f41 |
| 21015 | 21017 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":37,"exponent":1},{"prime":71,"exponent":1}]} |
f9c6864d6d4fa95001271f6677112dc80aea0649d6270609b591957726fb48ce |
| 21017 | 21019 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":31,"exponent":1},{"prime":113,"exponent":1}]} |
ee1c4de14c479e207b5f27d6ec2a34b42a43ccddcda34a5d76a1880a27303baa |
| 21021 | 21023 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":23,"exponent":1},{"prime":457,"exponent":1}]} |
e69568f2f5a08a1e32dae7732dbc2a221feb4979e66926208c4b9a2b9f558ee9 |
| 21029 | 21031 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":12,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":701,"exponent":1}]} |
2c387e82e2295582d986cf10d6b89fc7f815519f6d3447cbbc4c76f9be4a1ccb |
| 21057 | 21059 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10529,"exponent":1}]} |
b7720088dd19ce0ac50d7cf54df89b9a82293d73cca4ff6e38125df27af83ce6 |
| 21059 | 21061 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":4},{"prime":5,"exponent":1},{"prime":13,"exponent":1}]} |
07c1d871cdb87d541182b6003ba3a7af33743a7053686aa1f70c872dfc9be862 |
| 21065 | 21067 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3511,"exponent":1}]} |
726ed56515a103247ae13edfe2c9c93f0a5ca9cfe6c1d61c9197c7bcaa6178d8 |
| 21087 | 21089 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":659,"exponent":1}]} |
ba11fb18d01c17e00e4cd6f45f6a4cc4484b51cfc09e1cf46a6b0edeb446615e |
| 21099 | 21101 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":211,"exponent":1}]} |
0e46ae3547bed5978bf978c00c319c8bfe5fd0531cd83e5f45a373eff7b35b3d |
| 21105 | 21107 | PRIME | pcpq1_abb53396a6829db6daa8edac265df4878e4dbb6c |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":61,"exponent":1},{"prime":173,"exponent":1}]} |
8dbffb1ea6df59a252f6b047afbc7ad6e727d06a2511507d2aa78d355ec7a351 |
| 21119 | 21121 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":19,"factors":[{"prime":2,"exponent":7},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1}]} |
2840b98a9ae24c9c459ca694e0b953840998f42ab3fc8b4d317d746225c36a67 |
| 21137 | 21139 | PRIME | pcpq1_929dbef4a06c1567526803c30a1a21d4bfbfd32e |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":1},{"prime":271,"exponent":1}]} |
9faa20b8a16d7ba01a33e4a150e3f8c0cf90034aa4ff12bb652d975fbe3c30d1 |
| 21141 | 21143 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":31,"exponent":2}]} |
43468b2efb804ce2941e3c48f4d6d283f35bdf49c905fd2510cf0187fe82cc88 |
| 21147 | 21149 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":17,"exponent":1},{"prime":311,"exponent":1}]} |
7e45725c885ded627f41242d4add396296d14aa6e5bf7d90dedede44bc214a8d |
| 21155 | 21157 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":41,"exponent":1},{"prime":43,"exponent":1}]} |
5bf207058bad2ce8ded42b69d1ee7f8ce80b26641cc338a25c300f6f660c09fc |
| 21161 | 21163 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3527,"exponent":1}]} |
82d0b91fafa6948d05642a336324edfd6d9a81451b5e32c0a7c6b748b3373601 |
| 21167 | 21169 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":3},{"prime":7,"exponent":2}]} |
069e51c789550e5936aadce78d44348900aaa2c9e4e86bfb73933fb8b7675ac5 |
| 21177 | 21179 | PRIME | pcpq1_65a6329640650a6935db928f939d8e220ffc0c72 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10589,"exponent":1}]} |
7947dadba705185a454d27c192dbf1838ce0b6e33eed6d08f1b4c3b1aecf31d4 |
| 21185 | 21187 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":107,"exponent":1}]} |
fbe3ce130cfe1113a138daf233f24002b507afeaac1ae9d0f5b5eba277d1357d |
| 21189 | 21191 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":13,"exponent":1},{"prime":163,"exponent":1}]} |
38cc059dbfda8bb98ea00c0a1b4e887457a3c4e4d858c8872329f6a374e57fbf |
| 21191 | 21193 | PRIME | pcpq1_f5a01b0cc25ad729f3579328710a8f1c2c379994 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":883,"exponent":1}]} |
e91652e4aeabbc37800f57d3df7926e22ff1660c074639f4f60b25512eb3785b |
| 21209 | 21211 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":101,"exponent":1}]} |
6148004dc0240d11e0f2cf75fb94e01008b0ec6363b1db1eef7ebbaf4c29082d |
| 21219 | 21221 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":1061,"exponent":1}]} |
ebff601f4cc9b854210985a045717f48d8998385dd653cb67c0ee5d700634462 |
| 21225 | 21227 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10613,"exponent":1}]} |
aaf34dcf1139d85f19a157e08918622a7c98ead1f6a9eb1b4469009579a0c62a |
| 21245 | 21247 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3541,"exponent":1}]} |
ffa885a53e0f60decebe63d374d66536234f7447a0c3f2eea5102ce71019d01e |
| 21267 | 21269 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":409,"exponent":1}]} |
85ad23af0de0a03cfb45892fe192eb52fb1282b68d98c4ccaf53d09a9dc130a4 |
| 21275 | 21277 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":197,"exponent":1}]} |
ae5819c750a024a955f9809f74dc817a303dec4bcd3482da8cb09901498b99a3 |
| 21281 | 21283 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3547,"exponent":1}]} |
895d32f652dccdad5ab9f8a7e104fde9523d43424a0c7b896c390b7ba119ec73 |
| 21311 | 21313 | PRIME | pcpq1_929dbef4a06c1567526803c30a1a21d4bfbfd32e |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":2},{"prime":37,"exponent":1}]} |
5d7fb5429731b872f4efd5d16bd0b1f0410936bd60be38d57f7e8c4fd345a810 |
| 21315 | 21317 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":73,"exponent":2}]} |
5ac18c47f812e6c5e09411c4d2623855861072357b930f607b9e42c04de33cd2 |
| 21317 | 21319 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":17,"exponent":1},{"prime":19,"exponent":1}]} |
879915ec7ee8f3f5a8f7ba0ff76621be631038754d2eb2aef6b05c71a51b6017 |
| 21321 | 21323 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1523,"exponent":1}]} |
b1a2dde4ad1e28ff28725e167e73ac3d45449930cfe51c537df160123e88af72 |
| 21339 | 21341 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":97,"exponent":1}]} |
16feb884aee76ba1c387db95831b61dec8f3a12af7f757cdb1f44a49ac3a8062 |
| 21345 | 21347 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":821,"exponent":1}]} |
b846ba92619561e6795924faa8229206515cf799563fca0bdf5216e05a07e85b |
| 21375 | 21377 | PRIME | pcpq1_abb53396a6829db6daa8edac265df4878e4dbb6c |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":167,"exponent":1}]} |
6e9bedf2108459a1e32823dc4631ac9ea8b7d8774df35feed65f65b45afc16f6 |
| 21377 | 21379 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":509,"exponent":1}]} |
bdc22619215c72954ea5e407e245c6e117cfe245bc4d520e57c428311f7d76cb |
| 21381 | 21383 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":10691,"exponent":1}]} |
714f389e339376edf7e0ba1e6ceb447ad40ead26a943dca87bf0e8f66876bed7 |
| 21389 | 21391 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":23,"exponent":1},{"prime":31,"exponent":1}]} |
a02a6bbff8a8938074b1510744698593282938ee1c6be30162ab5f72f9469279 |
| 21395 | 21397 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1783,"exponent":1}]} |
46c8dc746ae518d0eeadc1757f62d3c44aa3a93c387e18653a2c74501aa16f18 |
| 21399 | 21401 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":2},{"prime":107,"exponent":1}]} |
899bbddc305e275f89e1ef3aa5dd473200b348a229deddffa56d3908e2cb4309 |
| 21405 | 21407 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":11,"exponent":1},{"prime":139,"exponent":1}]} |
680382f02f037af1b4e5ea0190cdd7a17856c5d12ca1c0c6c1ed5e5c790f531b |
| 21417 | 21419 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10709,"exponent":1}]} |
4cc8fdf643623554248c80df084685b2a3fa49f0b7142a1a25adcb1ca1a9b25b |
| 21431 | 21433 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":47,"exponent":1}]} |
fb7bdd7dca7373ceb8631debb654408d5fb3cd27d141bf5daee396848ed825b6 |
| 21465 | 21467 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10733,"exponent":1}]} |
54a61d795106b96dde785f301d3de3640118fc095ab6ec7c7273c99adefa6ea5 |
| 21479 | 21481 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":179,"exponent":1}]} |
5b1bea03cc88af4a32e8fb6d71bd36a5baa4d86d07ee7e20558ea2079158106e |
| 21485 | 21487 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3581,"exponent":1}]} |
6dcf79590faaca22caf0265d4198015afce117e01806739701bf723df369b4c4 |
| 21489 | 21491 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":307,"exponent":1}]} |
8dff5446a819fdcd393f97690c92bc52d616ab5404799259610103b436bee651 |
| 21491 | 21493 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":199,"exponent":1}]} |
7e2947007abe1c611b9b09f3021c8b2f35d1eba6aa215c8fee165f4c1a0b51a0 |
| 21497 | 21499 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3583,"exponent":1}]} |
e8219c2f6e91b6ee4a9948c2bfef828926af9f843587fea170f8efe893bec68c |
| 21501 | 21503 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":827,"exponent":1}]} |
32161d03f13e9d1fe39b94b50d534e1165524497518bcf7cb314802b33e8e950 |
| 21515 | 21517 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":163,"exponent":1}]} |
39f234553f0cdce0bb15afa3e9c45eadd6271948e2ff69d19133cbdb3be6e22e |
| 21519 | 21521 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":5,"exponent":1},{"prime":269,"exponent":1}]} |
f626b69ee423189c1f01efa89c032378001d0fcfd252ce36ee877eed8317564e |
| 21521 | 21523 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":211,"exponent":1}]} |
7a34b2677d33541e931864e84465d1a7aa1467ccfdbf892e53059b4e57657de2 |
| 21527 | 21529 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":13,"exponent":1},{"prime":23,"exponent":1}]} |
2bdf8149280f1afb85720ec1367c06306063fb4704007576a326599909d5a752 |
| 21555 | 21557 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":17,"exponent":1},{"prime":317,"exponent":1}]} |
0f214dfdb52a7ff65450178a294a28100a2209c84071d52b8103071c0b605fc2 |
| 21557 | 21559 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":15,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3593,"exponent":1}]} |
0d693a2565c204bfe0d1acedb865b8d5fd085763cb2202b7807bae24b36f9709 |
| 21561 | 21563 | PRIME | pcpq1_7f78514a3318f23de595cdc2f4bebee28f45e199 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":10781,"exponent":1}]} |
e9559f01ac741d066a4dc14fe2ebdb1adadb1b8e93084a944d475b80081d6152 |
| 21567 | 21569 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":6},{"prime":337,"exponent":1}]} |
6e242797910a805ea42dc925f9f5e27bf867297eecf13591913d8f535f7daf89 |
| 21575 | 21577 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":29,"exponent":1},{"prime":31,"exponent":1}]} |
68e43b02adda306ade76698be6fac086d1442d7e5e161386a9fb9864e6faa991 |
| 21585 | 21587 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":43,"exponent":1},{"prime":251,"exponent":1}]} |
38f856ef7f59c94b6a43bb2a390cb71c27b282d43935db091b96d565a83ed1cc |
| 21587 | 21589 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":257,"exponent":1}]} |
216c94dd2197f9e5df42252b5fe275241543e1013ec67ea842982a00bbf4de4b |
| 21597 | 21599 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":10799,"exponent":1}]} |
6e6b15d4f711c2bb3b63834ea386166f575c6332bd4dd922b93d66fc9f2fde4f |
| 21599 | 21601 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":3},{"prime":5,"exponent":2}]} |
d916b6812bcafce1f2c927df1e165c8a0934e5a1530407951e4e1f1d50a611c9 |
| 21609 | 21611 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":2161,"exponent":1}]} |
134698a244cbca2c0114238bfbb0b6b3a290998d8d0d9dde39052521021d5ae6 |
| 21611 | 21613 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1801,"exponent":1}]} |
8d63a479b6c858215985148bfed82babb8f9e88f48bcccdb1aef68a1095b1762 |
| 21615 | 21617 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":4},{"prime":7,"exponent":1},{"prime":193,"exponent":1}]} |
9322e0de63c5c25db63ee55bdf7d21482c31ca064b23a0939369d46b3b2c7d11 |
| 21645 | 21647 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":79,"exponent":1},{"prime":137,"exponent":1}]} |
b397aa8376cb99dbe5fc3d45b5e6a88a601c6c4bf6c1dc7cb7a4f992f54c33ad |
| 21647 | 21649 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":41,"exponent":1}]} |
a2a154a504657e74ad008e1341ee7a707a2b58b026787d7da669cf1c3f148191 |
| 21659 | 21661 | PRIME | pcpq1_9fdd98bfeb865bc8a86a8c0e8e75bf4b5a71a67f |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":19,"exponent":2}]} |
2c3c7e3deeaaffe47e181f2093702600bb9a3af8fd63be1f4c0e10ae495bd79d |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.