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
24527Records
24528Primes
2721Composites
21807Record Browser
Showing heights 18486 to 19485. Use 1000-record pages for broad chain inspection.
| Height | Integer | Type | Provider | Evidence | Record Hash |
|---|---|---|---|---|---|
| 18491 | 18493 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":23,"exponent":1},{"prime":67,"exponent":1}]} |
dc2689ba3c25c26d8a450d1dfbbfc062a7ce9fcaca96ce3745c3b587ebf1bda5 |
| 18501 | 18503 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":29,"exponent":2}]} |
27e39efbb6a2b6e50d578edaaefc7f93df89dd6f8d3a0879cae3c6aad67a473b |
| 18515 | 18517 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1543,"exponent":1}]} |
7f45892ccc4954a8abd7cc526e35440a14b83ef9e38a04b44f179dfe27666cf1 |
| 18519 | 18521 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":1},{"prime":463,"exponent":1}]} |
85344104e756037491e52ef9b1ed7531094d06fc4b3fb6ef6355703f41bbd0c5 |
| 18521 | 18523 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":7,"exponent":3}]} |
3089faacbffbcb38b603a98ebecbc4eac0abfac707815aa5747f8b7f202a233c |
| 18537 | 18539 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":23,"exponent":1},{"prime":31,"exponent":1}]} |
e91d7343c7c353da3f924c9006cf38d1974b3a1c3c9b9fdad5ebcb193cd5aa7a |
| 18539 | 18541 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":103,"exponent":1}]} |
949a67574c907f05a407c5c69f5bbce02c753b345b36b69e9367d97f7ee7a2ab |
| 18551 | 18553 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":773,"exponent":1}]} |
21e597435cfa8d75daef2e0b85dee6668d97dc15c70af987729b0a287613a93b |
| 18581 | 18583 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":19,"exponent":1},{"prime":163,"exponent":1}]} |
62079a234b8ab8b3b88407c732c97f82c83f7656817995fa348507c15ada2dad |
| 18585 | 18587 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":9293,"exponent":1}]} |
690382a7ac180192fc9aef99640e8a05fa6828289ccb7de28f5baf142857d73a |
| 18591 | 18593 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":5},{"prime":7,"exponent":1},{"prime":83,"exponent":1}]} |
12447c6f6865208872ca818e51df95a94096c8603169dcac5659888836274c53 |
| 18615 | 18617 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":13,"exponent":1},{"prime":179,"exponent":1}]} |
b7a737bdcbc33cc42d537e7d52da3fe2542203a21eca6ea8c4cb1892d1da4353 |
| 18635 | 18637 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1553,"exponent":1}]} |
cb099033df62d4d9652c8ab4f71c81eab3b04ffaa66d8b4fb1f0fdba727ac45b |
| 18659 | 18661 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":10,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":311,"exponent":1}]} |
2d95af503d0d54133b917cd858da77244dd5d70e4ecb3300510422102b7fae8a |
| 18669 | 18671 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1867,"exponent":1}]} |
82163aceaa455537cb605c012d6612ca7168c0a5e7b885520abe09271a0e03eb |
| 18677 | 18679 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":283,"exponent":1}]} |
82444f904be8a0a85a3f75bca9b352411e5d613a1c7361f5cb98a8401bbd5d3b |
| 18689 | 18691 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":89,"exponent":1}]} |
41448d3e3a219332c729b9d25429d4fd7f781981c5b1c6f970bbd56aff649882 |
| 18699 | 18701 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":11,"exponent":1},{"prime":17,"exponent":1}]} |
0bf1125ff858a675ffa3239d44ef7471bfea8d249f69769f4858b68353b64e00 |
| 18711 | 18713 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":2339,"exponent":1}]} |
0fd5b208ef8089ab1755de75036fe7fa64dda7a64785f9b28fddaa3a1b681160 |
| 18717 | 18719 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":2},{"prime":191,"exponent":1}]} |
c58b507fdc14e5ee9b0082dcc600b317a52e590fef60da66fce8ae45148e67ca |
| 18729 | 18731 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":1873,"exponent":1}]} |
5dade1820f9f8cd7dcdd0383f5dad0466ebc69a63ae66abff5666dc19ba3672e |
| 18741 | 18743 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":9371,"exponent":1}]} |
607659e18441dc26b873952591fed5fa5cba0c1d99ab8506ca4aad7b326c4764 |
| 18747 | 18749 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":43,"exponent":1},{"prime":109,"exponent":1}]} |
77965a8b3d1beff0176f2eb255fd4ee9e6788fe47b7c9d8c1843e60f8d13ef49 |
| 18755 | 18757 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":521,"exponent":1}]} |
3744637d6e325ac5da60fd982177f5801976ac3ecd29bb574a59c7c7f62bcf23 |
| 18771 | 18773 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":13,"exponent":1},{"prime":19,"exponent":2}]} |
e8c6af15e15bc9258d5fc134f505b09eccec417130699cb8fe5c0f8175dae99c |
| 18785 | 18787 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":31,"exponent":1},{"prime":101,"exponent":1}]} |
e2495b1b1b6ab76b299ba5efdaa6072e3ab29bc7a0c6d424726ee192685133ef |
| 18791 | 18793 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":4},{"prime":29,"exponent":1}]} |
43e83f75fdcdc7a03828abe8f9210c8f6703a318a2bb4d91e379834d97a75d2b |
| 18795 | 18797 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":37,"exponent":1},{"prime":127,"exponent":1}]} |
ca259e66f2682342f98903cc0381137046960d3dcd3398f0aea0c863dc457c76 |
| 18801 | 18803 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":17,"exponent":1},{"prime":79,"exponent":1}]} |
b1bdab8f8bbedd88807f59e1e046413d06fdc050cae0f526c6e7874a89a3697b |
| 18837 | 18839 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":9419,"exponent":1}]} |
c293fe07af085e6e6ddfe609483e776be45141c8eace18a570e0b7b1e6fa8cc5 |
| 18857 | 18859 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":449,"exponent":1}]} |
41c7ed6be081e14a430e817827800410bfcc7f89479cd9e7375524820726bff4 |
| 18867 | 18869 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":53,"exponent":1},{"prime":89,"exponent":1}]} |
724f08bd864f5a653f54ebe82106148941f8c4901b7987644892bf95d5c738b9 |
| 18897 | 18899 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":859,"exponent":1}]} |
0133a99b98e8d59d7c49bbbbae5f18837dc70592c9c36bf23037053ee50a3547 |
| 18909 | 18911 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":14,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":31,"exponent":1},{"prime":61,"exponent":1}]} |
77d11d4074ea8833c003d567c1a352fb0b18efd651f7e77c8b6c764c2125331b |
| 18911 | 18913 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":5},{"prime":3,"exponent":1},{"prime":197,"exponent":1}]} |
ad45934d51f09139d061560703e06d843aedaadcf3613044939a9fb5e0d50709 |
| 18915 | 18917 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":4729,"exponent":1}]} |
0adde2d3205ac80f243e1233c7bb300f8575b9cc18a657138e6901ed825813f8 |
| 18917 | 18919 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":1051,"exponent":1}]} |
f83773e812becb34648dc16df9381cd7e9ca945a89bfefc08bbb9b7c2685cc72 |
| 18945 | 18947 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":9473,"exponent":1}]} |
06749c9e01c1039192fb28bab4bf27c655714c253a8eb6c647a365dc0a9bb425 |
| 18957 | 18959 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":1},{"prime":9479,"exponent":1}]} |
1f59cdc54de5c246f72772dc44877b60bfa16d02abcf856e6b9425415a531795 |
| 18971 | 18973 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":17,"exponent":1},{"prime":31,"exponent":1}]} |
7e8e678fd538c89673675654ee8fa1d773d984f11080bf9f7c44b1f917166224 |
| 18977 | 18979 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3163,"exponent":1}]} |
70af402a4484ad1c0c46cef0dc0b7198f846cc5ced46ac263da4e1faa312e4d7 |
| 18999 | 19001 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":5,"exponent":3},{"prime":19,"exponent":1}]} |
6bee00a6633095155066e4630421000dcee3ee05fe8656b5b74a2230353e5eaf |
| 19007 | 19009 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":23,"factors":[{"prime":2,"exponent":6},{"prime":3,"exponent":3},{"prime":11,"exponent":1}]} |
6acf64895511f215c163761d26b793aa8aa75d9712397821f311e57993196a58 |
| 19011 | 19013 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":7,"exponent":2},{"prime":97,"exponent":1}]} |
605e2318b5b9622f4f3f7add01efd9e3521a5f7ee66a3ec85353e51aeea46588 |
| 19029 | 19031 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":173,"exponent":1}]} |
a32e97150ccd482f0041d9c70f6c8e675758df991b3372952bb9a0ee0f9eac0e |
| 19035 | 19037 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":4759,"exponent":1}]} |
cd63447519ad5cbfe1d79da168529b95a7d977f293d6e4f8f2f22029d14af149 |
| 19049 | 19051 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":2},{"prime":127,"exponent":1}]} |
f03d8c9c04c730b863e5a54e9c2a5b4be5d3038b0701cea9b700c698d680d06f |
| 19067 | 19069 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":227,"exponent":1}]} |
9ba3be1a14f56f092ad89a99f178720958ef078709807f80513d30ab7e91b25a |
| 19071 | 19073 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":7},{"prime":149,"exponent":1}]} |
da09541bd97c1b5dd94cad439a48a1e15dc4389a37ab8e3f2e1c70c910acdad2 |
| 19077 | 19079 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":1},{"prime":9539,"exponent":1}]} |
323d70fe8eed6c4ff65a6aa5868f94b2d7094ed5242714746af7d462ed9f1b69 |
| 19079 | 19081 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":17,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":2},{"prime":5,"exponent":1},{"prime":53,"exponent":1}]} |
2fc30f88f626aa0a4b6352a06007ae1f525ca9c82f26ecb80ab21f75fb1458dd |
| 19085 | 19087 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":19,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3181,"exponent":1}]} |
899c6aceb7e4d066e2573d9099ad1565d8859ff5106aef438f4a0a8b81b915b5 |
| 19119 | 19121 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":4},{"prime":5,"exponent":1},{"prime":239,"exponent":1}]} |
62d2f979c906eb0c4cc3a73f516f521a4d52dc9f97bf442d5c8080885f0473fd |
| 19137 | 19139 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":7,"exponent":1},{"prime":1367,"exponent":1}]} |
f4f8d8de434151884269b63b718235cfe4d648acde0998a899321558f9130f8d |
| 19139 | 19141 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":29,"exponent":1}]} |
8b65077dea43a173f460d6cbe4f88934d0cb82935c555357636fbc0807ce682f |
| 19155 | 19157 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":4789,"exponent":1}]} |
cb07c6310e00fe82deb7dc067e0f99b637c89e419819d7a711ab1f497a7c58d2 |
| 19161 | 19163 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":13,"exponent":1},{"prime":67,"exponent":1}]} |
4349e2e3cfdf28127f16e0eb5d007df192750246c32dcb3c8a479c62fd1a8205 |
| 19179 | 19181 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":137,"exponent":1}]} |
06650deb2722e563e7b038402107ba74947ac9f523c783a0e974525ae8dd5b32 |
| 19181 | 19183 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":23,"exponent":1},{"prime":139,"exponent":1}]} |
b13fe7178f8b491a7b09e550bdbef65d0e2990959494966129f7c1f1e62bb78c |
| 19205 | 19207 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":11,"exponent":1},{"prime":97,"exponent":1}]} |
237cdbe9c5ebc667c6250697d4079b3adccb4fd2869c20037a691573cab4b21d |
| 19209 | 19211 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":113,"exponent":1}]} |
11bdeef8c184e402168616af45ae9beba54e75a37b8dc279331a0271788e21cd |
| 19211 | 19213 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1601,"exponent":1}]} |
81bcd9b200c50bae4648bbd52f12438ec43132da3ebfa47b60fb8bb155cf551c |
| 19217 | 19219 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":3203,"exponent":1}]} |
43e8ea4779fd6161dddb0f6773e4c7839af18b3d8628654bef2e892976202ae1 |
| 19229 | 19231 | PRIME | pcpq1_26c8023800946ed439718c146820067cb26ef7b1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":641,"exponent":1}]} |
fe46a57d73c1af91e18e9377d768d764a67593977550caeaecb1a8700a553987 |
| 19235 | 19237 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":229,"exponent":1}]} |
52521353ca255926cfdb504cd6b7be998b3ca2c5b44a66048043b8de224a9805 |
| 19247 | 19249 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":1},{"prime":401,"exponent":1}]} |
f54d4f751214f43cba762a60743ffdaf97e3894f2f1dc6502658a8dc921d2623 |
| 19257 | 19259 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":9629,"exponent":1}]} |
eac1e22e0b08f96ce82d651c17314e3804c984253e6b02c529e059807a686de6 |
| 19265 | 19267 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":13,"exponent":2},{"prime":19,"exponent":1}]} |
a8ce062d1698234271b87d372a63229a60557b6908a2e39c0df16ccee090c3ba |
| 19271 | 19273 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":11,"exponent":1},{"prime":73,"exponent":1}]} |
84a1fd1e5af43d02c10994605f87e413251757285c99ab197a0ff76f6742a433 |
| 19287 | 19289 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":2411,"exponent":1}]} |
fe3b638e789cbc1e497d552063722ff2ac1e0a23a8f07e76b18c20faad59bfe5 |
| 19299 | 19301 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":2},{"prime":193,"exponent":1}]} |
c3018155a11109b36de5a33f856f00e3b694580d9cdc2093fcf1160d5963efe8 |
| 19307 | 19309 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1609,"exponent":1}]} |
ffcf4d4949a0d2f4195e06fa58f1556cffe5845c31bec59188c5b4f505ebbec6 |
| 19317 | 19319 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":13,"exponent":1},{"prime":743,"exponent":1}]} |
dedc5f6643d84668297247ef0b9d78634447ad14f3676bb262588932a63b8115 |
| 19331 | 19333 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":3},{"prime":179,"exponent":1}]} |
4aa4befa40e20a08a50c048bef15e4679e5adb61f72d40ec74cafb2e84de3f12 |
| 19371 | 19373 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":29,"exponent":1},{"prime":167,"exponent":1}]} |
45aabd331e1fb299c56c3142fbd2dd2b1218176307aba9c2aeea7d6a4ecec9bc |
| 19377 | 19379 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":9689,"exponent":1}]} |
f6e246f4ae5d000cc620e922d9a5224544686e4cd51ed38c883ce4430b92041e |
| 19379 | 19381 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":7,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":17,"exponent":1},{"prime":19,"exponent":1}]} |
8419256b5b3e230a94722ba7784cca74e0cdcd233b28b637b78597f46f80b24d |
| 19385 | 19387 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":3},{"prime":359,"exponent":1}]} |
6044586717171b894fb16390df87d5ec818ee1588a4636f3914ad8525d8910f7 |
| 19389 | 19391 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":5,"exponent":1},{"prime":7,"exponent":1},{"prime":277,"exponent":1}]} |
0180fc682eb9ab7c805e6c18120cb1e0fbc6af7e7724d47c03da0d4c57f36884 |
| 19401 | 19403 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":89,"exponent":1},{"prime":109,"exponent":1}]} |
8e6c361542f1bbd2b404514556af9260a8053543cc2d0ddcb3685c5851b6b957 |
| 19415 | 19417 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":3},{"prime":3,"exponent":1},{"prime":809,"exponent":1}]} |
291d361d0f3323ccd423176ca9f7a64248be7488738865df66009d60fb38c233 |
| 19419 | 19421 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":2},{"prime":5,"exponent":1},{"prime":971,"exponent":1}]} |
6207dedc95b4237685b8f53e2be820c8cadbb8156f245d2c6227d677d6c5b695 |
| 19421 | 19423 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":2},{"prime":13,"exponent":1},{"prime":83,"exponent":1}]} |
602979470178aa5bdbaca70fde0647eaab3849b07ed857fd6a977553322635e3 |
| 19425 | 19427 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":11,"exponent":1},{"prime":883,"exponent":1}]} |
828984b2cde07d0b97f2f0f028a9f7383286b09f93131e87231a4eda2fac89f9 |
| 19427 | 19429 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":1},{"prime":1619,"exponent":1}]} |
dd56bad97789dd10427ac3d6f847e6a8c0cd08b01e99910b3107312f7d3e4d0e |
| 19431 | 19433 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":3},{"prime":7,"exponent":1},{"prime":347,"exponent":1}]} |
3e41993e5fdcb06b16bd7602e1727aaefd50d0f6ab5df6c7d6172505866545ef |
| 19439 | 19441 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":13,"factors":[{"prime":2,"exponent":4},{"prime":3,"exponent":5},{"prime":5,"exponent":1}]} |
e553fcf7b8865bcafdbe5ca811a803d4cb9921a1f02c59423ebab42ce0703e9b |
| 19445 | 19447 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":7,"exponent":1},{"prime":463,"exponent":1}]} |
a59d9fe72bc2ae46461d2fc6a4fa1d082dfd8a28c39357d8a4b2f0510553c061 |
| 19455 | 19457 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":3,"factors":[{"prime":2,"exponent":10},{"prime":19,"exponent":1}]} |
d25d0373df716ba74795efe17d4b4be595bc640907c8571afa7e62df8ee5a2f6 |
| 19461 | 19463 | PRIME | pcpq1_d56852e3c263421faae3a948334893b3ca6c3bf0 |
Pratt proof
view{"witness":5,"factors":[{"prime":2,"exponent":1},{"prime":37,"exponent":1},{"prime":263,"exponent":1}]} |
8cc879ac7cf41e355f356e904286d0917e8a9f593b02622bede561edeac10a1b |
| 19467 | 19469 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":2},{"prime":31,"exponent":1},{"prime":157,"exponent":1}]} |
3e6dfb33cc3b2f022e021e8df27c2083af1d2374b25c18c7b8b68f6e4bb6805e |
| 19469 | 19471 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":11,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":5,"exponent":1},{"prime":11,"exponent":1},{"prime":59,"exponent":1}]} |
04b743c898062d32c58cb637f1a4a7281506a1d8a10651fe7fa8a5afc79fd31f |
| 19475 | 19477 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":6,"factors":[{"prime":2,"exponent":2},{"prime":3,"exponent":2},{"prime":541,"exponent":1}]} |
5cfcdbad9dd050763917829fe71c91b7d4de9f91bcb680321f5c62a16c77f376 |
| 19481 | 19483 | PRIME | pcpq1_fd26c4d92e4807b456060032ceb975b0740b05a1 |
Pratt proof
view{"witness":2,"factors":[{"prime":2,"exponent":1},{"prime":3,"exponent":1},{"prime":17,"exponent":1},{"prime":191,"exponent":1}]} |
43edec65375549ccaba2ba4e0b329e6ef15af216d34ba29781bd1bd755681984 |
Reference Evidence
The original command-line evidence snapshots remain available for download. The indexed browser above is the live presentation layer.