diff --git a/l4/z1/rsa-rs/Cargo.lock b/l4/z1/rsa-rs/Cargo.lock
index 6750a8e..a18a750 100644
--- a/l4/z1/rsa-rs/Cargo.lock
+++ b/l4/z1/rsa-rs/Cargo.lock
@@ -2,18 +2,85 @@
 # It is not intended for manual editing.
 version = 3
 
+[[package]]
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+checksum = "e89da841a80418a9b391ebaea17f5c112ffaaa96f621d2c285b5174da76b9011"
+dependencies = [
+ "cfg-if",
+ "once_cell",
+ "version_check",
+ "zerocopy",
+]
+
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+checksum = "5c6cb57a04249c6480766f7f7cef5467412af1490f8d1e243141daddada3264f"
+
 [[package]]
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 checksum = "0c4b4d0bd25bd0b74681c0ad21497610ce1b7c91b1022cd21c80c6fbdd9476b0"
 
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+dependencies = [
+ "funty",
+ "radium",
+ "tap",
+ "wyz",
+]
+
 [[package]]
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 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
 
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+ "crossbeam-epoch",
+ "crossbeam-utils",
+]
+
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+checksum = "5b82ac4a3c2ca9c3460964f020e1402edd5753411d7737aa39c3714ad1b5420e"
+dependencies = [
+ "crossbeam-utils",
+]
+
+[[package]]
+name = "crossbeam-utils"
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+source = "registry+https://github.com/rust-lang/crates.io-index"
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+
+[[package]]
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+
+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e6d5a32815ae3f33302d95fdcb2ce17862f8c65363dcfd29360480ba1001fc9c"
+
 [[package]]
 name = "getrandom"
 version = "0.2.15"
@@ -25,12 +92,31 @@ dependencies = [
  "wasi",
 ]
 
+[[package]]
+name = "hashbrown"
+version = "0.14.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e5274423e17b7c9fc20b6e7e208532f9b19825d82dfd615708b70edd83df41f1"
+dependencies = [
+ "ahash",
+ "allocator-api2",
+]
+
 [[package]]
 name = "libc"
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 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ae743338b92ff9146ce83992f766a31066a91a8c84a45e0e9f21e7cf6de6d346"
 
+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "d3262e75e648fce39813cb56ac41f3c3e3f65217ebf3844d818d1f9398cfb0dc"
+dependencies = [
+ "hashbrown",
+]
+
 [[package]]
 name = "num-bigint"
 version = "0.4.5"
@@ -51,6 +137,44 @@ dependencies = [
  "num-traits",
 ]
 
+[[package]]
+name = "num-iter"
+version = "0.1.45"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
+dependencies = [
+ "autocfg",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
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+version = "0.5.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "64a5fe11d4135c3bcdf3a95b18b194afa9608a5f6ff034f5d857bc9a27fb0119"
+dependencies = [
+ "num-bigint",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e238432a7881ec7164503ccc516c014bf009be7984cde1ba56837862543bdec3"
+dependencies = [
+ "bitvec",
+ "either",
+ "lru",
+ "num-bigint",
+ "num-integer",
+ "num-modular",
+ "num-traits",
+ "rand",
+]
+
 [[package]]
 name = "num-traits"
 version = "0.2.19"
@@ -60,12 +184,42 @@ dependencies = [
  "autocfg",
 ]
 
+[[package]]
+name = "once_cell"
+version = "1.19.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "3fdb12b2476b595f9358c5161aa467c2438859caa136dec86c26fdd2efe17b92"
+
 [[package]]
 name = "ppv-lite86"
 version = "0.2.17"
 source = "registry+https://github.com/rust-lang/crates.io-index"
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+[[package]]
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "8ad3d49ab951a01fbaafe34f2ec74122942fe18a3f9814c3268f1bb72042131b"
+dependencies = [
+ "unicode-ident",
+]
+
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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0fa76aaf39101c457836aec0ce2316dbdc3ab723cdda1c6bd4e6ad4208acaca7"
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+ "proc-macro2",
+]
+
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+checksum = "dc33ff2d4973d518d823d61aa239014831e521c75da58e3df4840d3f47749d09"
+
 [[package]]
 name = "rand"
 version = "0.8.5"
@@ -96,17 +250,98 @@ dependencies = [
  "getrandom",
 ]
 
+[[package]]
+name = "rayon"
+version = "1.10.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b418a60154510ca1a002a752ca9714984e21e4241e804d32555251faf8b78ffa"
+dependencies = [
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+ "rayon-core",
+]
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+dependencies = [
+ "crossbeam-deque",
+ "crossbeam-utils",
+]
+
 [[package]]
 name = "rsa"
 version = "0.1.0"
 dependencies = [
  "num-bigint",
+ "num-iter",
+ "num-prime",
  "num-traits",
  "rand",
+ "rayon",
 ]
 
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+dependencies = [
+ "proc-macro2",
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+ "unicode-ident",
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+
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+
 [[package]]
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 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "9c8d87e72b64a3b4db28d11ce29237c246188f4f51057d65a7eab63b7987e423"
+
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+checksum = "05f360fc0b24296329c78fda852a1e9ae82de9cf7b27dae4b7f62f118f77b9ed"
+dependencies = [
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+[[package]]
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+checksum = "ae87e3fcd617500e5d106f0380cf7b77f3c6092aae37191433159dda23cfb087"
+dependencies = [
+ "zerocopy-derive",
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+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn",
+]
diff --git a/l4/z1/rsa-rs/Cargo.toml b/l4/z1/rsa-rs/Cargo.toml
index cb6beb2..996b67c 100644
--- a/l4/z1/rsa-rs/Cargo.toml
+++ b/l4/z1/rsa-rs/Cargo.toml
@@ -7,3 +7,6 @@ edition = "2021"
 rand = "0.8.5"
 num-bigint = { version = "0.4.5", features = [ "rand" ] }
 num-traits = "0.2.19"
+num-iter = "0.1.45"
+num-prime = "0.4.4"
+rayon = "1.10.0"