From 0194bc4a99e57fdded7d6132debed20e5e19ce32 Mon Sep 17 00:00:00 2001
From: jadep <jade.philipoom@gmail.com>
Date: Fri, 13 Oct 2017 15:53:01 -0400
Subject: add primes list andres scraped from curves at moderncrypto dot org

---
 primes.txt | 92 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 92 insertions(+)
 create mode 100644 primes.txt

(limited to 'primes.txt')

diff --git a/primes.txt b/primes.txt
new file mode 100644
index 000000000..9b48fb6bc
--- /dev/null
+++ b/primes.txt
@@ -0,0 +1,92 @@
+# single-tap:
+
+2^127 - 1 # "kummer strikes back"
+2^129 - 25
+2^130 - 5 # poly1305
+2^137 - 13
+2^140 - 27
+2^141 - 9
+2^150 - 5
+2^150 - 3
+2^152 - 17
+2^158 - 15
+2^165 - 25
+2^166 - 5
+2^171 - 19
+2^174 - 17
+2^174 - 3
+2^189 - 25
+2^190 - 11
+2^191 - 19
+2^194 - 33
+2^196 - 15
+2^198 - 17
+2^206 - 5
+2^212 - 29
+2^213 - 3
+2^221 - 3
+2^222 - 117
+2^226 - 5
+2^230 - 27
+2^235 - 15
+2^243 - 9
+2^251 - 9
+2^255 - 765
+2^255 - 19 # curve25519
+2^256 - 189
+2^266 - 3
+2^285 - 9
+2^291 - 19
+2^321 - 9
+2^336 - 17
+2^336 - 3
+2^338 - 15
+2^369 - 25
+2^379 - 19
+2^382 - 105
+2^383 - 421
+2^383 - 187
+2^383 - 31
+2^384 - 317
+2^389 - 21
+2^401 - 31
+2^413 - 21
+2^414 - 17
+2^444 - 17
+2^452 - 3
+2^468 - 17
+2^488 - 17
+2^489 - 21
+2^495 - 31
+2^511 - 481
+2^511 - 187
+2^512 - 569
+2^521 - 1 # p512
+
+# two taps, golden ratio:
+
+2^192 - 2^64 - 1
+2^216 - 2^108 - 1
+2^322 - 2^161 - 1
+2^416 - 2^208 - 1
+2^448 - 2^224 - 1 # goldilocks
+2^450 - 2^225 - 1
+2^480 - 2^240 - 1 # ridinghood
+
+# two ore more taps
+
+2^205 - 45*2^198 - 1
+2^224 - 2^96 + 1 # p224
+2^255 - 2^4 - 2^1 - 1
+2^256 - 2^224 + 2^192 + 2^96 - 1 # p256
+2^256 - 2^32 - 977 # bitcoin
+2^384 - 2^128 - 2^96 + 2^32 - 1 # p384
+
+# Montgomery-Friendly
+
+# 2^240*(2^16 - 88) - 1
+# 2^240*(2^14 - 127) - 1
+# 2^376*(2^8 - 79) - 1
+# 2^368*(2^14 - 5) - 1
+# 2^496*(2^16 - 491) - 1
+# 2^496*(2^14 - 290) - 1
-- 
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