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50 lines
2.3 KiB
50 lines
2.3 KiB
From owner-cypherpunks@toad.com Mon Sep 25 10:50:51 1995
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by cygnus.com (8.6.12/8.6.9) with ESMTP id RAA18442
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for <cypherpunks@toad.com>; Mon, 25 Sep 1995 17:52:47 -0700
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Received: (karn@localhost) by servo.qualcomm.com (8.6.12/QC-BSD-2.5.1)
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id RAA14732; Mon, 25 Sep 1995 17:50:51 -0700
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Date: Mon, 25 Sep 1995 17:50:51 -0700
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From: Phil Karn <karn@qualcomm.com>
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Message-Id: <199509260050.RAA14732@servo.qualcomm.com>
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To: cypherpunks@toad.com, ipsec-dev@eit.com
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Subject: Primality verification needed
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Sender: owner-cypherpunks@toad.com
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Precedence: bulk
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Status: RO
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X-Status:
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Hi. I've generated a 2047-bit "strong" prime number that I would like to
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use with Diffie-Hellman key exchange. I assert that not only is this number
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'p' prime, but so is (p-1)/2.
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I've used the mpz_probab_prime() function in the Gnu Math Package (GMP) version
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1.3.2 to test this number. This function uses the Miller-Rabin primality test.
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However, to increase my confidence that this number really is a strong prime,
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I'd like to ask others to confirm it with other tests. Here's the number in hex:
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72a925f760b2f954ed287f1b0953f3e6aef92e456172f9fe86fdd8822241b9c9788fbc289982743e
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fbcd2ccf062b242d7a567ba8bbb40d79bca7b8e0b6c05f835a5b938d985816bc648985adcff5402a
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a76756b36c845a840a1d059ce02707e19cf47af0b5a882f32315c19d1b86a56c5389c5e9bee16b65
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fde7b1a8d74a7675de9b707d4c5a4633c0290c95ff30a605aeb7ae864ff48370f13cf01d49adb9f2
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3d19a439f753ee7703cf342d87f431105c843c78ca4df639931f3458fae8a94d1687e99a76ed99d0
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ba87189f42fd31ad8262c54a8cf5914ae6c28c540d714a5f6087a171fb74f4814c6f968d72386ef3
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56a05180c3bec7ddd5ef6fe76b1f717b
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The generator, g, for this prime is 2.
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Thanks!
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Phil Karn
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