X-Git-Url: https://git.distorted.org.uk/u/mdw/putty/blobdiff_plain/e4b4f5a12c4cee51af31de2b7c5def0273a49ca5..edb548cd8283b5e3f680a0a8b641f9afb12d4ba4:/sshprime.c

diff --git a/sshprime.c b/sshprime.c
index b48ce1a3..03b9c728 100644
--- a/sshprime.c
+++ b/sshprime.c
@@ -123,1061 +123,706 @@
  * for i in list[1:]: sys.stdout.write("%d," % i)
  */
 static const unsigned short primes[] = {
-    3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67,
-    71, 73, 79, 83, 89, 97, 101,
-    103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173,
-    179, 181, 191, 193,
-    197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271,
-    277, 281, 283, 293,
-    307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383,
-    389, 397, 401, 409,
-    419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491,
-    499, 503, 509, 521,
-    523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613,
-    617, 619, 631, 641,
-    643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733,
-    739, 743, 751, 757,
-    761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857,
-    859, 863, 877, 881,
-    883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983,
-    991, 997, 1009,
-    1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087,
-    1091, 1093,
-    1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187,
-    1193, 1201,
-    1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289,
-    1291, 1297,
-    1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409,
-    1423, 1427,
-    1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489,
-    1493, 1499,
-    1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597,
-    1601, 1607,
-    1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697,
-    1699, 1709,
-    1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801,
-    1811, 1823,
-    1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913,
-    1931, 1933,
-    1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027,
-    2029, 2039,
-    2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131,
-    2137, 2141,
-    2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251,
-    2267, 2269,
-    2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351,
-    2357, 2371,
-    2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447,
-    2459, 2467,
-    2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591,
-    2593, 2609,
-    2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689,
-    2693, 2699,
-    2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789,
-    2791, 2797,
-    2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897,
-    2903, 2909,
-    2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019,
-    3023, 3037,
-    3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163,
-    3167, 3169,
-    3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259,
-    3271, 3299,
-    3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371,
-    3373, 3389,
-    3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499,
-    3511, 3517,
-    3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593,
-    3607, 3613,
-    3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701,
-    3709, 3719,
-    3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823,
-    3833, 3847,
-    3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929,
-    3931, 3943,
-    3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051,
-    4057, 4073,
-    4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159,
-    4177, 4201,
-    4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273,
-    4283, 4289,
-    4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421,
-    4423, 4441,
-    4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523,
-    4547, 4549,
-    4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651,
-    4657, 4663,
-    4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787,
-    4789, 4793,
-    4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919,
-    4931, 4933,
-    4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009,
-    5011, 5021,
-    5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119,
-    5147, 5153,
-    5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273,
-    5279, 5281,
-    5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407,
-    5413, 5417,
-    5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503,
-    5507, 5519,
-    5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641,
-    5647, 5651,
-    5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741,
-    5743, 5749,
-    5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851,
-    5857, 5861,
-    5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987,
-    6007, 6011,
-    6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113,
-    6121, 6131,
-    6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229,
-    6247, 6257,
-    6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337,
-    6343, 6353,
-    6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469,
-    6473, 6481,
-    6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599,
-    6607, 6619,
-    6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719,
-    6733, 6737,
-    6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841,
-    6857, 6863,
-    6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967,
-    6971, 6977,
-    6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079,
-    7103, 7109,
-    7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219,
-    7229, 7237,
-    7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351,
-    7369, 7393,
-    7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507,
-    7517, 7523,
-    7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591,
-    7603, 7607,
-    7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717,
-    7723, 7727,
-    7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867,
-    7873, 7877,
-    7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993,
-    8009, 8011,
-    8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117,
-    8123, 8147,
-    8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243,
-    8263, 8269,
-    8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377,
-    8387, 8389,
-    8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527,
-    8537, 8539,
-    8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647,
-    8663, 8669,
-    8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747,
-    8753, 8761,
-    8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863,
-    8867, 8887,
-    8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007,
-    9011, 9013,
-    9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137,
-    9151, 9157,
-    9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257,
-    9277, 9281,
-    9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391,
-    9397, 9403,
-    9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479,
-    9491, 9497,
-    9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629,
-    9631, 9643,
-    9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749,
-    9767, 9769,
-    9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859,
-    9871, 9883,
+    3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61,
+    67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131,
+    137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197,
+    199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271,
+    277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353,
+    359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433,
+    439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509,
+    521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601,
+    607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677,
+    683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769,
+    773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859,
+    863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953,
+    967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033,
+    1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103,
+    1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193,
+    1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279,
+    1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361,
+    1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447,
+    1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,
+    1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597,
+    1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667,
+    1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753,
+    1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861,
+    1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933,
+    1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017,
+    2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099,
+    2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203,
+    2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281,
+    2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357,
+    2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437,
+    2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543,
+    2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647,
+    2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707,
+    2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789,
+    2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861,
+    2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963,
+    2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061,
+    3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169,
+    3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257,
+    3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343,
+    3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449,
+    3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529,
+    3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607,
+    3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691,
+    3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779,
+    3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877,
+    3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947,
+    3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051,
+    4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139,
+    4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241,
+    4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337,
+    4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441,
+    4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519,
+    4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637,
+    4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721,
+    4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801,
+    4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931,
+    4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999,
+    5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,
+    5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189,
+    5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297,
+    5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407,
+    5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479,
+    5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569,
+    5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659,
+    5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749,
+    5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849,
+    5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927,
+    5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053,
+    6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143,
+    6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247,
+    6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323,
+    6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397,
+    6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547,
+    6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637,
+    6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719,
+    6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827,
+    6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911,
+    6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997,
+    7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109,
+    7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213,
+    7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321,
+    7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457,
+    7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537,
+    7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603,
+    7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699,
+    7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817,
+    7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907,
+    7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017,
+    8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117,
+    8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231,
+    8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311,
+    8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429,
+    8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539,
+    8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641,
+    8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719,
+    8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819,
+    8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923,
+    8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011,
+    9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127,
+    9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209,
+    9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319,
+    9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413,
+    9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479,
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+    47491, 47497, 47501, 47507, 47513, 47521, 47527, 47533, 47543,
+    47563, 47569, 47581, 47591, 47599, 47609, 47623, 47629, 47639,
+    47653, 47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717,
+    47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809,
+    47819, 47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917,
+    47933, 47939, 47947, 47951, 47963, 47969, 47977, 47981, 48017,
+    48023, 48029, 48049, 48073, 48079, 48091, 48109, 48119, 48121,
+    48131, 48157, 48163, 48179, 48187, 48193, 48197, 48221, 48239,
+    48247, 48259, 48271, 48281, 48299, 48311, 48313, 48337, 48341,
+    48353, 48371, 48383, 48397, 48407, 48409, 48413, 48437, 48449,
+    48463, 48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527,
+    48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611, 48619,
+    48623, 48647, 48649, 48661, 48673, 48677, 48679, 48731, 48733,
+    48751, 48757, 48761, 48767, 48779, 48781, 48787, 48799, 48809,
+    48817, 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883,
+    48889, 48907, 48947, 48953, 48973, 48989, 48991, 49003, 49009,
+    49019, 49031, 49033, 49037, 49043, 49057, 49069, 49081, 49103,
+    49109, 49117, 49121, 49123, 49139, 49157, 49169, 49171, 49177,
+    49193, 49199, 49201, 49207, 49211, 49223, 49253, 49261, 49277,
+    49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367, 49369,
+    49391, 49393, 49409, 49411, 49417, 49429, 49433, 49451, 49459,
+    49463, 49477, 49481, 49499, 49523, 49529, 49531, 49537, 49547,
+    49549, 49559, 49597, 49603, 49613, 49627, 49633, 49639, 49663,
+    49667, 49669, 49681, 49697, 49711, 49727, 49739, 49741, 49747,
+    49757, 49783, 49787, 49789, 49801, 49807, 49811, 49823, 49831,
+    49843, 49853, 49871, 49877, 49891, 49919, 49921, 49927, 49937,
+    49939, 49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033,
+    50047, 50051, 50053, 50069, 50077, 50087, 50093, 50101, 50111,
+    50119, 50123, 50129, 50131, 50147, 50153, 50159, 50177, 50207,
+    50221, 50227, 50231, 50261, 50263, 50273, 50287, 50291, 50311,
+    50321, 50329, 50333, 50341, 50359, 50363, 50377, 50383, 50387,
+    50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, 50513,
+    50527, 50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593,
+    50599, 50627, 50647, 50651, 50671, 50683, 50707, 50723, 50741,
+    50753, 50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849,
+    50857, 50867, 50873, 50891, 50893, 50909, 50923, 50929, 50951,
+    50957, 50969, 50971, 50989, 50993, 51001, 51031, 51043, 51047,
+    51059, 51061, 51071, 51109, 51131, 51133, 51137, 51151, 51157,
+    51169, 51193, 51197, 51199, 51203, 51217, 51229, 51239, 51241,
+    51257, 51263, 51283, 51287, 51307, 51329, 51341, 51343, 51347,
+    51349, 51361, 51383, 51407, 51413, 51419, 51421, 51427, 51431,
+    51437, 51439, 51449, 51461, 51473, 51479, 51481, 51487, 51503,
+    51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593,
+    51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679,
+    51683, 51691, 51713, 51719, 51721, 51749, 51767, 51769, 51787,
+    51797, 51803, 51817, 51827, 51829, 51839, 51853, 51859, 51869,
+    51871, 51893, 51899, 51907, 51913, 51929, 51941, 51949, 51971,
+    51973, 51977, 51991, 52009, 52021, 52027, 52051, 52057, 52067,
+    52069, 52081, 52103, 52121, 52127, 52147, 52153, 52163, 52177,
+    52181, 52183, 52189, 52201, 52223, 52237, 52249, 52253, 52259,
+    52267, 52289, 52291, 52301, 52313, 52321, 52361, 52363, 52369,
+    52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501, 52511,
+    52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 52579,
+    52583, 52609, 52627, 52631, 52639, 52667, 52673, 52691, 52697,
+    52709, 52711, 52721, 52727, 52733, 52747, 52757, 52769, 52783,
+    52807, 52813, 52817, 52837, 52859, 52861, 52879, 52883, 52889,
+    52901, 52903, 52919, 52937, 52951, 52957, 52963, 52967, 52973,
+    52981, 52999, 53003, 53017, 53047, 53051, 53069, 53077, 53087,
+    53089, 53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161,
+    53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 53267,
+    53269, 53279, 53281, 53299, 53309, 53323, 53327, 53353, 53359,
+    53377, 53381, 53401, 53407, 53411, 53419, 53437, 53441, 53453,
+    53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593,
+    53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653,
+    53657, 53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773,
+    53777, 53783, 53791, 53813, 53819, 53831, 53849, 53857, 53861,
+    53881, 53887, 53891, 53897, 53899, 53917, 53923, 53927, 53939,
+    53951, 53959, 53987, 53993, 54001, 54011, 54013, 54037, 54049,
+    54059, 54083, 54091, 54101, 54121, 54133, 54139, 54151, 54163,
+    54167, 54181, 54193, 54217, 54251, 54269, 54277, 54287, 54293,
+    54311, 54319, 54323, 54331, 54347, 54361, 54367, 54371, 54377,
+    54401, 54403, 54409, 54413, 54419, 54421, 54437, 54443, 54449,
+    54469, 54493, 54497, 54499, 54503, 54517, 54521, 54539, 54541,
+    54547, 54559, 54563, 54577, 54581, 54583, 54601, 54617, 54623,
+    54629, 54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721,
+    54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829, 54833,
+    54851, 54869, 54877, 54881, 54907, 54917, 54919, 54941, 54949,
+    54959, 54973, 54979, 54983, 55001, 55009, 55021, 55049, 55051,
+    55057, 55061, 55073, 55079, 55103, 55109, 55117, 55127, 55147,
+    55163, 55171, 55201, 55207, 55213, 55217, 55219, 55229, 55243,
+    55249, 55259, 55291, 55313, 55331, 55333, 55337, 55339, 55343,
+    55351, 55373, 55381, 55399, 55411, 55439, 55441, 55457, 55469,
+    55487, 55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603,
+    55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663, 55667,
+    55673, 55681, 55691, 55697, 55711, 55717, 55721, 55733, 55763,
+    55787, 55793, 55799, 55807, 55813, 55817, 55819, 55823, 55829,
+    55837, 55843, 55849, 55871, 55889, 55897, 55901, 55903, 55921,
+    55927, 55931, 55933, 55949, 55967, 55987, 55997, 56003, 56009,
+    56039, 56041, 56053, 56081, 56087, 56093, 56099, 56101, 56113,
+    56123, 56131, 56149, 56167, 56171, 56179, 56197, 56207, 56209,
+    56237, 56239, 56249, 56263, 56267, 56269, 56299, 56311, 56333,
+    56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, 56437,
+    56443, 56453, 56467, 56473, 56477, 56479, 56489, 56501, 56503,
+    56509, 56519, 56527, 56531, 56533, 56543, 56569, 56591, 56597,
+    56599, 56611, 56629, 56633, 56659, 56663, 56671, 56681, 56687,
+    56701, 56711, 56713, 56731, 56737, 56747, 56767, 56773, 56779,
+    56783, 56807, 56809, 56813, 56821, 56827, 56843, 56857, 56873,
+    56891, 56893, 56897, 56909, 56911, 56921, 56923, 56929, 56941,
+    56951, 56957, 56963, 56983, 56989, 56993, 56999, 57037, 57041,
+    57047, 57059, 57073, 57077, 57089, 57097, 57107, 57119, 57131,
+    57139, 57143, 57149, 57163, 57173, 57179, 57191, 57193, 57203,
+    57221, 57223, 57241, 57251, 57259, 57269, 57271, 57283, 57287,
+    57301, 57329, 57331, 57347, 57349, 57367, 57373, 57383, 57389,
+    57397, 57413, 57427, 57457, 57467, 57487, 57493, 57503, 57527,
+    57529, 57557, 57559, 57571, 57587, 57593, 57601, 57637, 57641,
+    57649, 57653, 57667, 57679, 57689, 57697, 57709, 57713, 57719,
+    57727, 57731, 57737, 57751, 57773, 57781, 57787, 57791, 57793,
+    57803, 57809, 57829, 57839, 57847, 57853, 57859, 57881, 57899,
+    57901, 57917, 57923, 57943, 57947, 57973, 57977, 57991, 58013,
+    58027, 58031, 58043, 58049, 58057, 58061, 58067, 58073, 58099,
+    58109, 58111, 58129, 58147, 58151, 58153, 58169, 58171, 58189,
+    58193, 58199, 58207, 58211, 58217, 58229, 58231, 58237, 58243,
+    58271, 58309, 58313, 58321, 58337, 58363, 58367, 58369, 58379,
+    58391, 58393, 58403, 58411, 58417, 58427, 58439, 58441, 58451,
+    58453, 58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573,
+    58579, 58601, 58603, 58613, 58631, 58657, 58661, 58679, 58687,
+    58693, 58699, 58711, 58727, 58733, 58741, 58757, 58763, 58771,
+    58787, 58789, 58831, 58889, 58897, 58901, 58907, 58909, 58913,
+    58921, 58937, 58943, 58963, 58967, 58979, 58991, 58997, 59009,
+    59011, 59021, 59023, 59029, 59051, 59053, 59063, 59069, 59077,
+    59083, 59093, 59107, 59113, 59119, 59123, 59141, 59149, 59159,
+    59167, 59183, 59197, 59207, 59209, 59219, 59221, 59233, 59239,
+    59243, 59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359,
+    59369, 59377, 59387, 59393, 59399, 59407, 59417, 59419, 59441,
+    59443, 59447, 59453, 59467, 59471, 59473, 59497, 59509, 59513,
+    59539, 59557, 59561, 59567, 59581, 59611, 59617, 59621, 59627,
+    59629, 59651, 59659, 59663, 59669, 59671, 59693, 59699, 59707,
+    59723, 59729, 59743, 59747, 59753, 59771, 59779, 59791, 59797,
+    59809, 59833, 59863, 59879, 59887, 59921, 59929, 59951, 59957,
+    59971, 59981, 59999, 60013, 60017, 60029, 60037, 60041, 60077,
+    60083, 60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139,
+    60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, 60257,
+    60259, 60271, 60289, 60293, 60317, 60331, 60337, 60343, 60353,
+    60373, 60383, 60397, 60413, 60427, 60443, 60449, 60457, 60493,
+    60497, 60509, 60521, 60527, 60539, 60589, 60601, 60607, 60611,
+    60617, 60623, 60631, 60637, 60647, 60649, 60659, 60661, 60679,
+    60689, 60703, 60719, 60727, 60733, 60737, 60757, 60761, 60763,
+    60773, 60779, 60793, 60811, 60821, 60859, 60869, 60887, 60889,
+    60899, 60901, 60913, 60917, 60919, 60923, 60937, 60943, 60953,
+    60961, 61001, 61007, 61027, 61031, 61043, 61051, 61057, 61091,
+    61099, 61121, 61129, 61141, 61151, 61153, 61169, 61211, 61223,
+    61231, 61253, 61261, 61283, 61291, 61297, 61331, 61333, 61339,
+    61343, 61357, 61363, 61379, 61381, 61403, 61409, 61417, 61441,
+    61463, 61469, 61471, 61483, 61487, 61493, 61507, 61511, 61519,
+    61543, 61547, 61553, 61559, 61561, 61583, 61603, 61609, 61613,
+    61627, 61631, 61637, 61643, 61651, 61657, 61667, 61673, 61681,
+    61687, 61703, 61717, 61723, 61729, 61751, 61757, 61781, 61813,
+    61819, 61837, 61843, 61861, 61871, 61879, 61909, 61927, 61933,
+    61949, 61961, 61967, 61979, 61981, 61987, 61991, 62003, 62011,
+    62017, 62039, 62047, 62053, 62057, 62071, 62081, 62099, 62119,
+    62129, 62131, 62137, 62141, 62143, 62171, 62189, 62191, 62201,
+    62207, 62213, 62219, 62233, 62273, 62297, 62299, 62303, 62311,
+    62323, 62327, 62347, 62351, 62383, 62401, 62417, 62423, 62459,
+    62467, 62473, 62477, 62483, 62497, 62501, 62507, 62533, 62539,
+    62549, 62563, 62581, 62591, 62597, 62603, 62617, 62627, 62633,
+    62639, 62653, 62659, 62683, 62687, 62701, 62723, 62731, 62743,
+    62753, 62761, 62773, 62791, 62801, 62819, 62827, 62851, 62861,
+    62869, 62873, 62897, 62903, 62921, 62927, 62929, 62939, 62969,
+    62971, 62981, 62983, 62987, 62989, 63029, 63031, 63059, 63067,
+    63073, 63079, 63097, 63103, 63113, 63127, 63131, 63149, 63179,
+    63197, 63199, 63211, 63241, 63247, 63277, 63281, 63299, 63311,
+    63313, 63317, 63331, 63337, 63347, 63353, 63361, 63367, 63377,
+    63389, 63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463,
+    63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 63541,
+    63559, 63577, 63587, 63589, 63599, 63601, 63607, 63611, 63617,
+    63629, 63647, 63649, 63659, 63667, 63671, 63689, 63691, 63697,
+    63703, 63709, 63719, 63727, 63737, 63743, 63761, 63773, 63781,
+    63793, 63799, 63803, 63809, 63823, 63839, 63841, 63853, 63857,
+    63863, 63901, 63907, 63913, 63929, 63949, 63977, 63997, 64007,
+    64013, 64019, 64033, 64037, 64063, 64067, 64081, 64091, 64109,
+    64123, 64151, 64153, 64157, 64171, 64187, 64189, 64217, 64223,
+    64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319, 64327,
+    64333, 64373, 64381, 64399, 64403, 64433, 64439, 64451, 64453,
+    64483, 64489, 64499, 64513, 64553, 64567, 64577, 64579, 64591,
+    64601, 64609, 64613, 64621, 64627, 64633, 64661, 64663, 64667,
+    64679, 64693, 64709, 64717, 64747, 64763, 64781, 64783, 64793,
+    64811, 64817, 64849, 64853, 64871, 64877, 64879, 64891, 64901,
+    64919, 64921, 64927, 64937, 64951, 64969, 64997, 65003, 65011,
+    65027, 65029, 65033, 65053, 65063, 65071, 65089, 65099, 65101,
+    65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171, 65173,
+    65179, 65183, 65203, 65213, 65239, 65257, 65267, 65269, 65287,
+    65293, 65309, 65323, 65327, 65353, 65357, 65371, 65381, 65393,
+    65407, 65413, 65419, 65423, 65437, 65447, 65449, 65479, 65497,
+    65519, 65521,
 };
 
 #define NPRIMES (sizeof(primes) / sizeof(*primes))
@@ -1193,11 +838,19 @@ static const unsigned short primes[] = {
  *    more than a multiple of a dirty great bignum. In this case
  *    `bits' gives the size of the factor by which we _multiply_
  *    that bignum, rather than the size of the whole number.
+ *
+ *  - for the basically cosmetic purposes of generating keys of the
+ *    length actually specified rather than off by one bit, we permit
+ *    the caller to provide an unsigned integer 'firstbits' which will
+ *    match the top few bits of the returned prime. (That is, there
+ *    will exist some n such that (returnvalue >> n) == firstbits.) If
+ *    'firstbits' is not needed, specifying it to either 0 or 1 is
+ *    an adequate no-op.
  */
 Bignum primegen(int bits, int modulus, int residue, Bignum factor,
-		int phase, progfn_t pfn, void *pfnparam)
+		int phase, progfn_t pfn, void *pfnparam, unsigned firstbits)
 {
-    int i, k, v, byte, bitsleft, check, checks;
+    int i, k, v, byte, bitsleft, check, checks, fbsize;
     unsigned long delta;
     unsigned long moduli[NPRIMES + 1];
     unsigned long residues[NPRIMES + 1];
@@ -1208,6 +861,10 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor,
     byte = 0;
     bitsleft = 0;
 
+    fbsize = 0;
+    while (firstbits >> fbsize)        /* work out how to align this */
+        fbsize++;
+
   STARTOVER:
 
     pfn(pfnparam, PROGFN_PROGRESS, phase, ++progress);
@@ -1220,9 +877,11 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor,
      */
     p = bn_power_2(bits - 1);
     for (i = 0; i < bits; i++) {
-	if (i == 0 || i == bits - 1)
+	if (i == 0 || i == bits - 1) {
 	    v = (i != 0 || !factor) ? 1 : 0;
-	else {
+        } else if (i >= bits - fbsize) {
+            v = (firstbits >> (i - (bits - fbsize))) & 1;
+        } else {
 	    if (bitsleft <= 0)
 		bitsleft = 8, byte = random_byte();
 	    v = byte & 1;
@@ -1255,6 +914,10 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor,
     moduli[NPRIMES] = modulus;
     residues[NPRIMES] = (bignum_mod_short(p, (unsigned short) modulus)
 			 + modulus - residue);
+    if (factor)
+	multipliers[NPRIMES] = bignum_mod_short(factor, modulus);
+    else
+	multipliers[NPRIMES] = 1;
     delta = 0;
     while (1) {
 	for (i = 0; i < (sizeof(moduli) / sizeof(*moduli)); i++)
@@ -1378,6 +1041,7 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor,
 	 * It didn't. Therefore, w is a witness for the
 	 * compositeness of p.
 	 */
+	freebn(wqp);
 	freebn(p);
 	freebn(pm1);
 	freebn(q);
@@ -1391,3 +1055,32 @@ Bignum primegen(int bits, int modulus, int residue, Bignum factor,
     freebn(pm1);
     return p;
 }
+
+/*
+ * Invent a pair of values suitable for use as 'firstbits' in the
+ * above function, such that their product is at least 2.
+ *
+ * This is used for generating both RSA and DSA keys which have
+ * exactly the specified number of bits rather than one fewer - if you
+ * generate an a-bit and a b-bit number completely at random and
+ * multiply them together, you could end up with either an (ab-1)-bit
+ * number or an (ab)-bit number. The former happens log(2)*2-1 of the
+ * time (about 39%) and, though actually harmless, every time it
+ * occurs it has a non-zero probability of sparking a user email along
+ * the lines of 'Hey, I asked PuTTYgen for a 2048-bit key and I only
+ * got 2047 bits! Bug!'
+ */
+void invent_firstbits(unsigned *one, unsigned *two)
+{
+    /*
+     * Our criterion is that any number in the range [one,one+1)
+     * multiplied by any number in the range [two,two+1) should have
+     * the highest bit set. It should be clear that we can trivially
+     * test this by multiplying the smallest values in each interval,
+     * i.e. the ones we actually invented.
+     */
+    do {
+        *one = 0x100 | random_byte();
+        *two = 0x100 | random_byte();
+    } while (*one * *two < 0x20000);
+}