interesting MD5 hashes

I searched the MD5 hashes of some 4- and 5-byte strings (a bit less than half of them) for interesting patterns. The byte strings and hashes are shown in hexadecimal.

bit-level patterns

bytes to hash hash hash (in 32-bit groups) pattern
80 0a dd 7d a6 006085092108a0a82101500002040402 00608509 2108a0a8 21015000 02040402 104 zeroes
ea 13 57 2f 46 7fbff6bf5717ffdde5ff9ff7fdf7fdff 7fbff6bf 5717ffdd e5ff9ff7 fdf7fdff 105 ones
f4 45 57 ea 95 6800000000000305aaf8abe45729229f 68000000 00000305 aaf8abe4 5729229f 49 consecutive zeroes (all 5-byte strings were searched)
f5 68 4d f9 3f 731575f655a07405cf71fffffffffff5 731575f6 55a07405 cf71ffff fffffff5 45 consecutive ones (all 5-byte strings were searched)
cc 77 c0 92 ba 0000000003780351ee6de65449e8ef98 00000000 03780351 ee6de654 49e8ef98 38 initial zeroes (all 5-byte strings were searched)
db d4 a9 b6 b1 0000000003458fab83b9c62a36441805 00000000 03458fab 83b9c62a 36441805 38 initial zeroes (all 5-byte strings were searched)
93 35 55 7d 20 fffffffffeb0d9b7ba4d8eff04ea5503 ffffffff feb0d9b7 ba4d8eff 04ea5503 39 initial ones (all 5-byte strings were searched)
f8 06 56 4a d9 fffffffffecf0a24359029dc60ed23d3 ffffffff fecf0a24 359029dc 60ed23d3 39 initial ones (all 5-byte strings were searched)
3e 05 af a8 ee a9d83a29bc8a865e57258d0000000000 a9d83a29 bc8a865e 57258d00 00000000 40 final zeroes (all 5-byte strings were searched)
75 35 0e cd b8 002c681941863084ab4f2d7fffffffff 002c6819 41863084 ab4f2d7f ffffffff 39 final ones (all 5-byte strings were searched)

nybble-level patterns

bytes to hash hash hash (in 32-bit groups) pattern
8a a8 bd c5 4d 320104200041705000021800430a8306 32010420 00417050 00021800 430a8306 the sum is (only) 74
8a d8 b0 70 8f efcafecfd9fdceeb9ec4bffefbfadfdd efcafecf d9fdceeb 9ec4bffe fbfadfdd the sum is (as large as) 407
24 dd 21 b5 5308505101d0b00d0000030ee0b0c0d1 53085051 01d0b00d 0000030e e0b0c0d1 15 zeroes
70 04 dc eb 000bd0201c009000007f7440a3e02b70 000bd020 1c009000 007f7440 a3e02b70 15 zeroes
68 f2 62 f0 71 f8ffffb1f98ff6df05105fffffcff8f7 f8ffffb1 f98ff6df 05105fff ffcff8f7 17 “f”s
c1 87 65 c6 63 56533025656253531466506622322641 56533025 65625353 14665066 22322641 all nybbles are 6 or less
e0 6b c4 e5 60 65664203430333355652552110463411 65664203 43033335 56525521 10463411 all nybbles are 6 or less

No 4- or 5-byte input produces an MD5 hash with all nybbles a or greater – but see references below.

octet-level patterns

bytes to hash hash hash (in 8-bit groups) pattern
8b 1c ae 2b 2b 1612020c0200037604020c050f112231 16 12 02 0c 02 00 03 76 04 02 0c 05 0f 11 22 31 the sum is (only) 315
e7 fb ef 4a 10 f3e3fec5d5fef5fcfdffc5f7f9fff5f6 f3 e3 fe c5 d5 fe f5 fc fd ff c5 f7 f9 ff f5 f6 the sum is (as large as) 3832
fd eb 66 4d 09 002c282b281e011f040e18080f1f1c05 00 2c 28 2b 28 1e 01 1f 04 0e 18 08 0f 1f 1c 05 the largest byte is (only) 0x2c (all 4- and 5-byte strings were searched)
75 b8 db d1 79 faf5f6dfddfae4feeaf6ecdcddeff3f0 fa f5 f6 df dd fa e4 fe ea f6 ec dc dd ef f3 f0 the smallest byte is (as large as) 0xdc (all 5-byte strings were searched)
41 48 33 61 ff 6f8379717f82626379786e7a7d6d7673 6f 83 79 71 7f 82 62 63 79 78 6e 7a 7d 6d 76 73 the difference between the largest and the smallest byte is (only) 33 (0x83−0x62)
fe b7 a5 2f e34c7740777777aa4a40aa4d4caa4004 e3 4c 77 40 77 77 77 aa 4a 40 aa 4d 4c aa 40 04 (only) 8 unique bytes (04, 40, 4a, 4c, 4d, 77, aa, e3)

references