lotterypuzzle atlas

Bitcoin Puzzle record

Bitcoin Puzzle #138

open · address only

13.8 BTC nominal2137 candidate keys

Where it sits on the line

Puzzles #126–#150: search work One column per puzzle; height is the base-2 logarithm of the search steps. Puzzle #138 is highlighted. The line sits at 2^69. #126 · 2^125 #127 · 2^126 #128 · 2^127 #129 · 2^128 #130 · 2^65.5 #131 · 2^130 #132 · 2^131 #133 · 2^132 #134 · 2^133 #135 · 2^68 #136 · 2^135 #137 · 2^136 #138 · 2^137 #139 · 2^138 #140 · 2^70.5 #141 · 2^140 #142 · 2^141 #143 · 2^142 #144 · 2^143 #145 · 2^73 #146 · 2^145 #147 · 2^146 #148 · 2^147 #149 · 2^148 #150 · 2^75.5
  • found
  • open · address only
  • open · public key on chain
  • the line · 269

This puzzle needs about 2137 search steps — above the line (269).

No puzzle above the line has been found yet.

Model: range scan. Every candidate key in the interval is hashed and compared with the address.

How the work is estimated

Record

P2PKH address
1Ab4vzG6wEQBDNQM1B2bvUz4fqXXdFk2WT
mempool.space Blockstream
HASH160
692a8e583866fc9056f5c61a45969fb9d868a08c
Search class
address-only
No public key on record: the only route is to hash candidate keys and compare them with the address (HASH160).
Candidate interval
2137 → 2138 − 1
start0x20000000000000000000000000000000000
end0x3ffffffffffffffffffffffffffffffffff
Interval size174224571863520493293247799005065324265472 scalars. Exact BigInt bounds, not a floating estimate.

Snapshot 2 Oct 2026. The reward is the catalog's nominal allocation (N × 0.1 convention from 2023-04-16; earlier spends predate it), not a live balance. A key that matches the address proves the math, not that the coins are still there: check an explorer. Missing fields are omitted, not invented.

Method

Without a catalogued public key the work is sequential HASH160 comparison across the interval, so it grows with the interval size.