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Home/Chain Registry/Block #6,825,848

Block #6,825,848

TWNLength 11β˜…β˜…β˜…β˜†β˜†

Bi-Twin Chain Β· Discovered 5/5/2026, 5:37:58 AM Β· Difficulty 10.9773 Β· 19,379 confirmations

TWN
Bi-Twin Chain

Interleaved pairs of primes that differ by 2, forming twin prime pairs at each level.

Block Header
Block Hash
481b5a58e0eefd9b6a3de1aa4a4e57f155c816796a88ac8a732cbe6e76572e1a
View on Chainz β†—

Difficulty

10.977337

Transactions

1

Size

193 B

Version

536870912

Bits

0afa32bc

Nonce

1,824,374,173

Timestamp

5/5/2026, 5:37:58 AM

Confirmations

19,379

Merkle Root

150291f2bd28de7adef882b78e9c58be18b7ea0630902bba018c316bbaa4cb16
Transactions (1)
Coinbase150291f2bd28de…8c316bbaa4cb16
1 in β†’ 1 out8.1890 XPM101 B
AMrLYUQN…jwjifxiz
Prime Chain Origin

This is the prime chain origin stored in the block header. It is a composite number (not prime itself) β€” it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

3.274 Γ— 10⁹⁸(99-digit number)
32749459852188123055…19813313585485578240
Discovered Prime Numbers
Lower: 2^k Γ— origin βˆ’ 1 | Upper: 2^k Γ— origin + 1

These are the actual prime numbers discovered by this block, computed using the verified Primecoin formula. Each number has been independently confirmed to pass the Fermat primality test. Use the FactorDB links to verify any number independently.

Level 0 β€” Twin Prime Pair (origin Β± 1)
origin βˆ’ 1
3.274 Γ— 10⁹⁸(99-digit number)
32749459852188123055…19813313585485578239
Verify on FactorDB β†—Wolfram Alpha β†—
origin + 1
3.274 Γ— 10⁹⁸(99-digit number)
32749459852188123055…19813313585485578241
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: origin + 1 βˆ’ origin βˆ’ 1 = 2 (twin primes βœ“)
Level 1 β€” Twin Prime Pair (2^1 Γ— origin Β± 1)
2^1 Γ— origin βˆ’ 1
6.549 Γ— 10⁹⁸(99-digit number)
65498919704376246110…39626627170971156479
Verify on FactorDB β†—Wolfram Alpha β†—
2^1 Γ— origin + 1
6.549 Γ— 10⁹⁸(99-digit number)
65498919704376246110…39626627170971156481
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^1 Γ— origin + 1 βˆ’ 2^1 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 2 β€” Twin Prime Pair (2^2 Γ— origin Β± 1)
2^2 Γ— origin βˆ’ 1
1.309 Γ— 10⁹⁹(100-digit number)
13099783940875249222…79253254341942312959
Verify on FactorDB β†—Wolfram Alpha β†—
2^2 Γ— origin + 1
1.309 Γ— 10⁹⁹(100-digit number)
13099783940875249222…79253254341942312961
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^2 Γ— origin + 1 βˆ’ 2^2 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 3 β€” Twin Prime Pair (2^3 Γ— origin Β± 1)
2^3 Γ— origin βˆ’ 1
2.619 Γ— 10⁹⁹(100-digit number)
26199567881750498444…58506508683884625919
Verify on FactorDB β†—Wolfram Alpha β†—
2^3 Γ— origin + 1
2.619 Γ— 10⁹⁹(100-digit number)
26199567881750498444…58506508683884625921
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^3 Γ— origin + 1 βˆ’ 2^3 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 4 β€” Twin Prime Pair (2^4 Γ— origin Β± 1)
2^4 Γ— origin βˆ’ 1
5.239 Γ— 10⁹⁹(100-digit number)
52399135763500996888…17013017367769251839
Verify on FactorDB β†—Wolfram Alpha β†—
2^4 Γ— origin + 1
5.239 Γ— 10⁹⁹(100-digit number)
52399135763500996888…17013017367769251841
Verify on FactorDB β†—Wolfram Alpha β†—
Difference: 2^4 Γ— origin + 1 βˆ’ 2^4 Γ— origin βˆ’ 1 = 2 (twin primes βœ“)
Level 5 β€” Twin Prime Pair (2^5 Γ— origin Β± 1)
2^5 Γ— origin βˆ’ 1
1.047 Γ— 10¹⁰⁰(101-digit number)
10479827152700199377…34026034735538503679
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 consecutive prime numbers forming a Bi-Twin Chain. The prime chain origin β€” the large number shown above β€” anchors the chain and is divisible by a primorial (the product of small primes), cryptographically tying these prime numbers to this specific block.

View full Prime Chain Discovery page β†’
β˜…β˜…β˜…β˜†β˜†
Rarity
RareChain length 11
How Primecoin's Proof-of-Work Constructs These Primes

Primecoin stores a value called the prime chain origin in each block. The miner found a large integer such that when divided by a primorial (the product of small primes: 2 Γ— 3 Γ— 5 Γ— 7 Γ— …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial β€” that divisibility is part of the proof.

Prime Chain Origin = First Prime Γ— Primorial (2Β·3Β·5Β·7Β·11·…)
Source: Primecoin prime.cpp β€” CheckPrimeProofOfWork()

This is why the origin has many small prime factors β€” those factors are the primorial divisor. The chain then extends from the first prime using the TWN formula:

TWN: twin pairs (p, p+2) where p = origin/primorial βˆ’ 1 and p+2 = origin/primorial + 1
Verify on a Primecoin Node

Anyone running a Primecoin node can independently verify this block using the following RPC commands. Run these from the primecoin-cli command line or via the debug console in the Primecoin wallet.

1. Get block hash by height
getblockhash 6825848

Returns the block hash for a given block height. Use this to confirm the hash shown above matches the chain.

2. Get full block data
getblock 481b5a58e0eefd9b6a3de1aa4a4e57f155c816796a88ac8a732cbe6e76572e1a

Returns the full block header including difficulty, prime chain origin, prime chain type, transaction IDs, and all other fields shown on this page.

How to run these commands: To verify this data independently, open a terminal on your own Primecoin node and run primecoin-cli <command>. Alternatively, open the Primecoin-Qt wallet, go to Help β†’ Debug Window β†’ Console, and type the command directly. The node must be fully synced to this block height for the commands to return results.

Cross-reference on Chainz Explorer

Chainz is an independent Primecoin block explorer. Compare this block's data to verify accuracy.

View Block #6,825,848 on Chainz β†—
Circulating Supply:58,006,248 XPMΒ·at block #6,845,226 Β· updates every 60s
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