Home/Chain Registry/Block #6,784,894

Block #6,784,894

TWNLength 10★★☆☆☆

Bi-Twin Chain · Discovered 4/5/2026, 10:23:22 PM · Difficulty 10.9808 · 8,408 confirmations

TWN

Bi-Twin Chain

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

Block Header

Block Hash

58d29166a5cde19d5c0b22e9a8f9363ea590f2b7dbd3536d380ba749b0eef6fc

View on Chainz ↗

Height

#6,784,894

Difficulty

10.980838

Transactions

Size

191 B

Version

536870912

Bits

0afb1835

Nonce

1,176,046,804

Timestamp

4/5/2026, 10:23:22 PM

Confirmations

8,408

Merkle Root

0e3588c83cfebddc2be6135e7a9f114432ca57adcac6d8df4cf6fcc75a0502c5

Transactions (1)

Coinbase0e3588c83cfebd…f6fcc75a0502c5

1 in → 1 out8.1790 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) — it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

6.090 × 10⁹⁴(95-digit number)

60901092505801997884…79311121222899670080

Discovered Prime Numbers

Lower: 2^k × origin − 1 | Upper: 2^k × 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 — Twin Prime Pair (origin ± 1)

origin − 1

6.090 × 10⁹⁴(95-digit number)

60901092505801997884…79311121222899670079

Verify on FactorDB ↗Wolfram Alpha ↗

origin + 1

6.090 × 10⁹⁴(95-digit number)

60901092505801997884…79311121222899670081

Verify on FactorDB ↗Wolfram Alpha ↗

Difference: origin + 1 − origin − 1 = 2 (twin primes ✓)

Level 1 — Twin Prime Pair (2^1 × origin ± 1)

2^1 × origin − 1

1.218 × 10⁹⁵(96-digit number)

12180218501160399576…58622242445799340159

Verify on FactorDB ↗Wolfram Alpha ↗

2^1 × origin + 1

1.218 × 10⁹⁵(96-digit number)

12180218501160399576…58622242445799340161

Verify on FactorDB ↗Wolfram Alpha ↗

Difference: 2^1 × origin + 1 − 2^1 × origin − 1 = 2 (twin primes ✓)

Level 2 — Twin Prime Pair (2^2 × origin ± 1)

2^2 × origin − 1

2.436 × 10⁹⁵(96-digit number)

24360437002320799153…17244484891598680319

Verify on FactorDB ↗Wolfram Alpha ↗

2^2 × origin + 1

2.436 × 10⁹⁵(96-digit number)

24360437002320799153…17244484891598680321

Verify on FactorDB ↗Wolfram Alpha ↗

Difference: 2^2 × origin + 1 − 2^2 × origin − 1 = 2 (twin primes ✓)

Level 3 — Twin Prime Pair (2^3 × origin ± 1)

2^3 × origin − 1

4.872 × 10⁹⁵(96-digit number)

48720874004641598307…34488969783197360639

Verify on FactorDB ↗Wolfram Alpha ↗

2^3 × origin + 1

4.872 × 10⁹⁵(96-digit number)

48720874004641598307…34488969783197360641

Verify on FactorDB ↗Wolfram Alpha ↗

Difference: 2^3 × origin + 1 − 2^3 × origin − 1 = 2 (twin primes ✓)

Level 4 — Twin Prime Pair (2^4 × origin ± 1)

2^4 × origin − 1

9.744 × 10⁹⁵(96-digit number)

97441748009283196614…68977939566394721279

Verify on FactorDB ↗Wolfram Alpha ↗

2^4 × origin + 1

9.744 × 10⁹⁵(96-digit number)

97441748009283196614…68977939566394721281

Verify on FactorDB ↗Wolfram Alpha ↗

Difference: 2^4 × origin + 1 − 2^4 × origin − 1 = 2 (twin primes ✓)

What this block proved

The miner who found this block proved the existence of 10 consecutive prime numbers forming a Bi-Twin Chain. The prime chain origin — the large number shown above — 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 →

★★☆☆☆

Rarity

UncommonChain length 10

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 × 3 × 5 × 7 × …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial — that divisibility is part of the proof.

Prime Chain Origin = First Prime × Primorial (2·3·5·7·11·…)

Source: Primecoin prime.cpp — CheckPrimeProofOfWork()

This is why the origin has many small prime factors — 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 − 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 6784894

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 58d29166a5cde19d5c0b22e9a8f9363ea590f2b7dbd3536d380ba749b0eef6fc

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 → Debug Window → 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 #6,784,894 on Chainz ↗