Home/Chain Registry/Block #6,784,935

Block #6,784,935

TWNLength 11★★★☆☆

Bi-Twin Chain · Discovered 4/5/2026, 10:59:25 PM · Difficulty 10.9809 · 221 confirmations

TWN

Bi-Twin Chain

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

Block Header

Block Hash

b8b8f134e488748e0260e7ce921780b3d5b7d774a39fef2472a1e2c164fee090

View on Chainz ↗

Height

#6,784,935

Difficulty

10.980857

Transactions

Size

192 B

Version

536870912

Bits

0afb1971

Nonce

2,018,575,182

Timestamp

4/5/2026, 10:59:25 PM

Confirmations

221

Merkle Root

c7c1160b88e392fcad6baeae0558129a2752dbc279c810a8ad771e45098e84be

Transactions (1)

Coinbasec7c1160b88e392…771e45098e84be

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.

1.000 × 10⁹⁸(99-digit number)

10001401008522338688…12277601406818058240

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

1.000 × 10⁹⁸(99-digit number)

10001401008522338688…12277601406818058239

Verify on FactorDB ↗Wolfram Alpha ↗

origin + 1

1.000 × 10⁹⁸(99-digit number)

10001401008522338688…12277601406818058241

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

2.000 × 10⁹⁸(99-digit number)

20002802017044677376…24555202813636116479

Verify on FactorDB ↗Wolfram Alpha ↗

2^1 × origin + 1

2.000 × 10⁹⁸(99-digit number)

20002802017044677376…24555202813636116481

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

4.000 × 10⁹⁸(99-digit number)

40005604034089354752…49110405627272232959

Verify on FactorDB ↗Wolfram Alpha ↗

2^2 × origin + 1

4.000 × 10⁹⁸(99-digit number)

40005604034089354752…49110405627272232961

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

8.001 × 10⁹⁸(99-digit number)

80011208068178709504…98220811254544465919

Verify on FactorDB ↗Wolfram Alpha ↗

2^3 × origin + 1

8.001 × 10⁹⁸(99-digit number)

80011208068178709504…98220811254544465921

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

1.600 × 10⁹⁹(100-digit number)

16002241613635741900…96441622509088931839

Verify on FactorDB ↗Wolfram Alpha ↗

2^4 × origin + 1

1.600 × 10⁹⁹(100-digit number)

16002241613635741900…96441622509088931841

Verify on FactorDB ↗Wolfram Alpha ↗

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

Level 5 — Twin Prime Pair (2^5 × origin ± 1)

2^5 × origin − 1

3.200 × 10⁹⁹(100-digit number)

32004483227271483801…92883245018177863679

Verify on FactorDB ↗Wolfram Alpha ↗

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 — 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

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 × 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 6784935

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 b8b8f134e488748e0260e7ce921780b3d5b7d774a39fef2472a1e2c164fee090

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 #6,784,935 on Chainz ↗