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Block #6,784,920

TWNLength 11★★★☆☆

Bi-Twin Chain · Discovered 4/5/2026, 10:42:11 PM · Difficulty 10.9809 · 8,071 confirmations

TWN

Bi-Twin Chain

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

Block Header

Block Hash

38cffa1a36b3941c96fee3532ca6eb067e0b15e8ac6d81354121c0827c20c3ce

View on Chainz ↗

Height

#6,784,920

Difficulty

10.980865

Transactions

Size

193 B

Version

536870912

Bits

0afb1a00

Nonce

1,082,965,316

Timestamp

4/5/2026, 10:42:11 PM

Confirmations

8,071

Merkle Root

d20f4b1029c8a01d427d830d13c0a17a5988e8eb6f255149d0fbd7cef050870a

Transactions (1)

Coinbased20f4b1029c8a0…fbd7cef050870a

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.

1.200 × 10⁹⁹(100-digit number)

12005314703814711799…78076986508898467840

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

1.200 × 10⁹⁹(100-digit number)

12005314703814711799…78076986508898467839

Verify on FactorDB ↗Wolfram Alpha ↗

origin + 1

1.200 × 10⁹⁹(100-digit number)

12005314703814711799…78076986508898467841

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

2.401 × 10⁹⁹(100-digit number)

24010629407629423598…56153973017796935679

Verify on FactorDB ↗Wolfram Alpha ↗

2^1 × origin + 1

2.401 × 10⁹⁹(100-digit number)

24010629407629423598…56153973017796935681

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

4.802 × 10⁹⁹(100-digit number)

48021258815258847197…12307946035593871359

Verify on FactorDB ↗Wolfram Alpha ↗

2^2 × origin + 1

4.802 × 10⁹⁹(100-digit number)

48021258815258847197…12307946035593871361

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

9.604 × 10⁹⁹(100-digit number)

96042517630517694395…24615892071187742719

Verify on FactorDB ↗Wolfram Alpha ↗

2^3 × origin + 1

9.604 × 10⁹⁹(100-digit number)

96042517630517694395…24615892071187742721

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

1.920 × 10¹⁰⁰(101-digit number)

19208503526103538879…49231784142375485439

Verify on FactorDB ↗Wolfram Alpha ↗

2^4 × origin + 1

1.920 × 10¹⁰⁰(101-digit number)

19208503526103538879…49231784142375485441

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

3.841 × 10¹⁰⁰(101-digit number)

38417007052207077758…98463568284750970879

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 6784920

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 38cffa1a36b3941c96fee3532ca6eb067e0b15e8ac6d81354121c0827c20c3ce

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 #6,784,920 on Chainz ↗