Home/Chain Registry/Block #6,784,931

Block #6,784,931

2CCLength 11★★★☆☆

Cunningham Chain of the Second Kind · Discovered 4/5/2026, 10:56:46 PM · Difficulty 10.9809 · 244 confirmations

2CC
Cunningham Chain of the Second Kind

A sequence where each prime is double the previous prime minus one.

Block Header
Block Hash
26d3991c9b0363e4d90d8404ac9ee92cdfe8c7d488150b417713371fd9474d90

Difficulty

10.980856

Transactions

1

Size

199 B

Version

536870912

Bits

0afb1967

Nonce

570,435,972

Timestamp

4/5/2026, 10:56:46 PM

Confirmations

244

Merkle Root

feffa4f662cbc14a3adc35270049d26e54224ffbbf010df0e91b01c14ff97d28
Transactions (1)
1 in → 1 out8.1710 XPM109 B
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.

8.524 × 10⁹⁴(95-digit number)
85249135790788742215…95691583404960061120
Discovered Prime Numbers
p_k = 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.

1
origin + 1
8.524 × 10⁹⁴(95-digit number)
85249135790788742215…95691583404960061121
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
1.704 × 10⁹⁵(96-digit number)
17049827158157748443…91383166809920122241
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
3.409 × 10⁹⁵(96-digit number)
34099654316315496886…82766333619840244481
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
6.819 × 10⁹⁵(96-digit number)
68199308632630993772…65532667239680488961
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
1.363 × 10⁹⁶(97-digit number)
13639861726526198754…31065334479360977921
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
2.727 × 10⁹⁶(97-digit number)
27279723453052397508…62130668958721955841
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
5.455 × 10⁹⁶(97-digit number)
54559446906104795017…24261337917443911681
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
1.091 × 10⁹⁷(98-digit number)
10911889381220959003…48522675834887823361
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
2.182 × 10⁹⁷(98-digit number)
21823778762441918007…97045351669775646721
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
4.364 × 10⁹⁷(98-digit number)
43647557524883836014…94090703339551293441
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
11
2^10 × origin + 1
8.729 × 10⁹⁷(98-digit number)
87295115049767672028…88181406679102586881
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 Cunningham Chain of the Second Kind. 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 2CC formula:

2CC: p₁ (first prime), p₂ = 2p₁ − 1, p₃ = 2p₂ − 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 6784931

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 26d3991c9b0363e4d90d8404ac9ee92cdfe8c7d488150b417713371fd9474d90

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 #6,784,931 on Chainz ↗
Circulating Supply:57,525,335 XPM·at block #6,785,174 · updates every 60s