Home/Chain Registry/Block #6,784,911

Block #6,784,911

2CCLength 10★★☆☆☆

Cunningham Chain of the Second Kind · Discovered 4/5/2026, 10:36:05 PM · Difficulty 10.9809 · 7,832 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
da54fbe4594b4f2c9acddbea0e998fff5759b8029bc7caaa27e6aa3b9ad6ea44

Difficulty

10.980855

Transactions

1

Size

191 B

Version

536870912

Bits

0afb1949

Nonce

37,445,415

Timestamp

4/5/2026, 10:36:05 PM

Confirmations

7,832

Merkle Root

325503095533ccf1bdb1fed63479c0b33b5c273285a5c22cf7618f45d5aaa731
Transactions (1)
1 in → 1 out8.1790 XPM101 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.

3.581 × 10⁹⁴(95-digit number)
35816588833222787165…55269606840660537120
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
3.581 × 10⁹⁴(95-digit number)
35816588833222787165…55269606840660537121
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
7.163 × 10⁹⁴(95-digit number)
71633177666445574330…10539213681321074241
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
1.432 × 10⁹⁵(96-digit number)
14326635533289114866…21078427362642148481
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
2.865 × 10⁹⁵(96-digit number)
28653271066578229732…42156854725284296961
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
5.730 × 10⁹⁵(96-digit number)
57306542133156459464…84313709450568593921
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
1.146 × 10⁹⁶(97-digit number)
11461308426631291892…68627418901137187841
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
2.292 × 10⁹⁶(97-digit number)
22922616853262583785…37254837802274375681
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
4.584 × 10⁹⁶(97-digit number)
45845233706525167571…74509675604548751361
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
9.169 × 10⁹⁶(97-digit number)
91690467413050335143…49019351209097502721
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
1.833 × 10⁹⁷(98-digit number)
18338093482610067028…98038702418195005441
Verify on FactorDB ↗Wolfram Alpha ↗

What this block proved

The miner who found this block proved the existence of 10 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
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 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 6784911

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 da54fbe4594b4f2c9acddbea0e998fff5759b8029bc7caaa27e6aa3b9ad6ea44

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 #6,784,911 on Chainz ↗
Circulating Supply:57,585,927 XPM·at block #6,792,742 · updates every 60s
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