Home/Chain Registry/Block #6,784,890

Block #6,784,890

2CCLength 11★★★☆☆

Cunningham Chain of the Second Kind · Discovered 4/5/2026, 10:19:30 PM · Difficulty 10.9808 · 7,928 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
dedf1fbd6bbab53f34a063b2f941729f16ef7021bed58a61f9c54786d2fa21a5

Difficulty

10.980837

Transactions

1

Size

191 B

Version

536870912

Bits

0afb181a

Nonce

447,295,603

Timestamp

4/5/2026, 10:19:30 PM

Confirmations

7,928

Merkle Root

da731e8329e674c9b5d73143c070fd26e8d0d2404c7c93401e1a1596b2d095a1
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.

4.126 × 10⁹³(94-digit number)
41264645262532305796…62046108934995807000
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
4.126 × 10⁹³(94-digit number)
41264645262532305796…62046108934995807001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
2
2^1 × origin + 1
8.252 × 10⁹³(94-digit number)
82529290525064611593…24092217869991614001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
3
2^2 × origin + 1
1.650 × 10⁹⁴(95-digit number)
16505858105012922318…48184435739983228001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
4
2^3 × origin + 1
3.301 × 10⁹⁴(95-digit number)
33011716210025844637…96368871479966456001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
5
2^4 × origin + 1
6.602 × 10⁹⁴(95-digit number)
66023432420051689275…92737742959932912001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
6
2^5 × origin + 1
1.320 × 10⁹⁵(96-digit number)
13204686484010337855…85475485919865824001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
7
2^6 × origin + 1
2.640 × 10⁹⁵(96-digit number)
26409372968020675710…70950971839731648001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
8
2^7 × origin + 1
5.281 × 10⁹⁵(96-digit number)
52818745936041351420…41901943679463296001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
9
2^8 × origin + 1
1.056 × 10⁹⁶(97-digit number)
10563749187208270284…83803887358926592001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
10
2^9 × origin + 1
2.112 × 10⁹⁶(97-digit number)
21127498374416540568…67607774717853184001
Verify on FactorDB ↗Wolfram Alpha ↗
×2−1 →
11
2^10 × origin + 1
4.225 × 10⁹⁶(97-digit number)
42254996748833081136…35215549435706368001
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 6784890

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 dedf1fbd6bbab53f34a063b2f941729f16ef7021bed58a61f9c54786d2fa21a5

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 #6,784,890 on Chainz ↗
Circulating Supply:57,586,528 XPM·at block #6,792,817 · updates every 60s
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