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Home/Chain Registry/Block #6,784,924

Block #6,784,924

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 4/5/2026, 10:46:25 PM Β· Difficulty 10.9809 Β· 15,660 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
b05e55d225544d49703338d498d4e245e4711236731d0fc4b325846d893b4267
View on Chainz β†—

Difficulty

10.980868

Transactions

1

Size

190 B

Version

536870912

Bits

0afb1a27

Nonce

1,438,509,073

Timestamp

4/5/2026, 10:46:25 PM

Confirmations

15,660

Merkle Root

743f5f0e0b803b4360a0d593719ee0637f065034851787f1169e207d9b9c003b
Transactions (1)
Coinbase743f5f0e0b803b…9e207d9b9c003b
1 in β†’ 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) β€” it equals the first prime in the chain multiplied by a primorial. The origin anchors the entire chain to this specific block.

6.469 Γ— 10⁹²(93-digit number)
64693282281617212539…37667792388061060480
Discovered Prime Numbers
p_k = 2^k Γ— 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
6.469 Γ— 10⁹²(93-digit number)
64693282281617212539…37667792388061060481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
1.293 Γ— 10⁹³(94-digit number)
12938656456323442507…75335584776122120961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
2.587 Γ— 10⁹³(94-digit number)
25877312912646885015…50671169552244241921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
5.175 Γ— 10⁹³(94-digit number)
51754625825293770031…01342339104488483841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.035 Γ— 10⁹⁴(95-digit number)
10350925165058754006…02684678208976967681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
2.070 Γ— 10⁹⁴(95-digit number)
20701850330117508012…05369356417953935361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
4.140 Γ— 10⁹⁴(95-digit number)
41403700660235016024…10738712835907870721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
8.280 Γ— 10⁹⁴(95-digit number)
82807401320470032049…21477425671815741441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
1.656 Γ— 10⁹⁡(96-digit number)
16561480264094006409…42954851343631482881
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
3.312 Γ— 10⁹⁡(96-digit number)
33122960528188012819…85909702687262965761
Verify on FactorDB β†—Wolfram Alpha β†—

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 β€” the large number shown above β€” 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 β†’
β˜…β˜…β˜†β˜†β˜†
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 Γ— 3 Γ— 5 Γ— 7 Γ— …), the result is the first prime in the chain. The origin is deliberately divisible by this primorial β€” that divisibility is part of the proof.

Prime Chain Origin = First Prime Γ— Primorial (2Β·3Β·5Β·7Β·11·…)
Source: Primecoin prime.cpp β€” CheckPrimeProofOfWork()

This is why the origin has many small prime factors β€” those factors are the primorial divisor. The chain then extends from the first prime using the 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 6784924

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 b05e55d225544d49703338d498d4e245e4711236731d0fc4b325846d893b4267

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 β†’ Debug Window β†’ 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 #6,784,924 on Chainz β†—
Circulating Supply:57,648,730 XPMΒ·at block #6,800,583 Β· updates every 60s
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