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Home/Chain Registry/Block #6,784,910

Block #6,784,910

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/5/2026, 10:35:30 PM Β· Difficulty 10.9809 Β· 11,687 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
d7a9754d80866d2afcd54cb892f922eb79c5a948b81ecdd832c8b8bcf76d630c
View on Chainz β†—

Difficulty

10.980859

Transactions

1

Size

191 B

Version

536870912

Bits

0afb198b

Nonce

156,037,657

Timestamp

4/5/2026, 10:35:30 PM

Confirmations

11,687

Merkle Root

02aa0b2bef3ce73d68bff88f3e603fb723c6c0bd35446c0a9799f2a577f12bdc
Transactions (1)
Coinbase02aa0b2bef3ce7…99f2a577f12bdc
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.

8.899 Γ— 10⁹³(94-digit number)
88993185305588314414…44716935718141085440
Discovered Prime Numbers
p_k = 2^k Γ— origin βˆ’ 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 βˆ’ 1
8.899 Γ— 10⁹³(94-digit number)
88993185305588314414…44716935718141085439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.779 Γ— 10⁹⁴(95-digit number)
17798637061117662882…89433871436282170879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.559 Γ— 10⁹⁴(95-digit number)
35597274122235325765…78867742872564341759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.119 Γ— 10⁹⁴(95-digit number)
71194548244470651531…57735485745128683519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.423 Γ— 10⁹⁡(96-digit number)
14238909648894130306…15470971490257367039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.847 Γ— 10⁹⁡(96-digit number)
28477819297788260612…30941942980514734079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.695 Γ— 10⁹⁡(96-digit number)
56955638595576521225…61883885961029468159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.139 Γ— 10⁹⁢(97-digit number)
11391127719115304245…23767771922058936319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.278 Γ— 10⁹⁢(97-digit number)
22782255438230608490…47535543844117872639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.556 Γ— 10⁹⁢(97-digit number)
45564510876461216980…95071087688235745279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
9.112 Γ— 10⁹⁢(97-digit number)
91129021752922433960…90142175376471490559
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 consecutive prime numbers forming a Cunningham Chain of the First 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
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 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 1CC formula:

1CC: p₁ (first prime), pβ‚‚ = 2p₁ + 1, p₃ = 2pβ‚‚ + 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 6784910

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 d7a9754d80866d2afcd54cb892f922eb79c5a948b81ecdd832c8b8bcf76d630c

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 #6,784,910 on Chainz β†—
Circulating Supply:57,616,779 XPMΒ·at block #6,796,596 Β· updates every 60s
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