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Home/Chain Registry/Block #467,723

Block #467,723

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/31/2014, 12:01:29 AM Β· Difficulty 10.4344 Β· 6,373,498 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
72ef204eb3efa71b14d3f1b0cadbead4f5642791911adffef45e83e4791be57b
View on Chainz β†—

Height

#467,723

Difficulty

10.434370

Transactions

1

Size

201 B

Version

2

Bits

0a6f32e5

Nonce

171,261

Timestamp

3/31/2014, 12:01:29 AM

Confirmations

6,373,498

Merkle Root

e9395a55a0d13ab9fa072a3c96b0215194564bb485290e62e25dce713cd62039
Transactions (1)
Coinbasee9395a55a0d13a…5dce713cd62039
1 in β†’ 1 out9.1700 XPM110 B
AeKNrjNj…1NEq95Ta
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.

4.759 Γ— 10⁹⁢(97-digit number)
47590813076810398140…18528498135604295180
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
4.759 Γ— 10⁹⁢(97-digit number)
47590813076810398140…18528498135604295179
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
9.518 Γ— 10⁹⁢(97-digit number)
95181626153620796281…37056996271208590359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.903 Γ— 10⁹⁷(98-digit number)
19036325230724159256…74113992542417180719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
3.807 Γ— 10⁹⁷(98-digit number)
38072650461448318512…48227985084834361439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
7.614 Γ— 10⁹⁷(98-digit number)
76145300922896637025…96455970169668722879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.522 Γ— 10⁹⁸(99-digit number)
15229060184579327405…92911940339337445759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
3.045 Γ— 10⁹⁸(99-digit number)
30458120369158654810…85823880678674891519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
6.091 Γ— 10⁹⁸(99-digit number)
60916240738317309620…71647761357349783039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.218 Γ— 10⁹⁹(100-digit number)
12183248147663461924…43295522714699566079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
2.436 Γ— 10⁹⁹(100-digit number)
24366496295326923848…86591045429399132159
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 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
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 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 467723

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 72ef204eb3efa71b14d3f1b0cadbead4f5642791911adffef45e83e4791be57b

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 #467,723 on Chainz β†—
Circulating Supply:57,974,125 XPMΒ·at block #6,841,220 Β· updates every 60s
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