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Block #473,260

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/3/2014, 6:46:28 PM Β· Difficulty 10.4477 Β· 6,327,795 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
c6b0644b23c0429a6e4e0d0c6e69b7b02b34232b41ae568822fd2e411f7c0c7c
View on Chainz β†—

Height

#473,260

Difficulty

10.447712

Transactions

1

Size

201 B

Version

2

Bits

0a729d41

Nonce

4,259

Timestamp

4/3/2014, 6:46:28 PM

Confirmations

6,327,795

Merkle Root

d6566a37851173b0546212b2db9bbf2f9f80138194d78c2e6e9361f4c91cf27e
Transactions (1)
Coinbased6566a37851173…9361f4c91cf27e
1 in β†’ 1 out9.1500 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.

9.430 Γ— 10⁹⁢(97-digit number)
94300951409548031299…09629842973209509460
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
9.430 Γ— 10⁹⁢(97-digit number)
94300951409548031299…09629842973209509459
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.886 Γ— 10⁹⁷(98-digit number)
18860190281909606259…19259685946419018919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.772 Γ— 10⁹⁷(98-digit number)
37720380563819212519…38519371892838037839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.544 Γ— 10⁹⁷(98-digit number)
75440761127638425039…77038743785676075679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.508 Γ— 10⁹⁸(99-digit number)
15088152225527685007…54077487571352151359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.017 Γ— 10⁹⁸(99-digit number)
30176304451055370015…08154975142704302719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.035 Γ— 10⁹⁸(99-digit number)
60352608902110740031…16309950285408605439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.207 Γ— 10⁹⁹(100-digit number)
12070521780422148006…32619900570817210879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.414 Γ— 10⁹⁹(100-digit number)
24141043560844296012…65239801141634421759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.828 Γ— 10⁹⁹(100-digit number)
48282087121688592025…30479602283268843519
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 473260

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 c6b0644b23c0429a6e4e0d0c6e69b7b02b34232b41ae568822fd2e411f7c0c7c

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 #473,260 on Chainz β†—
Circulating Supply:57,652,507 XPMΒ·at block #6,801,054 Β· updates every 60s
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