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Home/Chain Registry/Block #466,724

Block #466,724

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 3/30/2014, 8:38:18 AM Β· Difficulty 10.4255 Β· 6,327,684 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
ce4542ee3dffe02082c6a84665e4d98a97d50639d161048e9fdd9958d6679e2f
View on Chainz β†—

Height

#466,724

Difficulty

10.425475

Transactions

1

Size

259 B

Version

2

Bits

0a6cebf2

Nonce

226,817

Timestamp

3/30/2014, 8:38:18 AM

Confirmations

6,327,684

Merkle Root

7812aec01f177444175392f2842c0cb07b737ab059d8972f816246b1e41c7651
Transactions (1)
Coinbase7812aec01f1774…6246b1e41c7651
1 in β†’ 3 out9.1900 XPM165 B
AMVf7Jrg…xd5AVR7CALzzzbUz…2Cb4jSDNAJno7LX2…vo4wdWtY
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.

1.646 Γ— 10¹⁰³(104-digit number)
16461414044525173230…19611417626285747200
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
1.646 Γ— 10¹⁰³(104-digit number)
16461414044525173230…19611417626285747201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
3.292 Γ— 10¹⁰³(104-digit number)
32922828089050346460…39222835252571494401
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
6.584 Γ— 10¹⁰³(104-digit number)
65845656178100692921…78445670505142988801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.316 Γ— 10¹⁰⁴(105-digit number)
13169131235620138584…56891341010285977601
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
2.633 Γ— 10¹⁰⁴(105-digit number)
26338262471240277168…13782682020571955201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
5.267 Γ— 10¹⁰⁴(105-digit number)
52676524942480554337…27565364041143910401
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
1.053 Γ— 10¹⁰⁡(106-digit number)
10535304988496110867…55130728082287820801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
2.107 Γ— 10¹⁰⁡(106-digit number)
21070609976992221734…10261456164575641601
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
4.214 Γ— 10¹⁰⁡(106-digit number)
42141219953984443469…20522912329151283201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
8.428 Γ— 10¹⁰⁡(106-digit number)
84282439907968886939…41045824658302566401
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 466724

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 ce4542ee3dffe02082c6a84665e4d98a97d50639d161048e9fdd9958d6679e2f

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 #466,724 on Chainz β†—
Circulating Supply:57,599,296 XPMΒ·at block #6,794,407 Β· updates every 60s
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