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Block #473,366

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/3/2014, 8:40:30 PM Β· Difficulty 10.4467 Β· 6,327,567 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
610b5ef6c74eeaf124597208532d3e8b7dff8bbe7abcc7d864c8e86cd294083d
View on Chainz β†—

Height

#473,366

Difficulty

10.446722

Transactions

1

Size

203 B

Version

2

Bits

0a725c5a

Nonce

44,754

Timestamp

4/3/2014, 8:40:30 PM

Confirmations

6,327,567

Merkle Root

72ab30128e500d985e27ca057f0033269956689d5876c808ce24fbb3abfcd3fe
Transactions (1)
Coinbase72ab30128e500d…24fbb3abfcd3fe
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.

5.429 Γ— 10¹⁰⁰(101-digit number)
54290503575276094446…81480849316629470720
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
5.429 Γ— 10¹⁰⁰(101-digit number)
54290503575276094446…81480849316629470719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.085 Γ— 10¹⁰¹(102-digit number)
10858100715055218889…62961698633258941439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.171 Γ— 10¹⁰¹(102-digit number)
21716201430110437778…25923397266517882879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
4.343 Γ— 10¹⁰¹(102-digit number)
43432402860220875557…51846794533035765759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
8.686 Γ— 10¹⁰¹(102-digit number)
86864805720441751114…03693589066071531519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.737 Γ— 10¹⁰²(103-digit number)
17372961144088350222…07387178132143063039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
3.474 Γ— 10¹⁰²(103-digit number)
34745922288176700445…14774356264286126079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
6.949 Γ— 10¹⁰²(103-digit number)
69491844576353400891…29548712528572252159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.389 Γ— 10¹⁰³(104-digit number)
13898368915270680178…59097425057144504319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
2.779 Γ— 10¹⁰³(104-digit number)
27796737830541360356…18194850114289008639
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 473366

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 610b5ef6c74eeaf124597208532d3e8b7dff8bbe7abcc7d864c8e86cd294083d

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 #473,366 on Chainz β†—
Circulating Supply:57,651,527 XPMΒ·at block #6,800,932 Β· updates every 60s
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