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Home/Chain Registry/Block #474,734

Block #474,734

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/4/2014, 6:20:49 PM Β· Difficulty 10.4557 Β· 6,366,807 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
ee0b3ef9b171b4943060246fad86a3f7065a63cf62fe5381da9b3b4f6fc0ddd4
View on Chainz β†—

Height

#474,734

Difficulty

10.455663

Transactions

1

Size

203 B

Version

2

Bits

0a74a658

Nonce

8,962

Timestamp

4/4/2014, 6:20:49 PM

Confirmations

6,366,807

Merkle Root

c8110863a5b2de51ab35df3eb6675aa16ea00f318ebe14307466f12ff806bef3
Transactions (1)
Coinbasec8110863a5b2de…66f12ff806bef3
1 in β†’ 1 out9.1300 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.

1.693 Γ— 10¹⁰²(103-digit number)
16934010581965759991…24334398857707956480
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
1.693 Γ— 10¹⁰²(103-digit number)
16934010581965759991…24334398857707956479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.386 Γ— 10¹⁰²(103-digit number)
33868021163931519983…48668797715415912959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.773 Γ— 10¹⁰²(103-digit number)
67736042327863039967…97337595430831825919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.354 Γ— 10¹⁰³(104-digit number)
13547208465572607993…94675190861663651839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.709 Γ— 10¹⁰³(104-digit number)
27094416931145215986…89350381723327303679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
5.418 Γ— 10¹⁰³(104-digit number)
54188833862290431973…78700763446654607359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.083 Γ— 10¹⁰⁴(105-digit number)
10837766772458086394…57401526893309214719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.167 Γ— 10¹⁰⁴(105-digit number)
21675533544916172789…14803053786618429439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
4.335 Γ— 10¹⁰⁴(105-digit number)
43351067089832345579…29606107573236858879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
8.670 Γ— 10¹⁰⁴(105-digit number)
86702134179664691158…59212215146473717759
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 474734

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 ee0b3ef9b171b4943060246fad86a3f7065a63cf62fe5381da9b3b4f6fc0ddd4

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 #474,734 on Chainz β†—
Circulating Supply:57,976,712 XPMΒ·at block #6,841,540 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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