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Home/Chain Registry/Block #2,328,274

Block #2,328,274

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/8/2017, 11:17:38 AM Β· Difficulty 10.9260 Β· 4,513,978 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
c3c64a109998b7c7a35287656b3f9c9582b29683a9f1f20c9a7b18e40aed05c2
View on Chainz β†—

Difficulty

10.925954

Transactions

1

Size

199 B

Version

2

Bits

0aed0b4b

Nonce

397,296,714

Timestamp

10/8/2017, 11:17:38 AM

Confirmations

4,513,978

Merkle Root

cfe48ede463b0b4344e3742f7ba6f445de4114aa9117d4d93d5c187ae47c94bf
Transactions (1)
Coinbasecfe48ede463b0b…5c187ae47c94bf
1 in β†’ 1 out8.3600 XPM109 B
ASsveCBM…12NiBiuM
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.

2.158 Γ— 10⁹⁡(96-digit number)
21583460564886343704…47065511414244940160
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
2.158 Γ— 10⁹⁡(96-digit number)
21583460564886343704…47065511414244940159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.316 Γ— 10⁹⁡(96-digit number)
43166921129772687409…94131022828489880319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
8.633 Γ— 10⁹⁡(96-digit number)
86333842259545374818…88262045656979760639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.726 Γ— 10⁹⁢(97-digit number)
17266768451909074963…76524091313959521279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.453 Γ— 10⁹⁢(97-digit number)
34533536903818149927…53048182627919042559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
6.906 Γ— 10⁹⁢(97-digit number)
69067073807636299855…06096365255838085119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.381 Γ— 10⁹⁷(98-digit number)
13813414761527259971…12192730511676170239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.762 Γ— 10⁹⁷(98-digit number)
27626829523054519942…24385461023352340479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
5.525 Γ— 10⁹⁷(98-digit number)
55253659046109039884…48770922046704680959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.105 Γ— 10⁹⁸(99-digit number)
11050731809221807976…97541844093409361919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
2.210 Γ— 10⁹⁸(99-digit number)
22101463618443615953…95083688186818723839
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 2328274

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 c3c64a109998b7c7a35287656b3f9c9582b29683a9f1f20c9a7b18e40aed05c2

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 #2,328,274 on Chainz β†—
Circulating Supply:57,982,413 XPMΒ·at block #6,842,251 Β· updates every 60s
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