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Block #1,472,228

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/26/2016, 4:38:55 AM Β· Difficulty 10.6977 Β· 5,371,059 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
e94c3205d8ec85e48da993c99125bc28fbe537bc623860f2a8f6171ff8e46843
View on Chainz β†—

Difficulty

10.697730

Transactions

1

Size

199 B

Version

2

Bits

0ab29e67

Nonce

591,304,861

Timestamp

2/26/2016, 4:38:55 AM

Confirmations

5,371,059

Merkle Root

68243625f02aeccbca383147f285c0d257331bce17db3d5b23f437c47bbf9f06
Transactions (1)
Coinbase68243625f02aec…f437c47bbf9f06
1 in β†’ 1 out8.7200 XPM109 B
AGqBFCmh…AASmoTij
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.

6.469 Γ— 10⁹³(94-digit number)
64694524715857340124…62766195530916595360
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
6.469 Γ— 10⁹³(94-digit number)
64694524715857340124…62766195530916595359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.293 Γ— 10⁹⁴(95-digit number)
12938904943171468024…25532391061833190719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.587 Γ— 10⁹⁴(95-digit number)
25877809886342936049…51064782123666381439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.175 Γ— 10⁹⁴(95-digit number)
51755619772685872099…02129564247332762879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.035 Γ— 10⁹⁡(96-digit number)
10351123954537174419…04259128494665525759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.070 Γ— 10⁹⁡(96-digit number)
20702247909074348839…08518256989331051519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.140 Γ— 10⁹⁡(96-digit number)
41404495818148697679…17036513978662103039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
8.280 Γ— 10⁹⁡(96-digit number)
82808991636297395359…34073027957324206079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.656 Γ— 10⁹⁢(97-digit number)
16561798327259479071…68146055914648412159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.312 Γ— 10⁹⁢(97-digit number)
33123596654518958143…36292111829296824319
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 1472228

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 e94c3205d8ec85e48da993c99125bc28fbe537bc623860f2a8f6171ff8e46843

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 #1,472,228 on Chainz β†—
Circulating Supply:57,990,660 XPMΒ·at block #6,843,286 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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