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Home/Chain Registry/Block #1,125,843

Block #1,125,843

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 6/25/2015, 5:33:30 AM Β· Difficulty 10.9302 Β· 5,701,482 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
729314c039ce0e445fbbda7ef17d409ec2eac309d945160e479c5c2ef04ca20d
View on Chainz β†—

Difficulty

10.930192

Transactions

1

Size

242 B

Version

2

Bits

0aee210b

Nonce

1,545,822,960

Timestamp

6/25/2015, 5:33:30 AM

Confirmations

5,701,482

Merkle Root

53f05d7d0a9f68d2331ee6030777c884c8b9632afa4289b0fa1c7d8cf58cc611
Transactions (1)
Coinbase53f05d7d0a9f68…1c7d8cf58cc611
1 in β†’ 2 out8.3600 XPM152 B
ALaXhgQh…NaBfyxBRALPu3s2c…EJXLjVFh
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.

9.484 Γ— 10⁹⁴(95-digit number)
94841983079015864089…83544398394246571840
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
9.484 Γ— 10⁹⁴(95-digit number)
94841983079015864089…83544398394246571839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.896 Γ— 10⁹⁡(96-digit number)
18968396615803172817…67088796788493143679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.793 Γ— 10⁹⁡(96-digit number)
37936793231606345635…34177593576986287359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.587 Γ— 10⁹⁡(96-digit number)
75873586463212691271…68355187153972574719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.517 Γ— 10⁹⁢(97-digit number)
15174717292642538254…36710374307945149439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.034 Γ— 10⁹⁢(97-digit number)
30349434585285076508…73420748615890298879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.069 Γ— 10⁹⁢(97-digit number)
60698869170570153017…46841497231780597759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.213 Γ— 10⁹⁷(98-digit number)
12139773834114030603…93682994463561195519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.427 Γ— 10⁹⁷(98-digit number)
24279547668228061206…87365988927122391039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.855 Γ— 10⁹⁷(98-digit number)
48559095336456122413…74731977854244782079
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 1125843

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 729314c039ce0e445fbbda7ef17d409ec2eac309d945160e479c5c2ef04ca20d

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 #1,125,843 on Chainz β†—
Circulating Supply:57,862,713 XPMΒ·at block #6,827,324 Β· updates every 60s
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