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Home/Chain Registry/Block #1,134,289

Block #1,134,289

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 6/30/2015, 3:50:42 PM Β· Difficulty 10.9386 Β· 5,682,598 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
4dcadcb4f8c7aceea2a266052bf8e9be9152d01d44285839940b2dec6ecb2cfa
View on Chainz β†—

Difficulty

10.938607

Transactions

1

Size

206 B

Version

2

Bits

0af0488c

Nonce

215,323,654

Timestamp

6/30/2015, 3:50:42 PM

Confirmations

5,682,598

Merkle Root

ba106bcfcfb50d9c1a1ec617ba228f65f7fcade544b127ee5fb43ac133d6da5f
Transactions (1)
Coinbaseba106bcfcfb50d…b43ac133d6da5f
1 in β†’ 1 out8.3400 XPM116 B
AJCEY9yy…tg97E6zm
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.

2.323 Γ— 10⁹⁡(96-digit number)
23230769405013113832…52650024915425406800
Discovered Prime Numbers
p_k = 2^k Γ— origin + 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 + 1
2.323 Γ— 10⁹⁡(96-digit number)
23230769405013113832…52650024915425406801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
4.646 Γ— 10⁹⁡(96-digit number)
46461538810026227664…05300049830850813601
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
9.292 Γ— 10⁹⁡(96-digit number)
92923077620052455329…10600099661701627201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.858 Γ— 10⁹⁢(97-digit number)
18584615524010491065…21200199323403254401
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
3.716 Γ— 10⁹⁢(97-digit number)
37169231048020982131…42400398646806508801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
7.433 Γ— 10⁹⁢(97-digit number)
74338462096041964263…84800797293613017601
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
1.486 Γ— 10⁹⁷(98-digit number)
14867692419208392852…69601594587226035201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
2.973 Γ— 10⁹⁷(98-digit number)
29735384838416785705…39203189174452070401
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
5.947 Γ— 10⁹⁷(98-digit number)
59470769676833571410…78406378348904140801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
1.189 Γ— 10⁹⁸(99-digit number)
11894153935366714282…56812756697808281601
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 Second 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 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 1134289

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 4dcadcb4f8c7aceea2a266052bf8e9be9152d01d44285839940b2dec6ecb2cfa

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 #1,134,289 on Chainz β†—
Circulating Supply:57,779,136 XPMΒ·at block #6,816,886 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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