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Home/Chain Registry/Block #2,608,143

Block #2,608,143

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/10/2018, 2:49:09 PM Β· Difficulty 11.2494 Β· 4,235,665 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
dbb56f4db9dd12cc6853f3ee3a9fcd32973d07a6236f1657064b5cf6cb8cbb15
View on Chainz β†—

Difficulty

11.249387

Transactions

1

Size

200 B

Version

2

Bits

0b3fd7db

Nonce

1,027,053,289

Timestamp

4/10/2018, 2:49:09 PM

Confirmations

4,235,665

Merkle Root

946fd4f31212d987971fe0df363a51167edcbacd432a831ea28765711a475d2e
Transactions (1)
Coinbase946fd4f31212d9…8765711a475d2e
1 in β†’ 1 out7.8900 XPM110 B
Adqah8zh…1WwoHJ9t
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.

1.493 Γ— 10⁹⁡(96-digit number)
14934393946045760939…64472049193917952000
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
1.493 Γ— 10⁹⁡(96-digit number)
14934393946045760939…64472049193917951999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.986 Γ— 10⁹⁡(96-digit number)
29868787892091521878…28944098387835903999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
5.973 Γ— 10⁹⁡(96-digit number)
59737575784183043756…57888196775671807999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.194 Γ— 10⁹⁢(97-digit number)
11947515156836608751…15776393551343615999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.389 Γ— 10⁹⁢(97-digit number)
23895030313673217502…31552787102687231999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.779 Γ— 10⁹⁢(97-digit number)
47790060627346435005…63105574205374463999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.558 Γ— 10⁹⁢(97-digit number)
95580121254692870010…26211148410748927999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.911 Γ— 10⁹⁷(98-digit number)
19116024250938574002…52422296821497855999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.823 Γ— 10⁹⁷(98-digit number)
38232048501877148004…04844593642995711999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.646 Γ— 10⁹⁷(98-digit number)
76464097003754296008…09689187285991423999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.529 Γ— 10⁹⁸(99-digit number)
15292819400750859201…19378374571982847999
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 2608143

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 dbb56f4db9dd12cc6853f3ee3a9fcd32973d07a6236f1657064b5cf6cb8cbb15

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 #2,608,143 on Chainz β†—
Circulating Supply:57,994,838 XPMΒ·at block #6,843,807 Β· updates every 60s
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