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Home/Chain Registry/Block #2,480,206

Block #2,480,206

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/19/2018, 10:33:17 AM Β· Difficulty 10.9663 Β· 4,362,740 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
7b63e5b29acc69633f0c310d3e8af9c9d21be60a7d4139425f69c5ad6ce54fb3
View on Chainz β†—

Difficulty

10.966324

Transactions

1

Size

200 B

Version

2

Bits

0af76104

Nonce

602,160,146

Timestamp

1/19/2018, 10:33:17 AM

Confirmations

4,362,740

Merkle Root

95b9439f462de2fe3a12854e9d4a25354c4aa71e39526889e261f4206fcc55b6
Transactions (1)
Coinbase95b9439f462de2…61f4206fcc55b6
1 in β†’ 1 out8.3000 XPM110 B
AWiFTwba…7qRXL5p3
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.

1.458 Γ— 10⁹⁡(96-digit number)
14585257037590883787…59940198292998034720
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
1.458 Γ— 10⁹⁡(96-digit number)
14585257037590883787…59940198292998034719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.917 Γ— 10⁹⁡(96-digit number)
29170514075181767574…19880396585996069439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
5.834 Γ— 10⁹⁡(96-digit number)
58341028150363535149…39760793171992138879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.166 Γ— 10⁹⁢(97-digit number)
11668205630072707029…79521586343984277759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.333 Γ— 10⁹⁢(97-digit number)
23336411260145414059…59043172687968555519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.667 Γ— 10⁹⁢(97-digit number)
46672822520290828119…18086345375937111039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.334 Γ— 10⁹⁢(97-digit number)
93345645040581656238…36172690751874222079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.866 Γ— 10⁹⁷(98-digit number)
18669129008116331247…72345381503748444159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.733 Γ— 10⁹⁷(98-digit number)
37338258016232662495…44690763007496888319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.467 Γ— 10⁹⁷(98-digit number)
74676516032465324991…89381526014993776639
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 2480206

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 7b63e5b29acc69633f0c310d3e8af9c9d21be60a7d4139425f69c5ad6ce54fb3

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 #2,480,206 on Chainz β†—
Circulating Supply:57,987,919 XPMΒ·at block #6,842,945 Β· updates every 60s
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