XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #2,479,156

Block #2,479,156

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/18/2018, 6:10:10 PM Β· Difficulty 10.9658 Β· 4,366,213 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
062bceb0211b7c823ab4cd46aa92fe8bf514f9af381ff9e665b352ed458d8e44
View on Chainz β†—

Difficulty

10.965843

Transactions

1

Size

200 B

Version

2

Bits

0af74184

Nonce

787,859,725

Timestamp

1/18/2018, 6:10:10 PM

Confirmations

4,366,213

Merkle Root

42f93702422b055fe11d6b82f3b3eaef1b9df65ffa985d86417a3df1b05720fe
Transactions (1)
Coinbase42f93702422b05…7a3df1b05720fe
1 in β†’ 1 out8.3000 XPM109 B
AeH5889V…HAn35AzA
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.

2.622 Γ— 10⁹⁢(97-digit number)
26226976585670120130…29735265736397148160
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
2.622 Γ— 10⁹⁢(97-digit number)
26226976585670120130…29735265736397148159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.245 Γ— 10⁹⁢(97-digit number)
52453953171340240260…59470531472794296319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.049 Γ— 10⁹⁷(98-digit number)
10490790634268048052…18941062945588592639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.098 Γ— 10⁹⁷(98-digit number)
20981581268536096104…37882125891177185279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.196 Γ— 10⁹⁷(98-digit number)
41963162537072192208…75764251782354370559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
8.392 Γ— 10⁹⁷(98-digit number)
83926325074144384416…51528503564708741119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.678 Γ— 10⁹⁸(99-digit number)
16785265014828876883…03057007129417482239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.357 Γ— 10⁹⁸(99-digit number)
33570530029657753766…06114014258834964479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
6.714 Γ— 10⁹⁸(99-digit number)
67141060059315507533…12228028517669928959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.342 Γ— 10⁹⁹(100-digit number)
13428212011863101506…24456057035339857919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
2.685 Γ— 10⁹⁹(100-digit number)
26856424023726203013…48912114070679715839
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 2479156

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 062bceb0211b7c823ab4cd46aa92fe8bf514f9af381ff9e665b352ed458d8e44

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 #2,479,156 on Chainz β†—
Circulating Supply:58,007,398 XPMΒ·at block #6,845,368 Β· updates every 60s
xpmprime.info is a work in progress. If you enjoy using this service you can support this project with a Primecoin donation.
Privacy PolicyΒ·
AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

Cookie Preferences

We use cookies to enhance your experience. Some are essential for the site to function, while others help us understand how you use the site.

Β·Privacy Policy