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Home/Chain Registry/Block #2,924,823

Block #2,924,823

2CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 11/16/2018, 2:24:46 AM Β· Difficulty 11.3572 Β· 3,915,910 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
2deba732259ce3192acdf4830f504d2e39d299fc40c924f2a48a02805f8074d4
View on Chainz β†—

Difficulty

11.357185

Transactions

1

Size

201 B

Version

2

Bits

0b5b707b

Nonce

514,645,964

Timestamp

11/16/2018, 2:24:46 AM

Confirmations

3,915,910

Merkle Root

2faecfc9c9ec24fb2bbe65a9f38c481cf12db531ef5b4060918beb68ceb4c72b
Transactions (1)
Coinbase2faecfc9c9ec24…8beb68ceb4c72b
1 in β†’ 1 out7.7400 XPM110 B
AUhjokok…k5m93PZR
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.

1.004 Γ— 10⁹⁷(98-digit number)
10042405798068551210…26271342959525416960
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
1.004 Γ— 10⁹⁷(98-digit number)
10042405798068551210…26271342959525416961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
2.008 Γ— 10⁹⁷(98-digit number)
20084811596137102421…52542685919050833921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
4.016 Γ— 10⁹⁷(98-digit number)
40169623192274204842…05085371838101667841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
8.033 Γ— 10⁹⁷(98-digit number)
80339246384548409684…10170743676203335681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.606 Γ— 10⁹⁸(99-digit number)
16067849276909681936…20341487352406671361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
3.213 Γ— 10⁹⁸(99-digit number)
32135698553819363873…40682974704813342721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
6.427 Γ— 10⁹⁸(99-digit number)
64271397107638727747…81365949409626685441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.285 Γ— 10⁹⁹(100-digit number)
12854279421527745549…62731898819253370881
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
2.570 Γ— 10⁹⁹(100-digit number)
25708558843055491099…25463797638506741761
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
5.141 Γ— 10⁹⁹(100-digit number)
51417117686110982198…50927595277013483521
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
11
2^10 Γ— origin + 1
1.028 Γ— 10¹⁰⁰(101-digit number)
10283423537222196439…01855190554026967041
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 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
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 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 2924823

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 2deba732259ce3192acdf4830f504d2e39d299fc40c924f2a48a02805f8074d4

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 #2,924,823 on Chainz β†—
Circulating Supply:57,970,208 XPMΒ·at block #6,840,732 Β· updates every 60s
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