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Home/Chain Registry/Block #2,924,898

Block #2,924,898

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 11/16/2018, 3:47:27 AM Β· Difficulty 11.3562 Β· 3,912,008 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
30f92c2ee92e808032260ad381d86c196a1231d6a830380362cc20e0fc281b40
View on Chainz β†—

Difficulty

11.356199

Transactions

1

Size

199 B

Version

2

Bits

0b5b2fdf

Nonce

1,292,202,081

Timestamp

11/16/2018, 3:47:27 AM

Confirmations

3,912,008

Merkle Root

8020c66c126598a3817273a22cb75b68bd633bada922f4670a26bbbe6114c88f
Transactions (1)
Coinbase8020c66c126598…26bbbe6114c88f
1 in β†’ 1 out7.7400 XPM109 B
AUMQRepm…tAfKmdW1
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.

6.477 Γ— 10⁹⁴(95-digit number)
64772460789060885324…66114191472421089600
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
6.477 Γ— 10⁹⁴(95-digit number)
64772460789060885324…66114191472421089599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.295 Γ— 10⁹⁡(96-digit number)
12954492157812177064…32228382944842179199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.590 Γ— 10⁹⁡(96-digit number)
25908984315624354129…64456765889684358399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.181 Γ— 10⁹⁡(96-digit number)
51817968631248708259…28913531779368716799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.036 Γ— 10⁹⁢(97-digit number)
10363593726249741651…57827063558737433599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.072 Γ— 10⁹⁢(97-digit number)
20727187452499483303…15654127117474867199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.145 Γ— 10⁹⁢(97-digit number)
41454374904998966607…31308254234949734399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
8.290 Γ— 10⁹⁢(97-digit number)
82908749809997933215…62616508469899468799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.658 Γ— 10⁹⁷(98-digit number)
16581749961999586643…25233016939798937599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.316 Γ— 10⁹⁷(98-digit number)
33163499923999173286…50466033879597875199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
6.632 Γ— 10⁹⁷(98-digit number)
66326999847998346572…00932067759195750399
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 2924898

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 30f92c2ee92e808032260ad381d86c196a1231d6a830380362cc20e0fc281b40

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 #2,924,898 on Chainz β†—
Circulating Supply:57,939,541 XPMΒ·at block #6,836,905 Β· updates every 60s
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