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Home/Chain Registry/Block #2,914,196

Block #2,914,196

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 11/7/2018, 11:32:29 PM Β· Difficulty 11.4794 Β· 3,917,714 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
89ed71877b2036f3f11e8a9f177e0995fbd828215e1115eb80b39cdfc2ce18ce
View on Chainz β†—

Difficulty

11.479362

Transactions

1

Size

200 B

Version

2

Bits

0b7ab77f

Nonce

1,213,262,457

Timestamp

11/7/2018, 11:32:29 PM

Confirmations

3,917,714

Merkle Root

84d5ab94a61d973e0b81523e0baacf565be393765704e87dff15eafad972958d
Transactions (1)
Coinbase84d5ab94a61d97…15eafad972958d
1 in β†’ 1 out7.5800 XPM110 B
AbXwmGxD…4XXYP765
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.

7.925 Γ— 10⁹⁴(95-digit number)
79252795949935748842…17857849520769080320
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
7.925 Γ— 10⁹⁴(95-digit number)
79252795949935748842…17857849520769080319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.585 Γ— 10⁹⁡(96-digit number)
15850559189987149768…35715699041538160639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.170 Γ— 10⁹⁡(96-digit number)
31701118379974299536…71431398083076321279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
6.340 Γ— 10⁹⁡(96-digit number)
63402236759948599073…42862796166152642559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.268 Γ— 10⁹⁢(97-digit number)
12680447351989719814…85725592332305285119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.536 Γ— 10⁹⁢(97-digit number)
25360894703979439629…71451184664610570239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.072 Γ— 10⁹⁢(97-digit number)
50721789407958879259…42902369329221140479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.014 Γ— 10⁹⁷(98-digit number)
10144357881591775851…85804738658442280959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.028 Γ— 10⁹⁷(98-digit number)
20288715763183551703…71609477316884561919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.057 Γ— 10⁹⁷(98-digit number)
40577431526367103407…43218954633769123839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
8.115 Γ— 10⁹⁷(98-digit number)
81154863052734206814…86437909267538247679
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 2914196

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 89ed71877b2036f3f11e8a9f177e0995fbd828215e1115eb80b39cdfc2ce18ce

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 #2,914,196 on Chainz β†—
Circulating Supply:57,899,404 XPMΒ·at block #6,831,909 Β· updates every 60s
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