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Home/Chain Registry/Block #2,174,602

Block #2,174,602

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 6/24/2017, 12:15:39 AM Β· Difficulty 10.9132 Β· 4,670,412 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
d14dea3d0df9a1aa5afe97cd8a120645f36f3f8e753efe0f4b0974594ff10fe7
View on Chainz β†—

Difficulty

10.913239

Transactions

1

Size

201 B

Version

2

Bits

0ae9ca00

Nonce

1,313,780,138

Timestamp

6/24/2017, 12:15:39 AM

Confirmations

4,670,412

Merkle Root

93c8e362f9f1df0debf9cbea0bc17604b7f5d2599fb8286d3bec93e85b854e89
Transactions (1)
Coinbase93c8e362f9f1df…ec93e85b854e89
1 in β†’ 1 out8.3800 XPM110 B
AFynxDb7…Tb3NLokT
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.

9.339 Γ— 10⁹⁡(96-digit number)
93396627584968099140…36954374258845458240
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
9.339 Γ— 10⁹⁡(96-digit number)
93396627584968099140…36954374258845458239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.867 Γ— 10⁹⁢(97-digit number)
18679325516993619828…73908748517690916479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.735 Γ— 10⁹⁢(97-digit number)
37358651033987239656…47817497035381832959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.471 Γ— 10⁹⁢(97-digit number)
74717302067974479312…95634994070763665919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.494 Γ— 10⁹⁷(98-digit number)
14943460413594895862…91269988141527331839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.988 Γ— 10⁹⁷(98-digit number)
29886920827189791724…82539976283054663679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.977 Γ— 10⁹⁷(98-digit number)
59773841654379583449…65079952566109327359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.195 Γ— 10⁹⁸(99-digit number)
11954768330875916689…30159905132218654719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.390 Γ— 10⁹⁸(99-digit number)
23909536661751833379…60319810264437309439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.781 Γ— 10⁹⁸(99-digit number)
47819073323503666759…20639620528874618879
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 2174602

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 d14dea3d0df9a1aa5afe97cd8a120645f36f3f8e753efe0f4b0974594ff10fe7

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 #2,174,602 on Chainz β†—
Circulating Supply:58,004,534 XPMΒ·at block #6,845,013 Β· updates every 60s
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