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Home/Chain Registry/Block #3,550,925

Block #3,550,925

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/9/2020, 7:20:02 AM Β· Difficulty 10.9303 Β· 3,289,415 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
e410145ff7e4615b9dbd22dcccd8884df639574d4d2ef9b18a1756899f1ca410
View on Chainz β†—

Difficulty

10.930322

Transactions

1

Size

200 B

Version

2

Bits

0aee2999

Nonce

1,819,048,331

Timestamp

2/9/2020, 7:20:02 AM

Confirmations

3,289,415

Merkle Root

3a4ce7fe6cc9a7875b20e8d6da2c1f91d6ecf9c1b82ff4a716184f83c84a7550
Transactions (1)
Coinbase3a4ce7fe6cc9a7…184f83c84a7550
1 in β†’ 1 out8.3600 XPM109 B
ASiq2qtK…VMhmk7yL
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.

1.091 Γ— 10⁹⁢(97-digit number)
10914961726425548523…85299853229776537600
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
1.091 Γ— 10⁹⁢(97-digit number)
10914961726425548523…85299853229776537599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.182 Γ— 10⁹⁢(97-digit number)
21829923452851097046…70599706459553075199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.365 Γ— 10⁹⁢(97-digit number)
43659846905702194093…41199412919106150399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
8.731 Γ— 10⁹⁢(97-digit number)
87319693811404388186…82398825838212300799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.746 Γ— 10⁹⁷(98-digit number)
17463938762280877637…64797651676424601599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.492 Γ— 10⁹⁷(98-digit number)
34927877524561755274…29595303352849203199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.985 Γ— 10⁹⁷(98-digit number)
69855755049123510549…59190606705698406399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.397 Γ— 10⁹⁸(99-digit number)
13971151009824702109…18381213411396812799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.794 Γ— 10⁹⁸(99-digit number)
27942302019649404219…36762426822793625599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
5.588 Γ— 10⁹⁸(99-digit number)
55884604039298808439…73524853645587251199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.117 Γ— 10⁹⁹(100-digit number)
11176920807859761687…47049707291174502399
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 3550925

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 e410145ff7e4615b9dbd22dcccd8884df639574d4d2ef9b18a1756899f1ca410

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 #3,550,925 on Chainz β†—
Circulating Supply:57,967,042 XPMΒ·at block #6,840,339 Β· updates every 60s
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