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Home/Chain Registry/Block #2,095,376

Block #2,095,376

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/1/2017, 6:10:19 AM Β· Difficulty 10.8724 Β· 4,737,876 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
94164564af2d230e9a06b2170fa18f21b331ecb3b0279e7402beb49eb64ccede
View on Chainz β†—

Difficulty

10.872408

Transactions

1

Size

200 B

Version

2

Bits

0adf5620

Nonce

1,734,949,780

Timestamp

5/1/2017, 6:10:19 AM

Confirmations

4,737,876

Merkle Root

2eeea1e1aee4a7f502393710b6b952ad4043060b60d91a0b84113738050024ae
Transactions (1)
Coinbase2eeea1e1aee4a7…113738050024ae
1 in β†’ 1 out8.4500 XPM109 B
AWx5Hn55…vmEnXoTD
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.

2.871 Γ— 10⁹⁢(97-digit number)
28719268056523831785…29792988089778286720
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
2.871 Γ— 10⁹⁢(97-digit number)
28719268056523831785…29792988089778286719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.743 Γ— 10⁹⁢(97-digit number)
57438536113047663570…59585976179556573439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.148 Γ— 10⁹⁷(98-digit number)
11487707222609532714…19171952359113146879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.297 Γ— 10⁹⁷(98-digit number)
22975414445219065428…38343904718226293759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.595 Γ— 10⁹⁷(98-digit number)
45950828890438130856…76687809436452587519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
9.190 Γ— 10⁹⁷(98-digit number)
91901657780876261712…53375618872905175039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.838 Γ— 10⁹⁸(99-digit number)
18380331556175252342…06751237745810350079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.676 Γ— 10⁹⁸(99-digit number)
36760663112350504685…13502475491620700159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
7.352 Γ— 10⁹⁸(99-digit number)
73521326224701009370…27004950983241400319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.470 Γ— 10⁹⁹(100-digit number)
14704265244940201874…54009901966482800639
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 2095376

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 94164564af2d230e9a06b2170fa18f21b331ecb3b0279e7402beb49eb64ccede

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 #2,095,376 on Chainz β†—
Circulating Supply:57,910,206 XPMΒ·at block #6,833,251 Β· updates every 60s
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