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Home/Chain Registry/Block #1,422,619

Block #1,422,619

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/21/2016, 2:30:13 PM Β· Difficulty 10.7799 Β· 5,419,975 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
76a6a791cae581da1ee1be3d4e0153e3351ee51ee596555b7570dfd1851bd627
View on Chainz β†—

Difficulty

10.779891

Transactions

1

Size

198 B

Version

2

Bits

0ac7a6f2

Nonce

2,017,629,074

Timestamp

1/21/2016, 2:30:13 PM

Confirmations

5,419,975

Merkle Root

6cd451aa0358efcd994ee8d96a98318672f8d0d7907ccffa6b85d77d70075dc4
Transactions (1)
Coinbase6cd451aa0358ef…85d77d70075dc4
1 in β†’ 1 out8.5900 XPM109 B
AWSr7q5N…dFykbPsN
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.

4.415 Γ— 10⁹²(93-digit number)
44152200682314716361…51699360749865262080
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
4.415 Γ— 10⁹²(93-digit number)
44152200682314716361…51699360749865262079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
8.830 Γ— 10⁹²(93-digit number)
88304401364629432723…03398721499730524159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.766 Γ— 10⁹³(94-digit number)
17660880272925886544…06797442999461048319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
3.532 Γ— 10⁹³(94-digit number)
35321760545851773089…13594885998922096639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
7.064 Γ— 10⁹³(94-digit number)
70643521091703546178…27189771997844193279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.412 Γ— 10⁹⁴(95-digit number)
14128704218340709235…54379543995688386559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
2.825 Γ— 10⁹⁴(95-digit number)
28257408436681418471…08759087991376773119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
5.651 Γ— 10⁹⁴(95-digit number)
56514816873362836942…17518175982753546239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.130 Γ— 10⁹⁡(96-digit number)
11302963374672567388…35036351965507092479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
2.260 Γ— 10⁹⁡(96-digit number)
22605926749345134777…70072703931014184959
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 1422619

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 76a6a791cae581da1ee1be3d4e0153e3351ee51ee596555b7570dfd1851bd627

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 #1,422,619 on Chainz β†—
Circulating Supply:57,985,182 XPMΒ·at block #6,842,593 Β· updates every 60s
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