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Block #379,508

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/28/2014, 1:40:28 PM Β· Difficulty 10.4185 Β· 6,424,491 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
628eb2b6e43e488d72ca424b278d45a31be72f9d664508ab8051a59b21237c05
View on Chainz β†—

Height

#379,508

Difficulty

10.418480

Transactions

1

Size

191 B

Version

2

Bits

0a6b2186

Nonce

4,341

Timestamp

1/28/2014, 1:40:28 PM

Confirmations

6,424,491

Merkle Root

c228ed82f15779a789611b9e9eab2c51cfb844f3a169cb68876195966f8aa04d
Transactions (1)
Coinbasec228ed82f15779…6195966f8aa04d
1 in β†’ 1 out9.2000 XPM97 B
AWQBKr3Y…sUA1Ehpd
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.

2.883 Γ— 10¹⁰⁴(105-digit number)
28839916369412456747…07329224171601857920
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
2.883 Γ— 10¹⁰⁴(105-digit number)
28839916369412456747…07329224171601857919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.767 Γ— 10¹⁰⁴(105-digit number)
57679832738824913495…14658448343203715839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.153 Γ— 10¹⁰⁡(106-digit number)
11535966547764982699…29316896686407431679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.307 Γ— 10¹⁰⁡(106-digit number)
23071933095529965398…58633793372814863359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.614 Γ— 10¹⁰⁡(106-digit number)
46143866191059930796…17267586745629726719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
9.228 Γ— 10¹⁰⁡(106-digit number)
92287732382119861593…34535173491259453439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.845 Γ— 10¹⁰⁢(107-digit number)
18457546476423972318…69070346982518906879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.691 Γ— 10¹⁰⁢(107-digit number)
36915092952847944637…38140693965037813759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
7.383 Γ— 10¹⁰⁢(107-digit number)
73830185905695889274…76281387930075627519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.476 Γ— 10¹⁰⁷(108-digit number)
14766037181139177854…52562775860151255039
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 379508

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 628eb2b6e43e488d72ca424b278d45a31be72f9d664508ab8051a59b21237c05

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 #379,508 on Chainz β†—
Circulating Supply:57,676,041 XPMΒ·at block #6,803,998 Β· updates every 60s
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