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Block #533,387

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/9/2014, 4:29:27 PM Β· Difficulty 10.8995 Β· 6,309,029 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
0bed2015cc0147bbb01f4f465df64231e476629ed152c9113289475ac6481cc3
View on Chainz β†—

Height

#533,387

Difficulty

10.899496

Transactions

1

Size

208 B

Version

2

Bits

0ae6455f

Nonce

95,265,839

Timestamp

5/9/2014, 4:29:27 PM

Confirmations

6,309,029

Merkle Root

51a3fb1b1d2545a61f9470a406ffd2293938e46c60075dba32e24f75dfa960fc
Transactions (1)
Coinbase51a3fb1b1d2545…e24f75dfa960fc
1 in β†’ 1 out8.4000 XPM116 B
ANSXnLY2…Sd25TjkD
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.

1.611 Γ— 10¹⁰⁰(101-digit number)
16119123269836461669…41232894410924259840
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
1.611 Γ— 10¹⁰⁰(101-digit number)
16119123269836461669…41232894410924259839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.223 Γ— 10¹⁰⁰(101-digit number)
32238246539672923339…82465788821848519679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.447 Γ— 10¹⁰⁰(101-digit number)
64476493079345846678…64931577643697039359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.289 Γ— 10¹⁰¹(102-digit number)
12895298615869169335…29863155287394078719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.579 Γ— 10¹⁰¹(102-digit number)
25790597231738338671…59726310574788157439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
5.158 Γ— 10¹⁰¹(102-digit number)
51581194463476677342…19452621149576314879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.031 Γ— 10¹⁰²(103-digit number)
10316238892695335468…38905242299152629759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.063 Γ— 10¹⁰²(103-digit number)
20632477785390670937…77810484598305259519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
4.126 Γ— 10¹⁰²(103-digit number)
41264955570781341874…55620969196610519039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
8.252 Γ— 10¹⁰²(103-digit number)
82529911141562683748…11241938393221038079
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 533387

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 0bed2015cc0147bbb01f4f465df64231e476629ed152c9113289475ac6481cc3

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 #533,387 on Chainz β†—
Circulating Supply:57,983,741 XPMΒ·at block #6,842,415 Β· updates every 60s
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