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Home/Chain Registry/Block #1,078,330

Block #1,078,330

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/27/2015, 12:43:26 PM Β· Difficulty 10.7593 Β· 5,721,908 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
0b66bd2b59cb902e9a0d09484ecc371098f4c730f79577bff07fd193763749c3
View on Chainz β†—

Difficulty

10.759289

Transactions

1

Size

206 B

Version

2

Bits

0ac260c0

Nonce

2,909,872,403

Timestamp

5/27/2015, 12:43:26 PM

Confirmations

5,721,908

Merkle Root

85f3fd09fe6129abbf2c49462dc8babe3e17bcc996db60a12e400136566a7990
Transactions (1)
Coinbase85f3fd09fe6129…400136566a7990
1 in β†’ 1 out8.6200 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.

2.201 Γ— 10⁹⁡(96-digit number)
22015725626276851472…05993713089021825700
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
2.201 Γ— 10⁹⁡(96-digit number)
22015725626276851472…05993713089021825699
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
4.403 Γ— 10⁹⁡(96-digit number)
44031451252553702944…11987426178043651399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
8.806 Γ— 10⁹⁡(96-digit number)
88062902505107405888…23974852356087302799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.761 Γ— 10⁹⁢(97-digit number)
17612580501021481177…47949704712174605599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
3.522 Γ— 10⁹⁢(97-digit number)
35225161002042962355…95899409424349211199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
7.045 Γ— 10⁹⁢(97-digit number)
70450322004085924711…91798818848698422399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.409 Γ— 10⁹⁷(98-digit number)
14090064400817184942…83597637697396844799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.818 Γ— 10⁹⁷(98-digit number)
28180128801634369884…67195275394793689599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
5.636 Γ— 10⁹⁷(98-digit number)
56360257603268739768…34390550789587379199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.127 Γ— 10⁹⁸(99-digit number)
11272051520653747953…68781101579174758399
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 1078330

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 0b66bd2b59cb902e9a0d09484ecc371098f4c730f79577bff07fd193763749c3

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 #1,078,330 on Chainz β†—
Circulating Supply:57,645,958 XPMΒ·at block #6,800,237 Β· updates every 60s
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