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Home/Chain Registry/Block #1,579,505

Block #1,579,505

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/11/2016, 12:36:40 AM Β· Difficulty 10.6719 Β· 5,247,269 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
52bdc5efec4e5769f0938c2b08741971c3cb58aa3948f7c90b26378dd8b94d8c
View on Chainz β†—

Difficulty

10.671894

Transactions

1

Size

200 B

Version

2

Bits

0aac0143

Nonce

1,536,775,975

Timestamp

5/11/2016, 12:36:40 AM

Confirmations

5,247,269

Merkle Root

3f785e896c6c7ec905c6d8fc48d0404a98d4cf74aab2d8d96a1d660692884c6d
Transactions (1)
Coinbase3f785e896c6c7e…1d660692884c6d
1 in β†’ 1 out8.7700 XPM110 B
ALunBpdZ…ueUY7dKc
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.

7.382 Γ— 10⁹⁴(95-digit number)
73821074712524286542…02925955905034145280
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
7.382 Γ— 10⁹⁴(95-digit number)
73821074712524286542…02925955905034145279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.476 Γ— 10⁹⁡(96-digit number)
14764214942504857308…05851911810068290559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.952 Γ— 10⁹⁡(96-digit number)
29528429885009714617…11703823620136581119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.905 Γ— 10⁹⁡(96-digit number)
59056859770019429234…23407647240273162239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.181 Γ— 10⁹⁢(97-digit number)
11811371954003885846…46815294480546324479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.362 Γ— 10⁹⁢(97-digit number)
23622743908007771693…93630588961092648959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.724 Γ— 10⁹⁢(97-digit number)
47245487816015543387…87261177922185297919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
9.449 Γ— 10⁹⁢(97-digit number)
94490975632031086774…74522355844370595839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.889 Γ— 10⁹⁷(98-digit number)
18898195126406217354…49044711688741191679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.779 Γ— 10⁹⁷(98-digit number)
37796390252812434709…98089423377482383359
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 1579505

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 52bdc5efec4e5769f0938c2b08741971c3cb58aa3948f7c90b26378dd8b94d8c

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 #1,579,505 on Chainz β†—
Circulating Supply:57,858,351 XPMΒ·at block #6,826,773 Β· updates every 60s
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