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Block #1,462,860

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/18/2016, 12:36:57 PM Β· Difficulty 10.7828 Β· 5,379,223 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
d6e9ca6086f8c8febde61a5bf4ca583f60214bf9ed21ca19c94d6efd3b8faf68
View on Chainz β†—

Difficulty

10.782761

Transactions

1

Size

199 B

Version

2

Bits

0ac86307

Nonce

1,063,431,047

Timestamp

2/18/2016, 12:36:57 PM

Confirmations

5,379,223

Merkle Root

943730d547f969de4c0337ea20ac6abaf76a2b0776acf8a840ccaf47ebcc5a13
Transactions (1)
Coinbase943730d547f969…ccaf47ebcc5a13
1 in β†’ 1 out8.5900 XPM109 B
ATb9njhz…wkKQLG9z
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.

1.246 Γ— 10⁹⁴(95-digit number)
12468470882351434576…50317292625394337860
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
1.246 Γ— 10⁹⁴(95-digit number)
12468470882351434576…50317292625394337859
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.493 Γ— 10⁹⁴(95-digit number)
24936941764702869153…00634585250788675719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.987 Γ— 10⁹⁴(95-digit number)
49873883529405738307…01269170501577351439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
9.974 Γ— 10⁹⁴(95-digit number)
99747767058811476615…02538341003154702879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.994 Γ— 10⁹⁡(96-digit number)
19949553411762295323…05076682006309405759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.989 Γ— 10⁹⁡(96-digit number)
39899106823524590646…10153364012618811519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
7.979 Γ— 10⁹⁡(96-digit number)
79798213647049181292…20306728025237623039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.595 Γ— 10⁹⁢(97-digit number)
15959642729409836258…40613456050475246079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.191 Γ— 10⁹⁢(97-digit number)
31919285458819672517…81226912100950492159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
6.383 Γ— 10⁹⁢(97-digit number)
63838570917639345034…62453824201900984319
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 1462860

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 d6e9ca6086f8c8febde61a5bf4ca583f60214bf9ed21ca19c94d6efd3b8faf68

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 #1,462,860 on Chainz β†—
Circulating Supply:57,981,049 XPMΒ·at block #6,842,082 Β· updates every 60s
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