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Home/Chain Registry/Block #1,494,692

Block #1,494,692

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/13/2016, 5:04:28 AM Β· Difficulty 10.6602 Β· 5,330,983 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
e8ea8875fb3062d76e4d34f6e8f2fe90ae89606caa6b70874494dbaee49682ee
View on Chainz β†—

Difficulty

10.660187

Transactions

1

Size

199 B

Version

2

Bits

0aa901fd

Nonce

447,885,926

Timestamp

3/13/2016, 5:04:28 AM

Confirmations

5,330,983

Merkle Root

5620cc1f4ee506c8157657aed21699d35eb511c950a516f3c2cbb07ca7a189cd
Transactions (1)
Coinbase5620cc1f4ee506…cbb07ca7a189cd
1 in β†’ 1 out8.7900 XPM109 B
AGabNczv…g9nYxFhX
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.

1.240 Γ— 10⁹⁡(96-digit number)
12405343116475091624…38650420455814937600
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
1.240 Γ— 10⁹⁡(96-digit number)
12405343116475091624…38650420455814937599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.481 Γ— 10⁹⁡(96-digit number)
24810686232950183248…77300840911629875199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.962 Γ— 10⁹⁡(96-digit number)
49621372465900366497…54601681823259750399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
9.924 Γ— 10⁹⁡(96-digit number)
99242744931800732994…09203363646519500799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.984 Γ— 10⁹⁢(97-digit number)
19848548986360146598…18406727293039001599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.969 Γ— 10⁹⁢(97-digit number)
39697097972720293197…36813454586078003199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
7.939 Γ— 10⁹⁢(97-digit number)
79394195945440586395…73626909172156006399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.587 Γ— 10⁹⁷(98-digit number)
15878839189088117279…47253818344312012799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.175 Γ— 10⁹⁷(98-digit number)
31757678378176234558…94507636688624025599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
6.351 Γ— 10⁹⁷(98-digit number)
63515356756352469116…89015273377248051199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.270 Γ— 10⁹⁸(99-digit number)
12703071351270493823…78030546754496102399
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 1494692

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 e8ea8875fb3062d76e4d34f6e8f2fe90ae89606caa6b70874494dbaee49682ee

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 #1,494,692 on Chainz β†—
Circulating Supply:57,849,509 XPMΒ·at block #6,825,674 Β· updates every 60s
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