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Home/Chain Registry/Block #1,453,971

Block #1,453,971

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/13/2016, 4:25:26 AM Β· Difficulty 10.7242 Β· 5,390,056 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
92ea9f70c84710002288f3cbeee4ccd9bcb0b1ef6c968213e1e82e2440200f3d
View on Chainz β†—

Difficulty

10.724179

Transactions

1

Size

199 B

Version

2

Bits

0ab963ca

Nonce

382,644,584

Timestamp

2/13/2016, 4:25:26 AM

Confirmations

5,390,056

Merkle Root

d7428fc868cb7adddecb0b86f503dc01e68070d5e3056667a490d7fb027a825e
Transactions (1)
Coinbased7428fc868cb7a…90d7fb027a825e
1 in β†’ 1 out8.6800 XPM109 B
ASGAQjEK…DqL41yR2
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.

7.654 Γ— 10⁹³(94-digit number)
76549201323014159613…74697537078147170300
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
7.654 Γ— 10⁹³(94-digit number)
76549201323014159613…74697537078147170299
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.530 Γ— 10⁹⁴(95-digit number)
15309840264602831922…49395074156294340599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.061 Γ— 10⁹⁴(95-digit number)
30619680529205663845…98790148312588681199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
6.123 Γ— 10⁹⁴(95-digit number)
61239361058411327690…97580296625177362399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.224 Γ— 10⁹⁡(96-digit number)
12247872211682265538…95160593250354724799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.449 Γ— 10⁹⁡(96-digit number)
24495744423364531076…90321186500709449599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.899 Γ— 10⁹⁡(96-digit number)
48991488846729062152…80642373001418899199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
9.798 Γ— 10⁹⁡(96-digit number)
97982977693458124304…61284746002837798399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.959 Γ— 10⁹⁢(97-digit number)
19596595538691624860…22569492005675596799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.919 Γ— 10⁹⁢(97-digit number)
39193191077383249721…45138984011351193599
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 1453971

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 92ea9f70c84710002288f3cbeee4ccd9bcb0b1ef6c968213e1e82e2440200f3d

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 #1,453,971 on Chainz β†—
Circulating Supply:57,996,592 XPMΒ·at block #6,844,026 Β· updates every 60s
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