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Home/Chain Registry/Block #1,432,544

Block #1,432,544

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/28/2016, 9:19:12 AM Β· Difficulty 10.7869 Β· 5,411,481 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
29da2d0d633f05bd67f35ea28662c73c44f4f463a0c6ee93b1fde57d5a6993fb
View on Chainz β†—

Difficulty

10.786925

Transactions

1

Size

201 B

Version

2

Bits

0ac973e5

Nonce

648,630,766

Timestamp

1/28/2016, 9:19:12 AM

Confirmations

5,411,481

Merkle Root

4d61ee2a49a9244c9cba29bf7f8475c9e390b8f8a07182efb235771d3e66a0fc
Transactions (1)
Coinbase4d61ee2a49a924…35771d3e66a0fc
1 in β†’ 1 out8.5800 XPM110 B
APZn4cia…FujjEhGH
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.

1.412 Γ— 10⁹⁷(98-digit number)
14121666643639796072…86642242206935449600
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
1.412 Γ— 10⁹⁷(98-digit number)
14121666643639796072…86642242206935449599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.824 Γ— 10⁹⁷(98-digit number)
28243333287279592144…73284484413870899199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
5.648 Γ— 10⁹⁷(98-digit number)
56486666574559184288…46568968827741798399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.129 Γ— 10⁹⁸(99-digit number)
11297333314911836857…93137937655483596799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.259 Γ— 10⁹⁸(99-digit number)
22594666629823673715…86275875310967193599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.518 Γ— 10⁹⁸(99-digit number)
45189333259647347431…72551750621934387199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.037 Γ— 10⁹⁸(99-digit number)
90378666519294694862…45103501243868774399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.807 Γ— 10⁹⁹(100-digit number)
18075733303858938972…90207002487737548799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.615 Γ— 10⁹⁹(100-digit number)
36151466607717877944…80414004975475097599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.230 Γ— 10⁹⁹(100-digit number)
72302933215435755889…60828009950950195199
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 1432544

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 29da2d0d633f05bd67f35ea28662c73c44f4f463a0c6ee93b1fde57d5a6993fb

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 #1,432,544 on Chainz β†—
Circulating Supply:57,996,582 XPMΒ·at block #6,844,024 Β· updates every 60s
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