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Block #1,472,230

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 2/26/2016, 4:39:59 AM Β· Difficulty 10.6977 Β· 5,370,180 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
dd27b51f6285beac4e05d4d44b5a364ff5c2f37ccf7618b1705cd425da445e56
View on Chainz β†—

Difficulty

10.697689

Transactions

1

Size

201 B

Version

2

Bits

0ab29bb9

Nonce

462,170,826

Timestamp

2/26/2016, 4:39:59 AM

Confirmations

5,370,180

Merkle Root

96f3789f3eb623c4ce2c0a0552b61950299fab56364c8abe66b80942ffab2edd
Transactions (1)
Coinbase96f3789f3eb623…b80942ffab2edd
1 in β†’ 1 out8.7200 XPM110 B
ATaywSer…FhBF7wY5
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.

1.409 Γ— 10⁹⁷(98-digit number)
14092191828603038720…15240538016705013760
Discovered Prime Numbers
p_k = 2^k Γ— origin + 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 + 1
1.409 Γ— 10⁹⁷(98-digit number)
14092191828603038720…15240538016705013761
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
2.818 Γ— 10⁹⁷(98-digit number)
28184383657206077440…30481076033410027521
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
5.636 Γ— 10⁹⁷(98-digit number)
56368767314412154881…60962152066820055041
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.127 Γ— 10⁹⁸(99-digit number)
11273753462882430976…21924304133640110081
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
2.254 Γ— 10⁹⁸(99-digit number)
22547506925764861952…43848608267280220161
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
4.509 Γ— 10⁹⁸(99-digit number)
45095013851529723905…87697216534560440321
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
9.019 Γ— 10⁹⁸(99-digit number)
90190027703059447810…75394433069120880641
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.803 Γ— 10⁹⁹(100-digit number)
18038005540611889562…50788866138241761281
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
3.607 Γ— 10⁹⁹(100-digit number)
36076011081223779124…01577732276483522561
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
7.215 Γ— 10⁹⁹(100-digit number)
72152022162447558248…03155464552967045121
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 Second 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 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 1472230

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 dd27b51f6285beac4e05d4d44b5a364ff5c2f37ccf7618b1705cd425da445e56

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 #1,472,230 on Chainz β†—
Circulating Supply:57,983,692 XPMΒ·at block #6,842,409 Β· updates every 60s
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