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Home/Chain Registry/Block #1,450,324

Block #1,450,324

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 2/10/2016, 7:05:52 AM Β· Difficulty 10.7507 Β· 5,391,503 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
db19669b421d215cd78734392b3f97af9215ba45ce52b57ed053eed11d703147
View on Chainz β†—

Difficulty

10.750716

Transactions

1

Size

199 B

Version

2

Bits

0ac02ef3

Nonce

443,749,343

Timestamp

2/10/2016, 7:05:52 AM

Confirmations

5,391,503

Merkle Root

eb8d3737a5d7ff84b839a4eff87ee516ab7d71ffb489042f9360c66245839948
Transactions (1)
Coinbaseeb8d3737a5d7ff…60c66245839948
1 in β†’ 1 out8.6400 XPM109 B
ANao5Avn…4yzppdCU
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.

6.334 Γ— 10⁹⁴(95-digit number)
63344162867806806951…70433053900748244480
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
6.334 Γ— 10⁹⁴(95-digit number)
63344162867806806951…70433053900748244481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
1.266 Γ— 10⁹⁡(96-digit number)
12668832573561361390…40866107801496488961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
2.533 Γ— 10⁹⁡(96-digit number)
25337665147122722780…81732215602992977921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
5.067 Γ— 10⁹⁡(96-digit number)
50675330294245445561…63464431205985955841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.013 Γ— 10⁹⁢(97-digit number)
10135066058849089112…26928862411971911681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
2.027 Γ— 10⁹⁢(97-digit number)
20270132117698178224…53857724823943823361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
4.054 Γ— 10⁹⁢(97-digit number)
40540264235396356448…07715449647887646721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
8.108 Γ— 10⁹⁢(97-digit number)
81080528470792712897…15430899295775293441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
1.621 Γ— 10⁹⁷(98-digit number)
16216105694158542579…30861798591550586881
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
3.243 Γ— 10⁹⁷(98-digit number)
32432211388317085159…61723597183101173761
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 1450324

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 db19669b421d215cd78734392b3f97af9215ba45ce52b57ed053eed11d703147

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 #1,450,324 on Chainz β†—
Circulating Supply:57,978,989 XPMΒ·at block #6,841,826 Β· updates every 60s
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