XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #1,611,552

Block #1,611,552

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 6/2/2016, 10:21:31 PM Β· Difficulty 10.6063 Β· 5,215,644 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
5954c6eef242b893dc211a18d397b4fecd4c3c19c5d6edfd5b0c7224d8d7feb0
View on Chainz β†—

Difficulty

10.606312

Transactions

1

Size

201 B

Version

2

Bits

0a9b3740

Nonce

986,094,867

Timestamp

6/2/2016, 10:21:31 PM

Confirmations

5,215,644

Merkle Root

7b372654dd26356855a9b520fc5e8b600d0b4b59ade77b2026f21624c1904c51
Transactions (1)
Coinbase7b372654dd2635…f21624c1904c51
1 in β†’ 1 out8.8800 XPM110 B
AHX3qHYB…443Qtemg
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.

9.001 Γ— 10⁹⁡(96-digit number)
90017379958626095216…92541831700619673600
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
9.001 Γ— 10⁹⁡(96-digit number)
90017379958626095216…92541831700619673599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.800 Γ— 10⁹⁢(97-digit number)
18003475991725219043…85083663401239347199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.600 Γ— 10⁹⁢(97-digit number)
36006951983450438086…70167326802478694399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.201 Γ— 10⁹⁢(97-digit number)
72013903966900876173…40334653604957388799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.440 Γ— 10⁹⁷(98-digit number)
14402780793380175234…80669307209914777599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.880 Γ— 10⁹⁷(98-digit number)
28805561586760350469…61338614419829555199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.761 Γ— 10⁹⁷(98-digit number)
57611123173520700938…22677228839659110399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.152 Γ— 10⁹⁸(99-digit number)
11522224634704140187…45354457679318220799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.304 Γ— 10⁹⁸(99-digit number)
23044449269408280375…90708915358636441599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.608 Γ— 10⁹⁸(99-digit number)
46088898538816560750…81417830717272883199
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 1611552

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 5954c6eef242b893dc211a18d397b4fecd4c3c19c5d6edfd5b0c7224d8d7feb0

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 #1,611,552 on Chainz β†—
Circulating Supply:57,861,664 XPMΒ·at block #6,827,195 Β· updates every 60s
xpmprime.info is a work in progress. If you enjoy using this service you can support this project with a Primecoin donation.
Privacy PolicyΒ·
AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

Cookie Preferences

We use cookies to enhance your experience. Some are essential for the site to function, while others help us understand how you use the site.

Β·Privacy Policy