XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #1,424,532

Block #1,424,532

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 1/23/2016, 12:18:29 AM Β· Difficulty 10.7749 Β· 5,417,377 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
3fc67cbf64d2dfabd9b4ec925dbed6715a7fa8a0aa763ab3c99d29ee1d3c9fe0
View on Chainz β†—

Difficulty

10.774861

Transactions

2

Size

2.00 KB

Version

2

Bits

0ac65d4d

Nonce

253,910,506

Timestamp

1/23/2016, 12:18:29 AM

Confirmations

5,417,377

Merkle Root

ac3e363b66d6230ab85a340c8a5ca9f5861fce4b0320424098ab3b443f92e6b4
Transactions (2)
Coinbasead7e6287aac6d7…ac3a495d8b0beb
1 in β†’ 1 out8.6200 XPM110 B
AbUv9C3d…1f3UxwqX
04e995f79943a1…539d5ca035d684
12 in β†’ 2 out83.3461 XPM1.81 KB
AaoKQNdZ…RkuMLWYGAJVeRHXf…C2yREH1f
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.

7.970 Γ— 10⁹⁴(95-digit number)
79704682531201290378…54675371250864781960
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
7.970 Γ— 10⁹⁴(95-digit number)
79704682531201290378…54675371250864781961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
1.594 Γ— 10⁹⁡(96-digit number)
15940936506240258075…09350742501729563921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
3.188 Γ— 10⁹⁡(96-digit number)
31881873012480516151…18701485003459127841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
6.376 Γ— 10⁹⁡(96-digit number)
63763746024961032302…37402970006918255681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.275 Γ— 10⁹⁢(97-digit number)
12752749204992206460…74805940013836511361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
2.550 Γ— 10⁹⁢(97-digit number)
25505498409984412921…49611880027673022721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
5.101 Γ— 10⁹⁢(97-digit number)
51010996819968825842…99223760055346045441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.020 Γ— 10⁹⁷(98-digit number)
10202199363993765168…98447520110692090881
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
2.040 Γ— 10⁹⁷(98-digit number)
20404398727987530336…96895040221384181761
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
4.080 Γ— 10⁹⁷(98-digit number)
40808797455975060673…93790080442768363521
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 1424532

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 3fc67cbf64d2dfabd9b4ec925dbed6715a7fa8a0aa763ab3c99d29ee1d3c9fe0

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 #1,424,532 on Chainz β†—
Circulating Supply:57,979,647 XPMΒ·at block #6,841,908 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