XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #848,832

Block #848,832

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 12/11/2014, 9:10:16 AM Β· Difficulty 10.9715 Β· 5,994,043 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
6db9e73f2eae1444d9e1bbaea39c27cf61159c46bcd40099f465235390cd3a6d
View on Chainz β†—

Height

#848,832

Difficulty

10.971495

Transactions

2

Size

433 B

Version

2

Bits

0af8b3e9

Nonce

607,038,777

Timestamp

12/11/2014, 9:10:16 AM

Confirmations

5,994,043

Merkle Root

15b72d38bd6f5cd508ba319d12fddcd799422aec9c64eac3aed4dd8ff9a30727
Transactions (2)
Coinbase977500e1baf91a…cde6f4dac1a862
1 in β†’ 1 out8.3050 XPM116 B
ANSXnLY2…Sd25TjkD
862744c314ec7e…d767c9ebf20e50
1 in β†’ 2 out0.0905 XPM226 B
AU5xqmwx…UN6TBjSFAVYuHya7…y13wKG81
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.

2.127 Γ— 10⁹⁢(97-digit number)
21275895586334126735…43813396245158636000
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
2.127 Γ— 10⁹⁢(97-digit number)
21275895586334126735…43813396245158636001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
4.255 Γ— 10⁹⁢(97-digit number)
42551791172668253470…87626792490317272001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
8.510 Γ— 10⁹⁢(97-digit number)
85103582345336506941…75253584980634544001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.702 Γ— 10⁹⁷(98-digit number)
17020716469067301388…50507169961269088001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
3.404 Γ— 10⁹⁷(98-digit number)
34041432938134602776…01014339922538176001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
6.808 Γ— 10⁹⁷(98-digit number)
68082865876269205553…02028679845076352001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
1.361 Γ— 10⁹⁸(99-digit number)
13616573175253841110…04057359690152704001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
2.723 Γ— 10⁹⁸(99-digit number)
27233146350507682221…08114719380305408001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
5.446 Γ— 10⁹⁸(99-digit number)
54466292701015364442…16229438760610816001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
1.089 Γ— 10⁹⁹(100-digit number)
10893258540203072888…32458877521221632001
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 848832

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 6db9e73f2eae1444d9e1bbaea39c27cf61159c46bcd40099f465235390cd3a6d

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 #848,832 on Chainz β†—
Circulating Supply:57,987,344 XPMΒ·at block #6,842,874 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