XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #17,096

Block #17,096

2CCLength 8β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 7/12/2013, 12:43:12 AM Β· Difficulty 7.8867 Β· 6,809,508 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
a463f3162321a9502b7678ae10bd9fc132fec5f8fc8bf4a2cc05d719ce4ba9d6
View on Chainz β†—

Height

#17,096

Difficulty

7.886687

Transactions

1

Size

199 B

Version

2

Bits

07e2fded

Nonce

324

Timestamp

7/12/2013, 12:43:12 AM

Confirmations

6,809,508

Merkle Root

700f18e5a7bd57a86e90e8b6ce64098ec7a52b47b538a2abb370db69567f68e3
Transactions (1)
Coinbase700f18e5a7bd57…70db69567f68e3
1 in β†’ 1 out16.0600 XPM108 B
AarfKB34…SPYHYupN
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.

2.968 Γ— 10⁹⁢(97-digit number)
29682430503332833334…79481960318132490450
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
2.968 Γ— 10⁹⁢(97-digit number)
29682430503332833334…79481960318132490451
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
5.936 Γ— 10⁹⁢(97-digit number)
59364861006665666668…58963920636264980901
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
1.187 Γ— 10⁹⁷(98-digit number)
11872972201333133333…17927841272529961801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
2.374 Γ— 10⁹⁷(98-digit number)
23745944402666266667…35855682545059923601
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
4.749 Γ— 10⁹⁷(98-digit number)
47491888805332533334…71711365090119847201
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
9.498 Γ— 10⁹⁷(98-digit number)
94983777610665066669…43422730180239694401
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
1.899 Γ— 10⁹⁸(99-digit number)
18996755522133013333…86845460360479388801
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
3.799 Γ— 10⁹⁸(99-digit number)
37993511044266026667…73690920720958777601
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 8 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
CommonChain length 8
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 17096

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 a463f3162321a9502b7678ae10bd9fc132fec5f8fc8bf4a2cc05d719ce4ba9d6

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 #17,096 on Chainz β†—
Circulating Supply:57,856,984 XPMΒ·at block #6,826,603 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