XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #114,568

Block #114,568

1CCLength 9β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 8/13/2013, 5:40:52 AM Β· Difficulty 9.7399 Β· 6,711,514 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
12cbbec47b670d4b15d48d507770be127dc20f5865a63a1cdfd6a049b0694642
View on Chainz β†—

Height

#114,568

Difficulty

9.739872

Transactions

1

Size

201 B

Version

2

Bits

09bd6846

Nonce

44,076

Timestamp

8/13/2013, 5:40:52 AM

Confirmations

6,711,514

Merkle Root

aa4b9dfe2e0987112f1eb045347810479da18106410b1e88d2aa01bb9d4ddf0d
Transactions (1)
Coinbaseaa4b9dfe2e0987…aa01bb9d4ddf0d
1 in β†’ 1 out10.5300 XPM109 B
ANLKLSDr…yECYyy1Z
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.

2.991 Γ— 10⁹⁸(99-digit number)
29917747961459402561…96092620235839505850
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
2.991 Γ— 10⁹⁸(99-digit number)
29917747961459402561…96092620235839505849
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.983 Γ— 10⁹⁸(99-digit number)
59835495922918805122…92185240471679011699
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.196 Γ— 10⁹⁹(100-digit number)
11967099184583761024…84370480943358023399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.393 Γ— 10⁹⁹(100-digit number)
23934198369167522049…68740961886716046799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.786 Γ— 10⁹⁹(100-digit number)
47868396738335044098…37481923773432093599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
9.573 Γ— 10⁹⁹(100-digit number)
95736793476670088196…74963847546864187199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.914 Γ— 10¹⁰⁰(101-digit number)
19147358695334017639…49927695093728374399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.829 Γ— 10¹⁰⁰(101-digit number)
38294717390668035278…99855390187456748799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
7.658 Γ— 10¹⁰⁰(101-digit number)
76589434781336070556…99710780374913497599
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 9 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
CommonChain length 9
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 114568

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 12cbbec47b670d4b15d48d507770be127dc20f5865a63a1cdfd6a049b0694642

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 #114,568 on Chainz β†—
Circulating Supply:57,852,777 XPMΒ·at block #6,826,081 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