XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #1,172,347

Block #1,172,347

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 7/27/2015, 5:36:59 AM Β· Difficulty 10.9372 Β· 5,670,150 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
cf3a3ff365add449eef20a301e4f95f128b29b73d5610ff6d8b6efebed374273
View on Chainz β†—

Difficulty

10.937231

Transactions

1

Size

200 B

Version

2

Bits

0aefee5c

Nonce

132,076,867

Timestamp

7/27/2015, 5:36:59 AM

Confirmations

5,670,150

Merkle Root

2b46682e51de9583d8ed8b4790ebd5d780bf1814d15e0835d1e46be16542bf7f
Transactions (1)
Coinbase2b46682e51de95…e46be16542bf7f
1 in β†’ 1 out8.3500 XPM110 B
AeE2aqTJ…8AMJP1tk
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.

6.441 Γ— 10⁹⁴(95-digit number)
64416126014109626996…25323883620910402760
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
6.441 Γ— 10⁹⁴(95-digit number)
64416126014109626996…25323883620910402759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.288 Γ— 10⁹⁡(96-digit number)
12883225202821925399…50647767241820805519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.576 Γ— 10⁹⁡(96-digit number)
25766450405643850798…01295534483641611039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.153 Γ— 10⁹⁡(96-digit number)
51532900811287701596…02591068967283222079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.030 Γ— 10⁹⁢(97-digit number)
10306580162257540319…05182137934566444159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.061 Γ— 10⁹⁢(97-digit number)
20613160324515080638…10364275869132888319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.122 Γ— 10⁹⁢(97-digit number)
41226320649030161277…20728551738265776639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
8.245 Γ— 10⁹⁢(97-digit number)
82452641298060322554…41457103476531553279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.649 Γ— 10⁹⁷(98-digit number)
16490528259612064510…82914206953063106559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.298 Γ— 10⁹⁷(98-digit number)
32981056519224129021…65828413906126213119
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 1172347

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 cf3a3ff365add449eef20a301e4f95f128b29b73d5610ff6d8b6efebed374273

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 #1,172,347 on Chainz β†—
Circulating Supply:57,984,395 XPMΒ·at block #6,842,496 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