XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #2,592,115

Block #2,592,115

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/30/2018, 3:20:00 AM Β· Difficulty 11.3199 Β· 4,241,125 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
288368a002363546a9b1ccf8d36aa5ab1df380a10ea789f117d2996d0ea0d9b0
View on Chainz β†—

Difficulty

11.319930

Transactions

1

Size

200 B

Version

2

Bits

0b51e6ed

Nonce

461,307,694

Timestamp

3/30/2018, 3:20:00 AM

Confirmations

4,241,125

Merkle Root

6f38095f002a81fba9c690e89732e58e664719d8b892523aa7d0556881c64160
Transactions (1)
Coinbase6f38095f002a81…d0556881c64160
1 in β†’ 1 out7.7900 XPM110 B
Aa79afZp…nCgzJ3iw
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.

1.649 Γ— 10⁹⁡(96-digit number)
16491014712741306987…01747376375502394840
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
1.649 Γ— 10⁹⁡(96-digit number)
16491014712741306987…01747376375502394839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.298 Γ— 10⁹⁡(96-digit number)
32982029425482613974…03494752751004789679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.596 Γ— 10⁹⁡(96-digit number)
65964058850965227948…06989505502009579359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.319 Γ— 10⁹⁢(97-digit number)
13192811770193045589…13979011004019158719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.638 Γ— 10⁹⁢(97-digit number)
26385623540386091179…27958022008038317439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
5.277 Γ— 10⁹⁢(97-digit number)
52771247080772182358…55916044016076634879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.055 Γ— 10⁹⁷(98-digit number)
10554249416154436471…11832088032153269759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.110 Γ— 10⁹⁷(98-digit number)
21108498832308872943…23664176064306539519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
4.221 Γ— 10⁹⁷(98-digit number)
42216997664617745887…47328352128613079039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
8.443 Γ— 10⁹⁷(98-digit number)
84433995329235491774…94656704257226158079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.688 Γ— 10⁹⁸(99-digit number)
16886799065847098354…89313408514452316159
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 2592115

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 288368a002363546a9b1ccf8d36aa5ab1df380a10ea789f117d2996d0ea0d9b0

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 #2,592,115 on Chainz β†—
Circulating Supply:57,910,108 XPMΒ·at block #6,833,239 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