XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #1,595,199

Block #1,595,199

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 5/22/2016, 10:03:57 AM Β· Difficulty 10.6228 Β· 5,244,161 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
2acc04057a1684beabc6d6f91dd45318d38a411501e1e35b03cc8c540a42707d
View on Chainz β†—

Difficulty

10.622837

Transactions

1

Size

199 B

Version

2

Bits

0a9f7238

Nonce

1,423,819,982

Timestamp

5/22/2016, 10:03:57 AM

Confirmations

5,244,161

Merkle Root

bd7303536eeb29e2ee080d0e8b8a72c5eae79950b50308ee1e3e41e2de3c45ac
Transactions (1)
Coinbasebd7303536eeb29…3e41e2de3c45ac
1 in β†’ 1 out8.8500 XPM109 B
ASgqmpzD…JJRLBcEa
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.

1.180 Γ— 10⁹⁴(95-digit number)
11803006337049835046…79786318595505832000
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
1.180 Γ— 10⁹⁴(95-digit number)
11803006337049835046…79786318595505832001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
2.360 Γ— 10⁹⁴(95-digit number)
23606012674099670092…59572637191011664001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
4.721 Γ— 10⁹⁴(95-digit number)
47212025348199340184…19145274382023328001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
9.442 Γ— 10⁹⁴(95-digit number)
94424050696398680369…38290548764046656001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.888 Γ— 10⁹⁡(96-digit number)
18884810139279736073…76581097528093312001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
3.776 Γ— 10⁹⁡(96-digit number)
37769620278559472147…53162195056186624001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
7.553 Γ— 10⁹⁡(96-digit number)
75539240557118944295…06324390112373248001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.510 Γ— 10⁹⁢(97-digit number)
15107848111423788859…12648780224746496001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
3.021 Γ— 10⁹⁢(97-digit number)
30215696222847577718…25297560449492992001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
6.043 Γ— 10⁹⁢(97-digit number)
60431392445695155436…50595120898985984001
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 1595199

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 2acc04057a1684beabc6d6f91dd45318d38a411501e1e35b03cc8c540a42707d

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 #1,595,199 on Chainz β†—
Circulating Supply:57,959,160 XPMΒ·at block #6,839,359 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