XPM Prime Explorer symbol
XPMPrime Explorer
Home/Chain Registry/Block #2,095,080

Block #2,095,080

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/1/2017, 1:31:05 AM Β· Difficulty 10.8720 Β· 4,744,697 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
48bd7c027039588497284b15f8e8c0fd1da7e44473b22a73b537cb4ffc358da8
View on Chainz β†—

Difficulty

10.871966

Transactions

1

Size

200 B

Version

2

Bits

0adf3929

Nonce

396,957,891

Timestamp

5/1/2017, 1:31:05 AM

Confirmations

4,744,697

Merkle Root

80410bc65acca71007e68b2f4ae5259f484d46a66a7c62003e9a57140a2c432d
Transactions (1)
Coinbase80410bc65acca7…9a57140a2c432d
1 in β†’ 1 out8.4500 XPM110 B
AHMsCkcX…xy1xCzyu
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.

1.509 Γ— 10⁹⁡(96-digit number)
15098794370373973309…85966970804762322240
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
1.509 Γ— 10⁹⁡(96-digit number)
15098794370373973309…85966970804762322239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.019 Γ— 10⁹⁡(96-digit number)
30197588740747946618…71933941609524644479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.039 Γ— 10⁹⁡(96-digit number)
60395177481495893237…43867883219049288959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.207 Γ— 10⁹⁢(97-digit number)
12079035496299178647…87735766438098577919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.415 Γ— 10⁹⁢(97-digit number)
24158070992598357294…75471532876197155839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.831 Γ— 10⁹⁢(97-digit number)
48316141985196714589…50943065752394311679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.663 Γ— 10⁹⁢(97-digit number)
96632283970393429179…01886131504788623359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.932 Γ— 10⁹⁷(98-digit number)
19326456794078685835…03772263009577246719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.865 Γ— 10⁹⁷(98-digit number)
38652913588157371671…07544526019154493439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.730 Γ— 10⁹⁷(98-digit number)
77305827176314743343…15089052038308986879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.546 Γ— 10⁹⁸(99-digit number)
15461165435262948668…30178104076617973759
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 2095080

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 48bd7c027039588497284b15f8e8c0fd1da7e44473b22a73b537cb4ffc358da8

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 #2,095,080 on Chainz β†—
Circulating Supply:57,962,506 XPMΒ·at block #6,839,776 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