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Home/Chain Registry/Block #2,284,495

Block #2,284,495

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 9/6/2017, 6:04:21 AM Β· Difficulty 10.9550 Β· 4,552,342 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
5106946f10929e89f5c551694c04f78802f9e846b7e9c185289f60c06625e1c8
View on Chainz β†—

Difficulty

10.955008

Transactions

1

Size

200 B

Version

2

Bits

0af47b6e

Nonce

403,285,255

Timestamp

9/6/2017, 6:04:21 AM

Confirmations

4,552,342

Merkle Root

4a990a80561f8d43cb28305edb0296eb5bba16959f13ef96cddcb5725c343cb6
Transactions (1)
Coinbase4a990a80561f8d…dcb5725c343cb6
1 in β†’ 1 out8.3200 XPM110 B
ANgGjC4t…mUR3miBY
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.

6.357 Γ— 10⁹⁡(96-digit number)
63575061055060206407…78096736209416901120
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
6.357 Γ— 10⁹⁡(96-digit number)
63575061055060206407…78096736209416901119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.271 Γ— 10⁹⁢(97-digit number)
12715012211012041281…56193472418833802239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.543 Γ— 10⁹⁢(97-digit number)
25430024422024082563…12386944837667604479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.086 Γ— 10⁹⁢(97-digit number)
50860048844048165126…24773889675335208959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.017 Γ— 10⁹⁷(98-digit number)
10172009768809633025…49547779350670417919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.034 Γ— 10⁹⁷(98-digit number)
20344019537619266050…99095558701340835839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.068 Γ— 10⁹⁷(98-digit number)
40688039075238532100…98191117402681671679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
8.137 Γ— 10⁹⁷(98-digit number)
81376078150477064201…96382234805363343359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.627 Γ— 10⁹⁸(99-digit number)
16275215630095412840…92764469610726686719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.255 Γ— 10⁹⁸(99-digit number)
32550431260190825680…85528939221453373439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
6.510 Γ— 10⁹⁸(99-digit number)
65100862520381651361…71057878442906746879
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 2284495

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 5106946f10929e89f5c551694c04f78802f9e846b7e9c185289f60c06625e1c8

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 #2,284,495 on Chainz β†—
Circulating Supply:57,938,983 XPMΒ·at block #6,836,836 Β· updates every 60s
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