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Home/Chain Registry/Block #1,828,596

Block #1,828,596

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/30/2016, 4:58:28 AM Β· Difficulty 10.7473 Β· 5,008,075 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
6a8246a57f3172491231176535301f8dfe5eb37f2e69b63b7a34403cc941c8ea
View on Chainz β†—

Difficulty

10.747318

Transactions

1

Size

200 B

Version

2

Bits

0abf5041

Nonce

1,222,439,510

Timestamp

10/30/2016, 4:58:28 AM

Confirmations

5,008,075

Merkle Root

8e9b5d93864ce021919359f148f928669f7c200537eaf2c933c9687aab95d9b3
Transactions (1)
Coinbase8e9b5d93864ce0…c9687aab95d9b3
1 in β†’ 1 out8.6400 XPM109 B
AH6VzYLq…iuYJ6UZE
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.

7.997 Γ— 10⁹⁢(97-digit number)
79973355341221792769…17632565912331161600
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
7.997 Γ— 10⁹⁢(97-digit number)
79973355341221792769…17632565912331161599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.599 Γ— 10⁹⁷(98-digit number)
15994671068244358553…35265131824662323199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.198 Γ— 10⁹⁷(98-digit number)
31989342136488717107…70530263649324646399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
6.397 Γ— 10⁹⁷(98-digit number)
63978684272977434215…41060527298649292799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.279 Γ— 10⁹⁸(99-digit number)
12795736854595486843…82121054597298585599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.559 Γ— 10⁹⁸(99-digit number)
25591473709190973686…64242109194597171199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.118 Γ— 10⁹⁸(99-digit number)
51182947418381947372…28484218389194342399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.023 Γ— 10⁹⁹(100-digit number)
10236589483676389474…56968436778388684799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.047 Γ— 10⁹⁹(100-digit number)
20473178967352778949…13936873556777369599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.094 Γ— 10⁹⁹(100-digit number)
40946357934705557898…27873747113554739199
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 1828596

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 6a8246a57f3172491231176535301f8dfe5eb37f2e69b63b7a34403cc941c8ea

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 #1,828,596 on Chainz β†—
Circulating Supply:57,937,647 XPMΒ·at block #6,836,670 Β· updates every 60s
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