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Block #1,525,482

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/4/2016, 4:04:04 AM Β· Difficulty 10.6007 Β· 5,319,575 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
2265336e9742326bca75605ad7d90c0802d0503cb9080f7e4274dabc2a29ccc8
View on Chainz β†—

Difficulty

10.600730

Transactions

1

Size

199 B

Version

2

Bits

0a99c974

Nonce

378,858,303

Timestamp

4/4/2016, 4:04:04 AM

Confirmations

5,319,575

Merkle Root

df38768d38746c8ca44caa0c13b39c25ca82756ee7de75e2797da477ee04d0fc
Transactions (1)
Coinbasedf38768d38746c…7da477ee04d0fc
1 in β†’ 1 out8.8800 XPM109 B
Ab7CCieH…ZCRFFHnw
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.

2.915 Γ— 10⁹⁴(95-digit number)
29151811109924081920…28087295012125022720
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
2.915 Γ— 10⁹⁴(95-digit number)
29151811109924081920…28087295012125022719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.830 Γ— 10⁹⁴(95-digit number)
58303622219848163840…56174590024250045439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.166 Γ— 10⁹⁡(96-digit number)
11660724443969632768…12349180048500090879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.332 Γ— 10⁹⁡(96-digit number)
23321448887939265536…24698360097000181759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.664 Γ— 10⁹⁡(96-digit number)
46642897775878531072…49396720194000363519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
9.328 Γ— 10⁹⁡(96-digit number)
93285795551757062144…98793440388000727039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.865 Γ— 10⁹⁢(97-digit number)
18657159110351412428…97586880776001454079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.731 Γ— 10⁹⁢(97-digit number)
37314318220702824857…95173761552002908159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
7.462 Γ— 10⁹⁢(97-digit number)
74628636441405649715…90347523104005816319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.492 Γ— 10⁹⁷(98-digit number)
14925727288281129943…80695046208011632639
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 1525482

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 2265336e9742326bca75605ad7d90c0802d0503cb9080f7e4274dabc2a29ccc8

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 #1,525,482 on Chainz β†—
Circulating Supply:58,004,880 XPMΒ·at block #6,845,056 Β· updates every 60s
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