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Block #483,732

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 4/10/2014, 5:15:26 AM Β· Difficulty 10.5689 Β· 6,361,587 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
d904a94c11d062934e5d07bdde60fedab8ee53ddd4bab2d1f2a6b98e1979a590
View on Chainz β†—

Height

#483,732

Difficulty

10.568884

Transactions

1

Size

207 B

Version

2

Bits

0a91a265

Nonce

94,882

Timestamp

4/10/2014, 5:15:26 AM

Confirmations

6,361,587

Merkle Root

c8407c165c788eafbe3d2759636a652aac2341d8268232dfbbbf842d9acb21cb
Transactions (1)
Coinbasec8407c165c788e…bf842d9acb21cb
1 in β†’ 1 out8.9400 XPM116 B
AbwWkWZt…kawDhufa
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.

9.594 Γ— 10⁹⁷(98-digit number)
95942372889073961205…61211289311668718040
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
9.594 Γ— 10⁹⁷(98-digit number)
95942372889073961205…61211289311668718039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.918 Γ— 10⁹⁸(99-digit number)
19188474577814792241…22422578623337436079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.837 Γ— 10⁹⁸(99-digit number)
38376949155629584482…44845157246674872159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.675 Γ— 10⁹⁸(99-digit number)
76753898311259168964…89690314493349744319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.535 Γ— 10⁹⁹(100-digit number)
15350779662251833792…79380628986699488639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.070 Γ— 10⁹⁹(100-digit number)
30701559324503667585…58761257973398977279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.140 Γ— 10⁹⁹(100-digit number)
61403118649007335171…17522515946797954559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.228 Γ— 10¹⁰⁰(101-digit number)
12280623729801467034…35045031893595909119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.456 Γ— 10¹⁰⁰(101-digit number)
24561247459602934068…70090063787191818239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.912 Γ— 10¹⁰⁰(101-digit number)
49122494919205868137…40180127574383636479
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 483732

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 d904a94c11d062934e5d07bdde60fedab8ee53ddd4bab2d1f2a6b98e1979a590

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 #483,732 on Chainz β†—
Circulating Supply:58,006,990 XPMΒ·at block #6,845,318 Β· updates every 60s
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