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Home/Chain Registry/Block #2,296,683

Block #2,296,683

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 9/15/2017, 2:46:47 AM Β· Difficulty 10.9500 Β· 4,536,783 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
335aaf16e93409d263cb2d85f8b22c94571a4f077d1c9b35e15e30181f2696c2
View on Chainz β†—

Difficulty

10.949994

Transactions

1

Size

243 B

Version

2

Bits

0af332d1

Nonce

1,899,799,949

Timestamp

9/15/2017, 2:46:47 AM

Confirmations

4,536,783

Merkle Root

30983ff1fa9e250b94e408aad75801281e2d9870e966807096c2c30a5bfe4105
Transactions (1)
Coinbase30983ff1fa9e25…c2c30a5bfe4105
1 in β†’ 2 out8.3300 XPM152 B
ARNe3C8D…KfGUT8YNAXbk7f7A…Tx7JECPG
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.

9.484 Γ— 10⁹⁡(96-digit number)
94849240448431762671…93163938795512558080
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
9.484 Γ— 10⁹⁡(96-digit number)
94849240448431762671…93163938795512558079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.896 Γ— 10⁹⁢(97-digit number)
18969848089686352534…86327877591025116159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.793 Γ— 10⁹⁢(97-digit number)
37939696179372705068…72655755182050232319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.587 Γ— 10⁹⁢(97-digit number)
75879392358745410137…45311510364100464639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.517 Γ— 10⁹⁷(98-digit number)
15175878471749082027…90623020728200929279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.035 Γ— 10⁹⁷(98-digit number)
30351756943498164054…81246041456401858559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
6.070 Γ— 10⁹⁷(98-digit number)
60703513886996328109…62492082912803717119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.214 Γ— 10⁹⁸(99-digit number)
12140702777399265621…24984165825607434239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.428 Γ— 10⁹⁸(99-digit number)
24281405554798531243…49968331651214868479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.856 Γ— 10⁹⁸(99-digit number)
48562811109597062487…99936663302429736959
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 2296683

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 335aaf16e93409d263cb2d85f8b22c94571a4f077d1c9b35e15e30181f2696c2

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 #2,296,683 on Chainz β†—
Circulating Supply:57,911,929 XPMΒ·at block #6,833,465 Β· updates every 60s
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