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Home/Chain Registry/Block #949,697

Block #949,697

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/24/2015, 2:16:40 AM Β· Difficulty 10.8987 Β· 5,850,852 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
5c689237e0dcecd2b2b9a4d4400e8520d521755d6a93f35c85aa0638e4dafe24
View on Chainz β†—

Height

#949,697

Difficulty

10.898672

Transactions

1

Size

207 B

Version

2

Bits

0ae60f5f

Nonce

242,581,169

Timestamp

2/24/2015, 2:16:40 AM

Confirmations

5,850,852

Merkle Root

2d5f3b9769b35058ff5204dde84592dc08a19ced0e68649f197925b8f83cd81d
Transactions (1)
Coinbase2d5f3b9769b350…7925b8f83cd81d
1 in β†’ 1 out8.4100 XPM116 B
ANSXnLY2…Sd25TjkD
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.

9.014 Γ— 10⁹⁢(97-digit number)
90140806174658312381…00603683275819944750
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
9.014 Γ— 10⁹⁢(97-digit number)
90140806174658312381…00603683275819944749
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.802 Γ— 10⁹⁷(98-digit number)
18028161234931662476…01207366551639889499
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
3.605 Γ— 10⁹⁷(98-digit number)
36056322469863324952…02414733103279778999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
7.211 Γ— 10⁹⁷(98-digit number)
72112644939726649904…04829466206559557999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.442 Γ— 10⁹⁸(99-digit number)
14422528987945329980…09658932413119115999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.884 Γ— 10⁹⁸(99-digit number)
28845057975890659961…19317864826238231999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
5.769 Γ— 10⁹⁸(99-digit number)
57690115951781319923…38635729652476463999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.153 Γ— 10⁹⁹(100-digit number)
11538023190356263984…77271459304952927999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.307 Γ— 10⁹⁹(100-digit number)
23076046380712527969…54542918609905855999
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
4.615 Γ— 10⁹⁹(100-digit number)
46152092761425055939…09085837219811711999
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 949697

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 5c689237e0dcecd2b2b9a4d4400e8520d521755d6a93f35c85aa0638e4dafe24

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 #949,697 on Chainz β†—
Circulating Supply:57,648,456 XPMΒ·at block #6,800,548 Β· updates every 60s
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