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Home/Chain Registry/Block #949,698

Block #949,698

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/24/2015, 2:18:15 AM Β· Difficulty 10.8987 Β· 5,850,539 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
598022e56a481b24edde2c61e0dda5fa103c153aafa82274e7d9637306faeb08
View on Chainz β†—

Height

#949,698

Difficulty

10.898682

Transactions

2

Size

1.29 KB

Version

2

Bits

0ae61008

Nonce

44,964,910

Timestamp

2/24/2015, 2:18:15 AM

Confirmations

5,850,539

Merkle Root

b68870fbbe7dc02f457aa4bb93f91cc41cf8cd445fb183573bb7094ad48b2c67
Transactions (2)
Coinbaseaec8d577d4cefa…71a4c9acf3797b
1 in β†’ 1 out8.4300 XPM116 B
ANSXnLY2…Sd25TjkD
98893e2dc25e15…76fe4563c1285a
7 in β†’ 2 out2434.9486 XPM1.09 KB
AGUzjaiJ…LT7JPFcDAUSxVrre…B27XD3yv
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.

3.159 Γ— 10⁹⁡(96-digit number)
31590648530780750821…12553124106380883690
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
3.159 Γ— 10⁹⁡(96-digit number)
31590648530780750821…12553124106380883689
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
6.318 Γ— 10⁹⁡(96-digit number)
63181297061561501642…25106248212761767379
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.263 Γ— 10⁹⁢(97-digit number)
12636259412312300328…50212496425523534759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.527 Γ— 10⁹⁢(97-digit number)
25272518824624600656…00424992851047069519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
5.054 Γ— 10⁹⁢(97-digit number)
50545037649249201313…00849985702094139039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.010 Γ— 10⁹⁷(98-digit number)
10109007529849840262…01699971404188278079
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
2.021 Γ— 10⁹⁷(98-digit number)
20218015059699680525…03399942808376556159
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
4.043 Γ— 10⁹⁷(98-digit number)
40436030119399361051…06799885616753112319
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
8.087 Γ— 10⁹⁷(98-digit number)
80872060238798722102…13599771233506224639
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.617 Γ— 10⁹⁸(99-digit number)
16174412047759744420…27199542467012449279
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 949698

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 598022e56a481b24edde2c61e0dda5fa103c153aafa82274e7d9637306faeb08

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 #949,698 on Chainz β†—
Circulating Supply:57,645,950 XPMΒ·at block #6,800,236 Β· updates every 60s
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