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Home/Chain Registry/Block #1,134,291

Block #1,134,291

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 6/30/2015, 3:52:12 PM Β· Difficulty 10.9386 Β· 5,690,723 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
426532fd78462c1ce3b07f9614a8c773d5f9bdbb0f616b8719bad58c4e16a4e5
View on Chainz β†—

Difficulty

10.938609

Transactions

1

Size

243 B

Version

2

Bits

0af048a8

Nonce

640,962,941

Timestamp

6/30/2015, 3:52:12 PM

Confirmations

5,690,723

Merkle Root

39b5c3a14319ed59c4859caf8d7d0f85ff13edd1e7ec7be04a1fbf244baf8dd4
Transactions (1)
Coinbase39b5c3a14319ed…1fbf244baf8dd4
1 in β†’ 2 out8.3400 XPM152 B
ALvkQ7GT…sAFEPZyuALPu3s2c…EJXLjVFh
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.

3.726 Γ— 10⁹⁢(97-digit number)
37267911902204546157…63060494373765698240
Discovered Prime Numbers
p_k = 2^k Γ— origin + 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 + 1
3.726 Γ— 10⁹⁢(97-digit number)
37267911902204546157…63060494373765698241
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
7.453 Γ— 10⁹⁢(97-digit number)
74535823804409092315…26120988747531396481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
1.490 Γ— 10⁹⁷(98-digit number)
14907164760881818463…52241977495062792961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
2.981 Γ— 10⁹⁷(98-digit number)
29814329521763636926…04483954990125585921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
5.962 Γ— 10⁹⁷(98-digit number)
59628659043527273852…08967909980251171841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
1.192 Γ— 10⁹⁸(99-digit number)
11925731808705454770…17935819960502343681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
2.385 Γ— 10⁹⁸(99-digit number)
23851463617410909540…35871639921004687361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
4.770 Γ— 10⁹⁸(99-digit number)
47702927234821819081…71743279842009374721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
9.540 Γ— 10⁹⁸(99-digit number)
95405854469643638163…43486559684018749441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
1.908 Γ— 10⁹⁹(100-digit number)
19081170893928727632…86973119368037498881
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 Second 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 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 1134291

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 426532fd78462c1ce3b07f9614a8c773d5f9bdbb0f616b8719bad58c4e16a4e5

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 #1,134,291 on Chainz β†—
Circulating Supply:57,844,197 XPMΒ·at block #6,825,013 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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