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Block #1,606,513

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 5/30/2016, 10:10:19 AM Β· Difficulty 10.6071 Β· 5,231,676 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
c8bb8b880b5addd3a43a64871373b94cc7ed36f9bffe79dfc1fcaed2495a7d6e
View on Chainz β†—

Difficulty

10.607119

Transactions

1

Size

200 B

Version

2

Bits

0a9b6c23

Nonce

671,348,978

Timestamp

5/30/2016, 10:10:19 AM

Confirmations

5,231,676

Merkle Root

cd0781fe1a40d1617fe3ee826c6c92ec67973b7024096a3cc21c0adc8589ca20
Transactions (1)
Coinbasecd0781fe1a40d1…1c0adc8589ca20
1 in β†’ 1 out8.8700 XPM110 B
AGkSEpsW…KkqWBjVH
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.

1.472 Γ— 10⁹⁡(96-digit number)
14723885829518251216…24080961979123235200
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
1.472 Γ— 10⁹⁡(96-digit number)
14723885829518251216…24080961979123235199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.944 Γ— 10⁹⁡(96-digit number)
29447771659036502433…48161923958246470399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
5.889 Γ— 10⁹⁡(96-digit number)
58895543318073004867…96323847916492940799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.177 Γ— 10⁹⁢(97-digit number)
11779108663614600973…92647695832985881599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.355 Γ— 10⁹⁢(97-digit number)
23558217327229201947…85295391665971763199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.711 Γ— 10⁹⁢(97-digit number)
47116434654458403894…70590783331943526399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.423 Γ— 10⁹⁢(97-digit number)
94232869308916807788…41181566663887052799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.884 Γ— 10⁹⁷(98-digit number)
18846573861783361557…82363133327774105599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.769 Γ— 10⁹⁷(98-digit number)
37693147723566723115…64726266655548211199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.538 Γ— 10⁹⁷(98-digit number)
75386295447133446230…29452533311096422399
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 1606513

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 c8bb8b880b5addd3a43a64871373b94cc7ed36f9bffe79dfc1fcaed2495a7d6e

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 #1,606,513 on Chainz β†—
Circulating Supply:57,949,787 XPMΒ·at block #6,838,188 Β· updates every 60s
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