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Home/Chain Registry/Block #1,769,482

Block #1,769,482

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 9/19/2016, 4:08:28 AM Β· Difficulty 10.7436 Β· 5,046,440 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
5093a4aaa81f7e99a30b2da4b385a96df20a1d704cea21b0494e044376aa9d41
View on Chainz β†—

Difficulty

10.743629

Transactions

1

Size

200 B

Version

2

Bits

0abe5e78

Nonce

232,671,601

Timestamp

9/19/2016, 4:08:28 AM

Confirmations

5,046,440

Merkle Root

8a36ffc0be53563de7213eed69a65a62967dded14ba5357f16985da78e4f860a
Transactions (1)
Coinbase8a36ffc0be5356…985da78e4f860a
1 in β†’ 1 out8.6500 XPM110 B
AebNJKVM…MyYKZLL6
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.

4.414 Γ— 10⁹⁴(95-digit number)
44148666668256656109…49781002478657203840
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
4.414 Γ— 10⁹⁴(95-digit number)
44148666668256656109…49781002478657203839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
8.829 Γ— 10⁹⁴(95-digit number)
88297333336513312218…99562004957314407679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.765 Γ— 10⁹⁡(96-digit number)
17659466667302662443…99124009914628815359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
3.531 Γ— 10⁹⁡(96-digit number)
35318933334605324887…98248019829257630719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
7.063 Γ— 10⁹⁡(96-digit number)
70637866669210649774…96496039658515261439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.412 Γ— 10⁹⁢(97-digit number)
14127573333842129954…92992079317030522879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
2.825 Γ— 10⁹⁢(97-digit number)
28255146667684259909…85984158634061045759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
5.651 Γ— 10⁹⁢(97-digit number)
56510293335368519819…71968317268122091519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.130 Γ— 10⁹⁷(98-digit number)
11302058667073703963…43936634536244183039
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
2.260 Γ— 10⁹⁷(98-digit number)
22604117334147407927…87873269072488366079
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 1769482

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 5093a4aaa81f7e99a30b2da4b385a96df20a1d704cea21b0494e044376aa9d41

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 #1,769,482 on Chainz β†—
Circulating Supply:57,771,487 XPMΒ·at block #6,815,921 Β· updates every 60s
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