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Home/Chain Registry/Block #2,884,932

Block #2,884,932

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/17/2018, 11:24:19 AM Β· Difficulty 11.6277 Β· 3,960,369 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
f6d004c0e59ae59c201e520bba6d8077b95d12f695ef6b48c8efed92f3cf79e6
View on Chainz β†—

Difficulty

11.627697

Transactions

1

Size

200 B

Version

2

Bits

0ba0b0b8

Nonce

1,257,659,540

Timestamp

10/17/2018, 11:24:19 AM

Confirmations

3,960,369

Merkle Root

9708d98912235368211d394e827d37bb9f772ee1ad4a7c2860a759254cf1d5f2
Transactions (1)
Coinbase9708d989122353…a759254cf1d5f2
1 in β†’ 1 out7.3800 XPM110 B
AeMbUaRE…sRkk6faG
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.

1.601 Γ— 10⁹⁴(95-digit number)
16010078908742813454…18824615845651167780
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
1.601 Γ— 10⁹⁴(95-digit number)
16010078908742813454…18824615845651167779
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.202 Γ— 10⁹⁴(95-digit number)
32020157817485626909…37649231691302335559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.404 Γ— 10⁹⁴(95-digit number)
64040315634971253818…75298463382604671119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.280 Γ— 10⁹⁡(96-digit number)
12808063126994250763…50596926765209342239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.561 Γ— 10⁹⁡(96-digit number)
25616126253988501527…01193853530418684479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
5.123 Γ— 10⁹⁡(96-digit number)
51232252507977003054…02387707060837368959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.024 Γ— 10⁹⁢(97-digit number)
10246450501595400610…04775414121674737919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.049 Γ— 10⁹⁢(97-digit number)
20492901003190801221…09550828243349475839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
4.098 Γ— 10⁹⁢(97-digit number)
40985802006381602443…19101656486698951679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
8.197 Γ— 10⁹⁢(97-digit number)
81971604012763204887…38203312973397903359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.639 Γ— 10⁹⁷(98-digit number)
16394320802552640977…76406625946795806719
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 2884932

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 f6d004c0e59ae59c201e520bba6d8077b95d12f695ef6b48c8efed92f3cf79e6

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 #2,884,932 on Chainz β†—
Circulating Supply:58,006,848 XPMΒ·at block #6,845,300 Β· updates every 60s
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