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Home/Chain Registry/Block #2,894,302

Block #2,894,302

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/24/2018, 2:40:37 AM Β· Difficulty 11.6140 Β· 3,948,653 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
da5955522311fc98b5bcf08d8525f2f4393391fd3dc3dc35da28d1f95e5544c9
View on Chainz β†—

Difficulty

11.614026

Transactions

1

Size

200 B

Version

2

Bits

0b9d30cf

Nonce

816,242,209

Timestamp

10/24/2018, 2:40:37 AM

Confirmations

3,948,653

Merkle Root

8fdf56637742d015f13301ca33df845c7a3b6fb977ecaa08cf4994097c485405
Transactions (1)
Coinbase8fdf56637742d0…4994097c485405
1 in β†’ 1 out7.4000 XPM110 B
AascNTT9…2RYzLjcy
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.

1.846 Γ— 10⁹⁡(96-digit number)
18469527486147012087…92234459351998152960
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
1.846 Γ— 10⁹⁡(96-digit number)
18469527486147012087…92234459351998152959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.693 Γ— 10⁹⁡(96-digit number)
36939054972294024175…84468918703996305919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
7.387 Γ— 10⁹⁡(96-digit number)
73878109944588048351…68937837407992611839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.477 Γ— 10⁹⁢(97-digit number)
14775621988917609670…37875674815985223679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.955 Γ— 10⁹⁢(97-digit number)
29551243977835219340…75751349631970447359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
5.910 Γ— 10⁹⁢(97-digit number)
59102487955670438681…51502699263940894719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.182 Γ— 10⁹⁷(98-digit number)
11820497591134087736…03005398527881789439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
2.364 Γ— 10⁹⁷(98-digit number)
23640995182268175472…06010797055763578879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
4.728 Γ— 10⁹⁷(98-digit number)
47281990364536350944…12021594111527157759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
9.456 Γ— 10⁹⁷(98-digit number)
94563980729072701889…24043188223054315519
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.891 Γ— 10⁹⁸(99-digit number)
18912796145814540377…48086376446108631039
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 2894302

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 da5955522311fc98b5bcf08d8525f2f4393391fd3dc3dc35da28d1f95e5544c9

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 #2,894,302 on Chainz β†—
Circulating Supply:57,987,992 XPMΒ·at block #6,842,954 Β· updates every 60s
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