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Block #94,361

1CCLength 9β˜…β˜†β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 8/3/2013, 1:19:11 AM Β· Difficulty 9.2019 Β· 6,732,301 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
17d559e8069177a5f8ad8b1c7922c5181f596bbb8d974343178b8c2020d7e667
View on Chainz β†—

Height

#94,361

Difficulty

9.201886

Transactions

1

Size

200 B

Version

2

Bits

0933aec9

Nonce

1,158,939

Timestamp

8/3/2013, 1:19:11 AM

Confirmations

6,732,301

Merkle Root

deb27e49d69d390b9466e59e74c7b39f2e4a13b2d35b9e98f14b2d70ffa75308
Transactions (1)
Coinbasedeb27e49d69d39…4b2d70ffa75308
1 in β†’ 1 out11.7900 XPM109 B
APgByjJF…qEGzQRkF
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.

5.946 Γ— 10⁹⁷(98-digit number)
59462692280866495453…34821464296692303120
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
5.946 Γ— 10⁹⁷(98-digit number)
59462692280866495453…34821464296692303119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.189 Γ— 10⁹⁸(99-digit number)
11892538456173299090…69642928593384606239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.378 Γ— 10⁹⁸(99-digit number)
23785076912346598181…39285857186769212479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
4.757 Γ— 10⁹⁸(99-digit number)
47570153824693196362…78571714373538424959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
9.514 Γ— 10⁹⁸(99-digit number)
95140307649386392725…57143428747076849919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.902 Γ— 10⁹⁹(100-digit number)
19028061529877278545…14286857494153699839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
3.805 Γ— 10⁹⁹(100-digit number)
38056123059754557090…28573714988307399679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
7.611 Γ— 10⁹⁹(100-digit number)
76112246119509114180…57147429976614799359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.522 Γ— 10¹⁰⁰(101-digit number)
15222449223901822836…14294859953229598719
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 9 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
CommonChain length 9
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 94361

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 17d559e8069177a5f8ad8b1c7922c5181f596bbb8d974343178b8c2020d7e667

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 #94,361 on Chainz β†—
Circulating Supply:57,857,444 XPMΒ·at block #6,826,661 Β· updates every 60s
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