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Home/Chain Registry/Block #2,287,329

Block #2,287,329

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 9/8/2017, 4:27:40 AM Β· Difficulty 10.9555 Β· 4,543,574 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
907142335599b67f8cdfd4d94e093323e059a70f019ebf935318bf2e0664afc4
View on Chainz β†—

Difficulty

10.955536

Transactions

1

Size

199 B

Version

2

Bits

0af49e03

Nonce

777,054,085

Timestamp

9/8/2017, 4:27:40 AM

Confirmations

4,543,574

Merkle Root

a1f17461150a702c517aeee3eb60b7d59c2ec773e995d19a3288c643ee055442
Transactions (1)
Coinbasea1f17461150a70…88c643ee055442
1 in β†’ 1 out8.3200 XPM109 B
AZ5Ge49v…tYtrd6gx
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.

1.514 Γ— 10⁹⁡(96-digit number)
15143391498543995497…02201900596938073600
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
1.514 Γ— 10⁹⁡(96-digit number)
15143391498543995497…02201900596938073599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
3.028 Γ— 10⁹⁡(96-digit number)
30286782997087990995…04403801193876147199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
6.057 Γ— 10⁹⁡(96-digit number)
60573565994175981991…08807602387752294399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
1.211 Γ— 10⁹⁢(97-digit number)
12114713198835196398…17615204775504588799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
2.422 Γ— 10⁹⁢(97-digit number)
24229426397670392796…35230409551009177599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
4.845 Γ— 10⁹⁢(97-digit number)
48458852795340785593…70460819102018355199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
9.691 Γ— 10⁹⁢(97-digit number)
96917705590681571186…40921638204036710399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.938 Γ— 10⁹⁷(98-digit number)
19383541118136314237…81843276408073420799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
3.876 Γ— 10⁹⁷(98-digit number)
38767082236272628474…63686552816146841599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
7.753 Γ— 10⁹⁷(98-digit number)
77534164472545256948…27373105632293683199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
1.550 Γ— 10⁹⁸(99-digit number)
15506832894509051389…54746211264587366399
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 2287329

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 907142335599b67f8cdfd4d94e093323e059a70f019ebf935318bf2e0664afc4

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 #2,287,329 on Chainz β†—
Circulating Supply:57,891,353 XPMΒ·at block #6,830,902 Β· updates every 60s
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