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Home/Chain Registry/Block #2,333,408

Block #2,333,408

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 10/12/2017, 4:34:08 AM Β· Difficulty 10.9228 Β· 4,505,945 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
0c52ad48a58090313433733a948ffee7702c961cbec5bc4cc7d0bb0fe544dfad
View on Chainz β†—

Difficulty

10.922790

Transactions

1

Size

201 B

Version

2

Bits

0aec3bfb

Nonce

508,510,735

Timestamp

10/12/2017, 4:34:08 AM

Confirmations

4,505,945

Merkle Root

cb7fd994b4434fa06f34585717eb725481741542a8da21514f0eb2c00a7a1b31
Transactions (1)
Coinbasecb7fd994b4434f…0eb2c00a7a1b31
1 in β†’ 1 out8.3700 XPM110 B
ALeP5GDG…9ytKtVSu
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.

7.467 Γ— 10⁹⁢(97-digit number)
74678083516757091738…04759401648488837120
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
7.467 Γ— 10⁹⁢(97-digit number)
74678083516757091738…04759401648488837119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.493 Γ— 10⁹⁷(98-digit number)
14935616703351418347…09518803296977674239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.987 Γ— 10⁹⁷(98-digit number)
29871233406702836695…19037606593955348479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.974 Γ— 10⁹⁷(98-digit number)
59742466813405673390…38075213187910696959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.194 Γ— 10⁹⁸(99-digit number)
11948493362681134678…76150426375821393919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.389 Γ— 10⁹⁸(99-digit number)
23896986725362269356…52300852751642787839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.779 Γ— 10⁹⁸(99-digit number)
47793973450724538712…04601705503285575679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
9.558 Γ— 10⁹⁸(99-digit number)
95587946901449077425…09203411006571151359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.911 Γ— 10⁹⁹(100-digit number)
19117589380289815485…18406822013142302719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.823 Γ— 10⁹⁹(100-digit number)
38235178760579630970…36813644026284605439
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 2333408

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 0c52ad48a58090313433733a948ffee7702c961cbec5bc4cc7d0bb0fe544dfad

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 #2,333,408 on Chainz β†—
Circulating Supply:57,959,111 XPMΒ·at block #6,839,352 Β· updates every 60s
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