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Home/Chain Registry/Block #1,595,201

Block #1,595,201

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 5/22/2016, 10:06:47 AM Β· Difficulty 10.6227 Β· 5,244,676 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
5bfa255f8b4019e2ab9088d2f506b36677fbe0b280cdf969b4fc91c255ea5665
View on Chainz β†—

Difficulty

10.622670

Transactions

1

Size

199 B

Version

2

Bits

0a9f6745

Nonce

102,235,556

Timestamp

5/22/2016, 10:06:47 AM

Confirmations

5,244,676

Merkle Root

8173a3f51a7827f6415b08a52df6e75743b0ba6b9b9a5d8969737373f33acfed
Transactions (1)
Coinbase8173a3f51a7827…737373f33acfed
1 in β†’ 1 out8.8500 XPM109 B
AeaYhHX7…TBaRyYEX
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.

1.954 Γ— 10⁹⁡(96-digit number)
19541678434946170814…45671135786753162240
Discovered Prime Numbers
p_k = 2^k Γ— origin + 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 + 1
1.954 Γ— 10⁹⁡(96-digit number)
19541678434946170814…45671135786753162241
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
3.908 Γ— 10⁹⁡(96-digit number)
39083356869892341629…91342271573506324481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
7.816 Γ— 10⁹⁡(96-digit number)
78166713739784683258…82684543147012648961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.563 Γ— 10⁹⁢(97-digit number)
15633342747956936651…65369086294025297921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
3.126 Γ— 10⁹⁢(97-digit number)
31266685495913873303…30738172588050595841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
6.253 Γ— 10⁹⁢(97-digit number)
62533370991827746606…61476345176101191681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
1.250 Γ— 10⁹⁷(98-digit number)
12506674198365549321…22952690352202383361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
2.501 Γ— 10⁹⁷(98-digit number)
25013348396731098642…45905380704404766721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
5.002 Γ— 10⁹⁷(98-digit number)
50026696793462197285…91810761408809533441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
1.000 Γ— 10⁹⁸(99-digit number)
10005339358692439457…83621522817619066881
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 Second 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 2CC formula:

2CC: p₁ (first prime), pβ‚‚ = 2p₁ βˆ’ 1, p₃ = 2pβ‚‚ βˆ’ 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 1595201

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 5bfa255f8b4019e2ab9088d2f506b36677fbe0b280cdf969b4fc91c255ea5665

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 #1,595,201 on Chainz β†—
Circulating Supply:57,963,317 XPMΒ·at block #6,839,876 Β· updates every 60s
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