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Home/Chain Registry/Block #1,483,454

Block #1,483,454

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 3/4/2016, 2:53:40 PM Β· Difficulty 10.7282 Β· 5,359,233 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
96fcdae5d19b6ee671c628d4ccc3f4f86b6dc0fc12c2215f7d5710decb4ef50c
View on Chainz β†—

Difficulty

10.728232

Transactions

1

Size

200 B

Version

2

Bits

0aba6d63

Nonce

1,828,821,238

Timestamp

3/4/2016, 2:53:40 PM

Confirmations

5,359,233

Merkle Root

f21b5049976f384ae323bce1e04c2ca1efeed4fe6239f01280c2372fe3765264
Transactions (1)
Coinbasef21b5049976f38…c2372fe3765264
1 in β†’ 1 out8.6700 XPM110 B
Ae3jZ1ds…zhEWj3r5
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.

9.590 Γ— 10⁹⁡(96-digit number)
95900628437397767957…10451461221135408000
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
9.590 Γ— 10⁹⁡(96-digit number)
95900628437397767957…10451461221135408001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
1.918 Γ— 10⁹⁢(97-digit number)
19180125687479553591…20902922442270816001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
3.836 Γ— 10⁹⁢(97-digit number)
38360251374959107182…41805844884541632001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
7.672 Γ— 10⁹⁢(97-digit number)
76720502749918214365…83611689769083264001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
1.534 Γ— 10⁹⁷(98-digit number)
15344100549983642873…67223379538166528001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
3.068 Γ— 10⁹⁷(98-digit number)
30688201099967285746…34446759076333056001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
6.137 Γ— 10⁹⁷(98-digit number)
61376402199934571492…68893518152666112001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.227 Γ— 10⁹⁸(99-digit number)
12275280439986914298…37787036305332224001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
2.455 Γ— 10⁹⁸(99-digit number)
24550560879973828597…75574072610664448001
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
4.910 Γ— 10⁹⁸(99-digit number)
49101121759947657194…51148145221328896001
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 1483454

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 96fcdae5d19b6ee671c628d4ccc3f4f86b6dc0fc12c2215f7d5710decb4ef50c

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 #1,483,454 on Chainz β†—
Circulating Supply:57,985,843 XPMΒ·at block #6,842,686 Β· updates every 60s
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