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Block #466,179

2CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the Second Kind Β· Discovered 3/29/2014, 11:55:39 PM Β· Difficulty 10.4221 Β· 6,329,162 confirmations

2CC
Cunningham Chain of the Second Kind

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

Block Header
Block Hash
73a1a1f4b19aa12db962d2da45c2411d4df824271411f8ba071530ad8a7fc8c8
View on Chainz β†—

Height

#466,179

Difficulty

10.422127

Transactions

2

Size

427 B

Version

2

Bits

0a6c107d

Nonce

9,179,013

Timestamp

3/29/2014, 11:55:39 PM

Confirmations

6,329,162

Merkle Root

0297893e03cb466b85723ebcf8a16604a877f3833d7861690318e4723142ba4e
Transactions (2)
Coinbase1d29fcb629901f…7b7bb201541c51
1 in β†’ 1 out9.2000 XPM110 B
Aae4nVke…H5sbBVKo
c0e7750997f63c…97a048d5f55226
1 in β†’ 2 out85.6700 XPM226 B
APFqa1ny…CKiUnEmNATuCCtPm…5aBPchgD
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.

1.405 Γ— 10⁹⁢(97-digit number)
14052063102051950078…40817196815242826240
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
1.405 Γ— 10⁹⁢(97-digit number)
14052063102051950078…40817196815242826241
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
2
2^1 Γ— origin + 1
2.810 Γ— 10⁹⁢(97-digit number)
28104126204103900156…81634393630485652481
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
3
2^2 Γ— origin + 1
5.620 Γ— 10⁹⁢(97-digit number)
56208252408207800312…63268787260971304961
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
4
2^3 Γ— origin + 1
1.124 Γ— 10⁹⁷(98-digit number)
11241650481641560062…26537574521942609921
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
5
2^4 Γ— origin + 1
2.248 Γ— 10⁹⁷(98-digit number)
22483300963283120124…53075149043885219841
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
6
2^5 Γ— origin + 1
4.496 Γ— 10⁹⁷(98-digit number)
44966601926566240249…06150298087770439681
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
7
2^6 Γ— origin + 1
8.993 Γ— 10⁹⁷(98-digit number)
89933203853132480499…12300596175540879361
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
8
2^7 Γ— origin + 1
1.798 Γ— 10⁹⁸(99-digit number)
17986640770626496099…24601192351081758721
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
9
2^8 Γ— origin + 1
3.597 Γ— 10⁹⁸(99-digit number)
35973281541252992199…49202384702163517441
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2βˆ’1 β†’
10
2^9 Γ— origin + 1
7.194 Γ— 10⁹⁸(99-digit number)
71946563082505984399…98404769404327034881
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 466179

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 73a1a1f4b19aa12db962d2da45c2411d4df824271411f8ba071530ad8a7fc8c8

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 #466,179 on Chainz β†—
Circulating Supply:57,606,780 XPMΒ·at block #6,795,340 Β· updates every 60s
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