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Home/Chain Registry/Block #1,460,033

Block #1,460,033

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/16/2016, 4:25:08 PM Β· Difficulty 10.7749 Β· 5,366,937 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
47a52e072f6928f629e5dd02d13a9ebee6c2cfe74ca5a6769d90df7ddb2cc8c0
View on Chainz β†—

Difficulty

10.774942

Transactions

1

Size

243 B

Version

2

Bits

0ac66293

Nonce

22,773,063

Timestamp

2/16/2016, 4:25:08 PM

Confirmations

5,366,937

Merkle Root

48fbe48475f7b06f78a2c17aa44d5e600efeb9d8746ec82f78c6793fe6f66645
Transactions (1)
Coinbase48fbe48475f7b0…c6793fe6f66645
1 in β†’ 2 out8.6000 XPM152 B
AXZf8xqq…hQwCQgXtALPu3s2c…EJXLjVFh
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.

1.119 Γ— 10⁹⁷(98-digit number)
11195833122265043722…23356145721189253120
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
1.119 Γ— 10⁹⁷(98-digit number)
11195833122265043722…23356145721189253119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
2.239 Γ— 10⁹⁷(98-digit number)
22391666244530087444…46712291442378506239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
4.478 Γ— 10⁹⁷(98-digit number)
44783332489060174888…93424582884757012479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
8.956 Γ— 10⁹⁷(98-digit number)
89566664978120349776…86849165769514024959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.791 Γ— 10⁹⁸(99-digit number)
17913332995624069955…73698331539028049919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
3.582 Γ— 10⁹⁸(99-digit number)
35826665991248139910…47396663078056099839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
7.165 Γ— 10⁹⁸(99-digit number)
71653331982496279821…94793326156112199679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
1.433 Γ— 10⁹⁹(100-digit number)
14330666396499255964…89586652312224399359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
2.866 Γ— 10⁹⁹(100-digit number)
28661332792998511928…79173304624448798719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
5.732 Γ— 10⁹⁹(100-digit number)
57322665585997023856…58346609248897597439
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 1460033

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 47a52e072f6928f629e5dd02d13a9ebee6c2cfe74ca5a6769d90df7ddb2cc8c0

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 #1,460,033 on Chainz β†—
Circulating Supply:57,859,934 XPMΒ·at block #6,826,969 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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