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Home/Chain Registry/Block #1,454,574

Block #1,454,574

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 2/13/2016, 3:57:57 PM Β· Difficulty 10.7192 Β· 5,385,064 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
19faa9e092f95d5b1fd03e5c5d76dfdad0f99965bb432464d1e1cc250b573bd8
View on Chainz β†—

Difficulty

10.719212

Transactions

1

Size

242 B

Version

2

Bits

0ab81e4f

Nonce

1,152,636,426

Timestamp

2/13/2016, 3:57:57 PM

Confirmations

5,385,064

Merkle Root

6f7ffb40c6f8a07c85b46718a1bc7256f06ea859779e4cd440940e92eb321efe
Transactions (1)
Coinbase6f7ffb40c6f8a0…940e92eb321efe
1 in β†’ 2 out8.6900 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.

2.578 Γ— 10⁹⁡(96-digit number)
25781520276698831793…24038667155246248960
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
2.578 Γ— 10⁹⁡(96-digit number)
25781520276698831793…24038667155246248959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
5.156 Γ— 10⁹⁡(96-digit number)
51563040553397663586…48077334310492497919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.031 Γ— 10⁹⁢(97-digit number)
10312608110679532717…96154668620984995839
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.062 Γ— 10⁹⁢(97-digit number)
20625216221359065434…92309337241969991679
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
4.125 Γ— 10⁹⁢(97-digit number)
41250432442718130868…84618674483939983359
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
8.250 Γ— 10⁹⁢(97-digit number)
82500864885436261737…69237348967879966719
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
1.650 Γ— 10⁹⁷(98-digit number)
16500172977087252347…38474697935759933439
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
3.300 Γ— 10⁹⁷(98-digit number)
33000345954174504695…76949395871519866879
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
6.600 Γ— 10⁹⁷(98-digit number)
66000691908349009390…53898791743039733759
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.320 Γ— 10⁹⁸(99-digit number)
13200138381669801878…07797583486079467519
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 1454574

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 19faa9e092f95d5b1fd03e5c5d76dfdad0f99965bb432464d1e1cc250b573bd8

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 #1,454,574 on Chainz β†—
Circulating Supply:57,961,398 XPMΒ·at block #6,839,637 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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