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Home/Chain Registry/Block #2,455,672

Block #2,455,672

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 1/3/2018, 12:01:23 PM Β· Difficulty 10.9530 Β· 4,389,044 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
9c42a3e971c6f7bf67af19dcddf642e60461c327174d75c7bc8ea5fd2513ccf6
View on Chainz β†—

Difficulty

10.953036

Transactions

1

Size

198 B

Version

2

Bits

0af3fa2c

Nonce

174,198,267

Timestamp

1/3/2018, 12:01:23 PM

Confirmations

4,389,044

Merkle Root

d5e0c79eb42caab77ff500c1aa4c83a076e26c0473154c4f1e1562bb1e08100a
Transactions (1)
Coinbased5e0c79eb42caa…1562bb1e08100a
1 in β†’ 1 out8.3200 XPM109 B
AbCBNek1…JwEbce91
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.

6.268 Γ— 10⁹¹(92-digit number)
62682092827282827870…57092531479979211570
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
6.268 Γ— 10⁹¹(92-digit number)
62682092827282827870…57092531479979211569
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
1.253 Γ— 10⁹²(93-digit number)
12536418565456565574…14185062959958423139
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
2.507 Γ— 10⁹²(93-digit number)
25072837130913131148…28370125919916846279
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
5.014 Γ— 10⁹²(93-digit number)
50145674261826262296…56740251839833692559
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
1.002 Γ— 10⁹³(94-digit number)
10029134852365252459…13480503679667385119
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
2.005 Γ— 10⁹³(94-digit number)
20058269704730504918…26961007359334770239
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
4.011 Γ— 10⁹³(94-digit number)
40116539409461009836…53922014718669540479
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
8.023 Γ— 10⁹³(94-digit number)
80233078818922019673…07844029437339080959
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.604 Γ— 10⁹⁴(95-digit number)
16046615763784403934…15688058874678161919
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
3.209 Γ— 10⁹⁴(95-digit number)
32093231527568807869…31376117749356323839
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 2455672

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 9c42a3e971c6f7bf67af19dcddf642e60461c327174d75c7bc8ea5fd2513ccf6

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 #2,455,672 on Chainz β†—
Circulating Supply:58,002,137 XPMΒ·at block #6,844,715 Β· updates every 60s
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