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Home/Chain Registry/Block #2,925,464

Block #2,925,464

1CCLength 11β˜…β˜…β˜…β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 11/16/2018, 1:27:12 PM Β· Difficulty 11.3545 Β· 3,915,237 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
64ac34267f10b8769c7cc7b586fe6377f87eddc6f43b859e6f31a5c17bd8c987
View on Chainz β†—

Difficulty

11.354506

Transactions

1

Size

200 B

Version

2

Bits

0b5ac0e7

Nonce

1,059,283,720

Timestamp

11/16/2018, 1:27:12 PM

Confirmations

3,915,237

Merkle Root

bd0e743b0fe37869eb378469749ada9dc55ddee905010b52475eea94ac1eb033
Transactions (1)
Coinbasebd0e743b0fe378…5eea94ac1eb033
1 in β†’ 1 out7.7400 XPM110 B
AbXwmGxD…4XXYP765
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.

3.646 Γ— 10⁹⁡(96-digit number)
36462017614788952907…95423970966908422400
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
3.646 Γ— 10⁹⁡(96-digit number)
36462017614788952907…95423970966908422399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
7.292 Γ— 10⁹⁡(96-digit number)
72924035229577905814…90847941933816844799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.458 Γ— 10⁹⁢(97-digit number)
14584807045915581162…81695883867633689599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
2.916 Γ— 10⁹⁢(97-digit number)
29169614091831162325…63391767735267379199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
5.833 Γ— 10⁹⁢(97-digit number)
58339228183662324651…26783535470534758399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.166 Γ— 10⁹⁷(98-digit number)
11667845636732464930…53567070941069516799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
2.333 Γ— 10⁹⁷(98-digit number)
23335691273464929860…07134141882139033599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
4.667 Γ— 10⁹⁷(98-digit number)
46671382546929859720…14268283764278067199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
9.334 Γ— 10⁹⁷(98-digit number)
93342765093859719441…28536567528556134399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
1.866 Γ— 10⁹⁸(99-digit number)
18668553018771943888…57073135057112268799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
11
2^10 Γ— origin βˆ’ 1
3.733 Γ— 10⁹⁸(99-digit number)
37337106037543887776…14146270114224537599
Verify on FactorDB β†—Wolfram Alpha β†—

What this block proved

The miner who found this block proved the existence of 11 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
RareChain length 11
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 2925464

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 64ac34267f10b8769c7cc7b586fe6377f87eddc6f43b859e6f31a5c17bd8c987

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 #2,925,464 on Chainz β†—
Circulating Supply:57,969,949 XPMΒ·at block #6,840,700 Β· updates every 60s
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