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Home/Chain Registry/Block #1,488,087

Block #1,488,087

1CCLength 10β˜…β˜…β˜†β˜†β˜†

Cunningham Chain of the First Kind Β· Discovered 3/8/2016, 12:04:10 AM Β· Difficulty 10.7153 Β· 5,344,655 confirmations

1CC
Cunningham Chain of the First Kind

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

Block Header
Block Hash
ef35584f08d124cfafa0d7e96edaca1f5c40a51af81e1d422da0514edf5b32f0
View on Chainz β†—

Difficulty

10.715295

Transactions

1

Size

200 B

Version

2

Bits

0ab71d9a

Nonce

1,853,651,498

Timestamp

3/8/2016, 12:04:10 AM

Confirmations

5,344,655

Merkle Root

acbb78bbb93e01a92d9f77092fb3f15b51adb60b2d1e102fe059cf4db48feb04
Transactions (1)
Coinbaseacbb78bbb93e01…59cf4db48feb04
1 in β†’ 1 out8.7000 XPM110 B
APQqM98g…LHpAKquo
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.

4.230 Γ— 10⁹⁡(96-digit number)
42304299779109816823…27019233484672364800
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
4.230 Γ— 10⁹⁡(96-digit number)
42304299779109816823…27019233484672364799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
2
2^1 Γ— origin βˆ’ 1
8.460 Γ— 10⁹⁡(96-digit number)
84608599558219633647…54038466969344729599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
3
2^2 Γ— origin βˆ’ 1
1.692 Γ— 10⁹⁢(97-digit number)
16921719911643926729…08076933938689459199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
4
2^3 Γ— origin βˆ’ 1
3.384 Γ— 10⁹⁢(97-digit number)
33843439823287853458…16153867877378918399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
5
2^4 Γ— origin βˆ’ 1
6.768 Γ— 10⁹⁢(97-digit number)
67686879646575706917…32307735754757836799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
6
2^5 Γ— origin βˆ’ 1
1.353 Γ— 10⁹⁷(98-digit number)
13537375929315141383…64615471509515673599
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
7
2^6 Γ— origin βˆ’ 1
2.707 Γ— 10⁹⁷(98-digit number)
27074751858630282767…29230943019031347199
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
8
2^7 Γ— origin βˆ’ 1
5.414 Γ— 10⁹⁷(98-digit number)
54149503717260565534…58461886038062694399
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
9
2^8 Γ— origin βˆ’ 1
1.082 Γ— 10⁹⁸(99-digit number)
10829900743452113106…16923772076125388799
Verify on FactorDB β†—Wolfram Alpha β†—
Γ—2+1 β†’
10
2^9 Γ— origin βˆ’ 1
2.165 Γ— 10⁹⁸(99-digit number)
21659801486904226213…33847544152250777599
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 1488087

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 ef35584f08d124cfafa0d7e96edaca1f5c40a51af81e1d422da0514edf5b32f0

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 #1,488,087 on Chainz β†—
Circulating Supply:57,906,095 XPMΒ·at block #6,832,741 Β· updates every 60s
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AQZeJoQ81VgeHQBpEYTgvNqV1gnz3L5SvK

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